Maximum dissipation non-equilibrium thermodynamics and its geometric structure

Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure

Volumn , Issue , 2011, Pages 1-297

  Haslach Jr , Henry W ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

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EID: 84892320061     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4419-7765-6     Document Type: Book

References (321)

1. B. Bernstein (1960). Proof of Carathéodory's local theorem and its global application to thermostatics. Journal of Mathematical Physics 1(3), 222-224.
2. D. B. Bogy and P. M. Naghdi (1970). On heat conduction and wave propagation in rigid solids. Journal of Mathematical Physics 11, 917-923.
3. R. M. Bowen (1989). Introduction to Continuum Mechanics for Engineers, Plenum Press, New York.
4. R. W. Brockett (1983). Asymptotic stability and feedback stabilization. Differential Geometric Control Theory, Birkäuser, Boston, pp 181-191.
5. C. Carathéodory (1909). Investigations into the Foundations of Thermodynamics. In The Second Law of Thermodynamics, ed. J. Kestin, Dowden, Hutchinson and Ross Inc., Stroudsberg, PA, 1976. Originally, (Untersuchungen über die Grundlagen der Thermodynamik, Math. Ann. 67, 355-386).
6. P. Cermelli, E. Fried and S. Sellers (2001). Configurational stress, yield and flow in rate independent plasticity. Proceedings of the Royal Society of London A 457, 1447-1467.
7. R. M. Christensen (1982). Theory of Viscoelasticity; an introduction. 2nd Ed., Academic Press, New York.
8. B. D. Coleman (1964). On thermodynamics, strain, impulses and viscoelasticity. Archive for Rational Mechanics and Analysis 17, 230-254.
9. B. D. Coleman and M. E. Gurtin (1967). Thermodynamics with internal state variables. Journal of Chemical Physics 47, 597-613.
10. Y. Demirel and S. I. Sandler (2001). Linear-nonequilibrium thermodynamics theory for coupled heat and mass transport. International Journal of Heat and Mass Transfer 44, 2439-2451.
11. Y. Demirel and S. I. Sandler (2004). Nonequilibrium thermodynamics in engineering and science. Journal of Physical Chemistry B 108, 31-43.
12. L. Deseri and R. Mares (2000). A class of viscoplastic constitutive models based on the maximum dissipation principle. Mechanics of Materials 32, 389-403.
13. P. Duhem (1906). Recherches sur l'Elasticité. Gauthier-Villars, Paris.
14. P. Duhem (1911). Traité d'Enérgétique ou Thermodynamique Générale, Gauthier-illars, Paris.
15. J. L. Ericksen (1991). Introduction to the Thermodynamics of Solids, 1st Ed., Chapman-Hall, London.
16. F. D. Fischer and J. Svoboda (2007). A note on the principle of maximum dissipation rate. Journal of Applied Mechanics 74, 923-926.
17. L. S. Garcìa-Colìn (1988). Extended non-equilibrium thermodynamics, scope and limitations. Revista Mexicana de Fisica 34, 344-366.
18. L. S. Garcìa-Colìn and F. J. Uribe (1991). Extended irreversible thermodynamics, beyond the linear regime: A critical overview. Journal of Non-Equilibrium Thermodynamics 16, 89-128.
19. J. W. Gibbs (1873a). Graphical methods in the thermodynamics of fluids. In The Collected Works, Vol. 1, Yale University Press, New Haven, 1948.
20. J. W. Gibbs (1873b). A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. Transactions of the Connecticut Academy II, 382-404. Also in The Collected Works, Vol. 1, Yale University Press, New Haven 1948, 33-54.
21. S. R. de Groot and P. Mazur (1984). Non-equilibrium Thermodynamics, Dover, New York.
22. A. E. Green and P. M. Naghdi (1977). On thermodynamics and the nature of the second law. Proceedings of the Royal Society of London, Series A 357, 253-270.
23. M. E. Gurtin (1968). On the thermodynamics of materials with memory. Archive for Rational Mechanics and Analysis 28, 40-50.
24. R. B. Hall (2008). Combined thermodynamics approach for anisotropic, finite deformation overstress models of viscoplasticity. International Journal of Engineering Science 46, 119-130.
25. R. Hill (1948). A variational principle of maximum plastic work in classical plasticity, A. J. Mech. Applied Math. 1, 18-28.
26. R. Hill (1958). A general theory of uniqueness and stability in elastic-plastic solids. Journal of the Mechanics and Physics of Solids 6, 236-249.
27. G. A. Holzapfel (2000). Nonlinear Solid Mechanics, 2005 reprinting. Wiley, Chichester.
28. B. H. Lavenda (1993). Thermodynamics of Irreversible Processes, Dover, New York.
29. J. Lubliner (1984). A maximum-dissipation principle in generalized plasticity. Acta Mechanica 52, 225-237.
30. A. Lyapunov (1892). Problème general de la stabilité du mouvement. In Annual of Mathematics Studies 17, Princeton University Press (1949).
31. J. Mandel (1973). Thermodynamics and Plasticity. In Foundations of Continuum Thermodynamics, ed. J. J. Delgado Domingos, M. N. R. Nina, J. H. Whitelaw, John Wiley and Sons, New York.
32. L. M. Martyusheva and V. D. Seleznev (2006). Maximum entropy production principle in physics, chemistry and biology. Physics Reports 426, 1-45.
33. A. Moroz (2008). On a variational formulation of the maximum energy dissipation principle for non-equilibrium chemical thermodynamics. Chemical Physics Letters 457, 448-452.
34. I. Müller (1967). On the entropy inequality. Archive for Rational Mechanics and Analysis 26, 118-141.
35. I. Müller and T. Ruggeri (1998). Rational Extended Thermodynamics, 2nd Ed., Springer, New York.
36. Nguyen Quoc Son (1984). Bifurcation et stabilité des systèmes irréversibles obéissant au principe de dissipation maximale. Journal de Méchanique théorique et appliqué 3, 41-61.
37. L. Onsager (1931). Reciprocal relations in irreversible processes I, Physical Review 37, 405-426, and Reciprocal relations in irreversible processes II, Physical Review 38, 2265-2279.
38. M. Planck (1879). Über den zweiten Hauptsatz der mechanischen Wärmetheorie (Phd dissertation presented to the University of Munich).
39. L. Pogliani and M. N. Berberan-Santos (2000). Constantin Carathéodory and the axiomatic thermodynamics. Journal of Mathematical Chemistry 28(1-3), 313-324.
40. I. Prigogine and R. Defay (1954). Chemical Thermodynamics, Chapter IV, translated by D.H. Everett, Longmans, Green & Co.
41. J. Serrin (1986). An outline of thermodynamical structure. In New Perspectives in Thermodynamics, ed. J. Serrin, Springer-Verlag, Berlin.
42. C. Truesdell (1984). Rational Thermodynamics, Springer Verlag, New York.
43. C. Truesdell and R. A. Toupin (1960). The Classical Field Theories. Handbuch der Physik Vol. III/1, Ed. S. Flugge, Springer-Verlag, Berlin, Sec. 293.
44. F. W. Wilson (1966). The structure of the level surfaces of a Lyapunov function. Journal of Differential Equations 3, 323-329.
45. Q. Yang, L. G. Tham, and G. Swoboda (2005). Normality structures with homogeneous kinetic rate laws. Journal of Applied Mechanics 72, 322-329.
46. H. Ziegler and C. Wehrli (1987). On a principle of maximum rate of entropy production. Journal of Non-equilibrium Thermodynamics 12, 229-243.
47. J. L. Ericksen (1991). Introduction to the Thermodynamics of Solids, Chapman and Hall, London.
48. Y. C. Fung (1990). Biomechanics: Motion, Flow, Stress, and Growth, Springer, New York, NY.
49. R. W. Ogden (1972). Large Deformation Isotropic Elasticity - on the Correlation of Theory and Experiment for Incompressible Rubberlike Solids. Proceedings of the Royal Society of London A. 326, 565-584.
50. M. Fabrizio and A. Morro (2003). Electromagnetism of Continuous Media, Oxford University Press, Oxford.
51. J. W. Gibbs (1873). A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. Transactions of the Connecticut Academy II, 382-404. Also in The Collected Works, Vol. 1, Yale University Press, New Haven 1948, 33-54.
52. L. S. Garcìa-Colìn and F. J. Uribe (1991). Extended irreversible thermodynamics, beyond the linear regime: A critical overview. Journal of Non-Equilibrium Thermodynamics 16, 89-128.
53. J. Hale and H. Koçak (1991). Dynamics and Bifurcations, Springer-Verlag, New York.
54. H. W. Haslach, Jr. (1996). Nonlinear thermoviscoelastic relaxation. In Contemporary Research in the Mechanics and Mathematics of Materials, eds. R. C. Batra and M. F. Beatty, pp. 384-396. International Center for Numerical Methods in Engineering, Barcelona, Spain.
55. H.W. Haslach, Jr. (1997). Geometrical structure of the non-equilibrium thermodynamics of homogeneous systems. Reports on Mathematical Physics 39, 147-62.
56. H. W. Haslach, Jr. (2000). Constitutive models and singularity types for an elastic biaxially loaded rubber sheet. Mathematics and Mechanics of Solids 5, 41-73.
57. H. W. Haslach, Jr. (2002). A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation. International Journal of Plasticity 18(2), 127-153.
58. H. W. Haslach, Jr. (2005). Nonlinear viscoelastic, thermodynamically consistent, models for biological soft tissue. Biomechanics and Modeling in Mechanobiology 3(3), 172-189.
59. H. W. Haslach, Jr. (2009). Thermodynamically consistent, maximum dissipation, time-Dependent models for non-equilibrium behavior. International Journal of Solids and Structures 46, 3964- 3976. DOI: 10.1016/j.ijsolstr.2009. 07.017.
60. H.W. Haslach, Jr. (2010). A non-equilibrium thermodynamic model for the crack propagation rate. Mechanics of Time-Dependent Materials 14, 91-110. DOI: 10.1007/s11043-009-9094-9.
61. H. W. Haslach, Jr. and N-N Zeng (1999). Maximum dissipation evolution equations for nonlinear thermoviscoelasticity. International Journal of Non-linear Mechanics 34(2), 361-385.
62. H. W. Haslach, Jr., A. D. Freed, and K. P. Walker (1994). Nonlinear asymptotic integration algorithms for one-dimensional autonomous dissipative first-order ODEs. NASA Technical Memorandum, NASA TM 106780, 1-26.
63. H. W. Haslach, Jr., A. D. Freed, and K. P. Walker (1995). Nonlinear asymptotic integration algorithms for two-dimensional autonomous dissipative first-order ODEs. NASA Technical Memorandum, NASA TM 106837, 1-21.
64. P. Haupt (2002). Continuum Mechanics and Theory of Materials, 2nd ed., Springer, Berlin.
65. G. A. Holzapfel (2000). Nonlinear Solid Mechanics, 2005 reprinting. Wiley, Chichester.
66. A. Katok and B. Hasselblatt (1995). Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, New York.
67. J. R. Magnus (2010). On the concept of matrix derivative (Feb 21, 2010) http://center.uvt.nl/staff/magnus/wip12.pdf Accessed April 24, 2010.
68. L. E. Malvern (1969). Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, NY.
69. J. E. Marsden and T. J. R. Hughes (1994). Mathematical Foundations of Elasticity, Dover, New York.
70. R. W. Ogden (1984). Non-linear Elastic Deformations, Dover, Mineola, NY.
71. J. G. Oldroyd (1950). On the formulation of rheological equations of state. Proceedings of the Royal Society A 200, 523-541.
72. J. R. Rice (1971). Inelastic constitutive relations for solids: An internal variable theory and its application to metal plasticity. Journal of the Mechanics and Physics of Solids 19, 433-453.
73. M̌. Silhavý (1997). The Mechanics and Thermodynamics of Continuous Media, Springer-Verlag, Berlin.
74. J. C. Simo and K. S. Phister (1984). Remarks on rate constitutive equations for finite deformation problems: computational implications. Computer Methods in Applied Mechanics and Engineering 46, 201-215.
75. R. L. Anthony, R. H. Caston, and E. Guth (1942). Equations of state for natural and synthetic rubber-like materials. I. Journal of Physical Chemistry 46, 826-840.
76. J. T. Apter (1964). Mathematical development of a physical model of some visco-elastic properties of the aorta. Bulletin of Mathematical Biophysics 26, 267-288.
77. J. T. Apter, M. Rabinowitz, and D. H. Cummings (1966). Correlation of visco-elastic properties of large arteries with microscopic structure. I, II, III. Circulation Research 19, 104-121.
78. J. T. Apter and E. Marquez (1968). Correlation of visco-elastic properties of large arteries with microscopic structure. IV. Circulation Research 22, 393-404.
79. M. B. Bennett, R. F. Ker, N. J. Dimery, and R. McN. Alexander (1986). Mechanical properties of various mammalian tendons. Journal of Zoology, London A 209, 537-548.
80. L. E. Bilston, Z. Liu, and N. Phan-Thien (2001). Large strain behavior of brain tissue in shear: Some experimental data and differential constitutive model. Biorheology 38, 335-345.
81. J. Bonet (2001). Large strain viscoelastic constitutive models. International Journal of Solids and Structures 38, 2953-2968.
82. O. S. Brüller (1985). On the nonlinear response of polymers to periodical sudden loading and unloading. Polymer Engineering and Science 25, 604-607.
83. O. S. Brüller (1987). On the nonlinear characterization of the long term behavior of polymeric materials. Polymer Engineering and Science 27, 144-148.
84. O. S. Brüller (1991). Some New Results Concerning the Nonlinear Viscoelastic Characterization of Polymeric Materials. In Constitutive Laws for Engineering Materials, eds. C. S. Desai, E.Krempl, G. Frantziskonis, and H. Saadatmanesh, 241-246. ASME Press, New York, NY.
85. P. Chadwick (1974). Thermo-mechanics of rubberlike materials. Philosophical Transactions of the Royal Society London A 276, 371-403.
86. R. M. Christensen (1971). Theory of Viscoelasticity: An Introduction, Academic Press, New York, London.
87. B. D. Coleman (1964). Thermodynamics of materials with memory. Archive for Rational Mechanics and Analysis 17, 1-46.
88. M. J. Crochet and P. M. Naghdi (1969). A class of simple solids with fading memory. International Journal of Engineering Science 7, 1173.
89. W. N. Findley, J. S. Lai, and K. Onaron (1989). Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, New York, NY.
90. Y. C. Fung (1972). Stress-strain history relations of soft tissues in simple elongation. In Biomechanics: Its Foundations and Objectives, eds. Y. C. Fung, N. Perrone, and M. Anliker, Prentice-Hall, Englewood Cliffs, NJ, 181-208.
91. Y. C. Fung (1973). Biorheology of soft tissues. Biorheology 10, 139-155.
92. Y. C. Fung (1993). Biomechanics. Mechanical Properties of Living Tissues, 2nd ed., Springer, New York, NY.
93. J. Hale and H. Koçak (1991). Dynamics and Bifurcations, Springer, New York, NY.
94. H. W. Haslach, Jr. (2005). Nonlinear viscoelastic, thermodynamically consistent, models for biological soft tissue. Biomechanics and Modeling in Mechanobiology 3(3), 172-189.
95. H. W. Haslach, Jr. and N-N. Zeng (1999). Maximum dissipation evolution equations for nonlinear thermoviscoelasticity. International Journal of Non-linear Mechanics 34, 361-385.
96. G. A. Holzapfel (2000). Nonlinear Solid Mechanics, John Wiley and Sons, Chichester, UK.
97. G. A. Holzapfel, C. Gasser, and R. W. Ogden (2000). A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity 61, 1-48.
98. G. A. Holzapfel, T, C. Gasser, andM. Stadler (2002). A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. European Journal of Mechanics A/Solids 21, 441-463.
99. J. D. Humphrey, D. L. Vawter, and R. P. Vito (1987). Pseudoelasticity of excised visceral pleura. Journal of Biomechanics 109, 115-120.
100. J. D. Humphrey, R. K. Strumpf, and F. C. P. Yin (1992). A constitutive theory for biomembranes: Application to epicardal mechanics. Journal of Biomechanical Engineering 114, 461-466.
101. A. G. James, A. Green, and G. M. Simpson (1975). Strain energy functions of rubber. I. Characterization of gum vulcanizates. Journal of Applied Polymer Science 19, 2033-2058.
102. J. P. Joule (1859). Some thermo-dynamic properties of solids. Philosophical Transactions of the Royal Society London A 149, 91-131.
103. L. Kelvin (W. Thomson) (1857). On the thermo-elastic and thermo-magnetic properties of matter. Quarterly Journal of Pure and Applied Mathematics 1, 57.
104. S. K. Kyriacou and J. D. Humphrey (1996). Influence of size, shape and properties on the mechanics of axisymmetric saccular aneurysms. Journal of Biomechanics 29(8), 1015-1022.
105. Y. Lanir (1983). Constitutive equations for fibrous connective tissues. Journal of Biomechanics 16, 1-12.
106. E. H. Lee (1955). Stress analysis in visco-elastic bodies. Quarterly of Applied Mathematics 13, 183-190.
107. J. Lemaitre and J.-L. Chaboche (1990). Mechanics of Solid Materials, Cambridge University Press, Cambridge.
108. F. J. Lockett (1972). Nonlinear Viscoelastic Solids, Academic Press, New York, NY.
109. H. Markovitz (1977). Boltzmann and the beginnings of linear viscoelasticity. Transactions of the Society of Rheology 21, 381-398.
110. K. Miller and K. Chinzei (2002). Mechanical properties of brain tissue in tension. Journal of Biomechanics 35, 483-490.
111. R. W. Ogden (1972). Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Proceedings of the Royal Society London. A 326, 565-584.
112. S.W. Park and Y. Kim (2001). Fitting Prony-series viscoelastic models with power-law presmoothing. Journal of Materials in Civil Engineering 13, 26-32.
113. M. T. Prange and S. S. Margulies (2002). Regional, directional, and age-dependent properties of the brain undergoing large deformation. Journal of Biomechanical Engineering 124, 244-252.
114. K. R. Rajagopal and A. R. Srinivasa (2005). A note on a correspondence principle in nonlinear viscoelastic materials. International Journal of Fracture 131, 147-152.
115. B. J. Rigby (1964). The effect of mechanical extension upon the thermal stability of collagen. Biochimica et Biophysica Acta 79, 634-636.
116. E. Rosa, Jr., A. R. Altenberger, and J. S. Dahler (1992). Model calculations based on a new theory of rubber elasticity. Acta Physica Polonica B 23, 337-356.
117. C. S. Roy (1880-1881). The elastic properties of the arterial wall. Journal of Physiology 3, 125-159.
118. S. Scott, G. G. Ferguson, and M. R. Roach (1972). Comparison of the elastic properties of human intracranial arteries and aneurysms. Canadian Journal of Physiology and Pharmacology 50, 328-332.
119. A. H. Scott (1935). Specific volume, compressibility, and volume thermal expansivity of rubber - sulpher compounds. Journal of Research of the National Bureau of Standards Washington 14, 99-20.
120. A. D. Shah and J. D. Humphrey (1999). Finite strain elastodynamics of intracranial saccular aneurysms. Journal of Biomechanics 32, 593-599.
121. R. A. Schapery (1984). Correspondence principles and generalized J integral for large deformation and fracture analysis of viscoelastic media. International Journal of Fracture 25, 195-223.
122. M. Shen (1969). Internal energy contribution to the elasticity of natural rubber. Macromolecules 2, 358-364.
123. F. Shen, T. E. Tay, J. Z. Li, S. Nigen, P. V. S. Lee, and H. K. Chan (2006). Modified Bilston Nonlinear Viscoelastic model for Finite Element head injury studies. Journal of Biomechanical Engineering 128, 797-801.
124. R. Skalak, A. Rachev, and A. Tozeren (1975). Stress-strain relations for membranes under finite deformations. Bulgarian Academy of Sciences: Biomechanics 2, 24-29.
125. T. T. Tanaka and Y. C. Fung (1974). Elastic and inelastic properties of the canine aorta and their variations along the aortic tree. Journal of Biomechanics, 7, 357-370.
126. P. Tong and Y. C. Fung (1976). The stress-strain relationship for the skin. Journal of Biomechanics 9, 649-657.
127. E. Tanaka and H. Yamada (1990). An inelastic constitutive model of blood vessels. Acta Mechanica 82, 21-30.
128. C. Truesdell (1984). Rational Thermodynamics, Springer, New York, NY.
129. A. Viidik (1968). A rheological model for uncalcified parallel-fibered collogeneous tissue. Journal of Biomechanics 1, 3-11.
130. L. A. Wood (1973). Modulus of natural rubber crosslinked by dicumyl peroxide. II. Comparison with Theory. Rubber Chemistry and Technology 46, 1287-1298.
131. S. L.-Y. Woo, B. R. Simon, S.C. Kuel, and W. H. Akeson (1980). Quasi-linear viscoelastic properties of normal articular cartilage. Journal of Biomechanical Engineering 102, 85-90.
132. B. Wunderlich and H. Baur (1970). Heat capacities of linear high polymers. III. Results of experimental heat capacity measurements. Advances in Polymer Science 7, 260.
133. N. Zeng (1995). A Thermoelastic Constitutive Equation for Rubberlike Materials and a System of Non-equilibrium Evolution Equations, Ph.D. Thesis, University of Maryland, College Park, MD.
134. N-N. Zeng and H. W. Haslach, Jr. (1996). Thermoelastic generalization of isothermal elastic constitutive models for rubberlike materials. Rubber Chemistry and Technology 69 (2), 313-324.
135. J.-L. Chaboche (1991). Thermodynamically based viscoplastic constitutive equations: Theory versus experiment. In High Temperature Constitutive Modeling - Theory and Application, Vol. 121, ASME, pp. 207-226.
136. A. D. Freed and K. P.Walker (1990). Steady-state and transient Zener parameters in viscoplasticity: drag strength versus yield strength. Applied Mechanics Reviews 43, S328-S337.
137. A. D. Freed and K. P. Walker (1993). Viscoplasticity with creep and plasticity bounds. International Journal of Plasticity 9, 213-242.
138. A. D. Freed, J.-L. Chaboche and K. P. Walker (1991). A viscoplastic theory with thermodynamic considerations. Acta Mechanica 90, 155-174.
139. H. W. Haslach, (2002). A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation. International Journal of Plasticity 18(2), 127-153.
140. H. W. Haslach, Jr. and R. W. Armstrong (2004). Deformable Bodies and the Material Behavior, Wiley, New York.
141. J. Kratochvil and O.W. Dillon, Jr. (1969). Thermodynamics of elastic-plastic materials as a theory with internal state variables. Journal of Applied Physics 40, 3207-3218.
142. E. Krempl (1987). Models of viscoplasticity, Some comments on equilibrium (back) stress and drag stress. Acta Mechanica 69, 25-42.
143. E. Kröner (1963). Dislocation: A new concept in the continuum theory of plasticity. Journal of Mathematics and Physics 42, 27-37.
144. J. Lubliner (1972). On the thermodynamic foundations of non-linear solid mechanics. International Journal of Non-linear Mechanics 7, 237-254.
145. J. Lubliner (1973). On the structure of the rate equations of materials with internal variables. Acta Mechanica 17, 109-119.
146. J. Mandel (1973). Thermodynamics and Plasticity. In Foundations of Continuum Thermodynamics, ed. J. J. Delgado Domingos, M. N. R. Nina, J. H. Whitelaw, John Wiley and Sons, New York, pp. 283-311.
147. G. A. Maugin (1992). The Thermodynamics of Plasticity and Fracture, Cambridge University Press, Cambridge.
148. G. A. Maugin, and W. Muschik (1994). Thermodynamics with internal variables Part 1. General concepts. Journal of Non-Equilibrium Thermodynamics 19, 217-249.
149. A. S. Nowick, and E. S. Machlin (1947). Dislocation theory as applied by NACA to the creep of metals. Journal of Applied Physics 18, 79-87.
150. K.-D. Papoulia and J.M. Kelly (1997). Visco-hyperelastic model for filled rubbers used in vibration isolation. Journal of Engineering Materials and Technology 119, 292-297.
151. P. Perzyna (1963). The constitutive equations for rate sensitive plastic materials. Quarterly of Applied Mathematics 20, 321-332.
152. P. Perzyna (1966). Fundamental problems in viscoplasticity. In Advances in Applied Mechanics, Vol. 9, ed. C.-S. Yih, Academic Press, New York, pp. 243-377.
153. P. Perzyna (1971). Thermodynamic theory of viscoplasticity. Advances in Applied Mechanics, Vol. 11, ed. C.-S. Yih, Academic Press, New York, pp. 313-354.
154. A. R. S. Ponter and F. A. Leckie (1976). Constitutive relationships for the time-dependent deformation of metals. Journal of Engineering Materials and Technology 98, 47-51.
155. J. R. Rice (1970). On the structure of stress-strain relations for time-dependent plastic deformation in metals. Journal of Applied Mechanics 37, 728-737.
156. J. R. Rice (1971). Inelastic constitutive relations for solids: An internal variable theory and its application to metal plasticity. Journal of the Mechanics and Physics of Solids 19, 433-455.
157. J. C. Simo and T. Honein (1990). Variational formulation, discrete conservation laws, and pathdomain independent integrals for elasto- viscoplasticity. Journal of Applied Mechanics 57, 488-497.
158. J. C. Simo and T. J. R. Hughes (1998). Computational Inelasticity. Springer-Verlag, New York.
159. K. C. Valanis (1971). A theory of viscoplasticity without a yield surface. Parts I and II. Archives of Mechanics 2-3, 517-535.
160. D. Yao and E. Krempl (1985). Viscoplasticity theory based on overstress. The prediction of monotonic and cyclic proportional and non-proportional loading paths of an aluminium alloy. International Journal of Plasticity 1, 259-274.
161. C. Zener and J. H. Holloman (1944). Effect of strain rate on plastic flow of steel. Journal of Applied Physics 15, 22-32.
162. B. B. Aaron and J. M. Gosline (1981). Elastin as a random-network elastomer: A mechanical and optical analysis of single elastin fibers. Biopolymers 20, 1247-1260.
163. B. B. Aaron and J. M. Gosline (1980). Optical properties of single elastin fibres indicate random protein conformation. Nature 287, 865-867.
164. N. O. Birge and S. R. Nagel (1985). Specific-heat spectroscopy of the glass transition. Physical Review Letters 54, 2674-2677.
165. M. Born (1939). Thermodynamics of crystals and melting. Journal of Chemical Physics 7, 591-603.
166. P. Brown-Augsburger, C. Tisdale, T. Broekelmann, C. Sloan, and R. P. Mecham (1995). Identification of an elastin cross-linking domain that joins three peptide chains. Journal of Biological Chemistry 270, 17778-17783.
167. J. M. Clark and S. Glagov (1985). Transmural organization of the arterial media. Arteriosclerosis 5, 19-34.
168. E. C. Davis (1993). Smooth muscle cell to elastic lamella connections in developing mouse aorta. Role in aortic media organization. Laboratory Investigation 68, 89-99.
169. L. Debelle and A. J. P. Alix (1999). The structures of elastins and their function. Biochimie 81, 981-994.
170. K. L. Dorrington and N. G. McCrum (1977). Elastin as a rubber. Biopolymers 16, 1201-1222.
171. J. D. Ferry (1961). Viscoelastic Properties of Polymers. Wiley, New York.
172. Y. C. Fung (1993). Biomechanics. Mechanical Properties of Living Tissues, 2nd Ed., Springer- Verlag, New York.
173. J. M. Gosline (1978). Hydrophobic interaction and amodel for the elasticity of elastin. Biopolymers 17. 677-695.
174. J. M. Gosline and C. J. French (1979). Dynamic mechanical properties of elastin. Biopolymers 18, 2091-2103.
175. L. Gotte, M. Mammi and G. Pezzin (1968). Some Structural Aspects of Elastin Revealed by X-ray Diffraction and Other Physical Methods. In Symposium on Fibrous Proteins, Australia 1967, ed. W.G. Crewther, Butterworth and Co. Ltd., London.
176. B. S. Gow and M. G. Taylor (1968).Measurement of viscoelastic properties of arteries in the living dog. Circulation Research 23, 111-122.
177. W. R. Gray, L. B. Sandberg and J. A. Foster (1973). Molecular model for elastin structure and function. Nature 246, 461-466.
178. W. Grut and N. G. McCrum (1974). Liquid drop model of elastin. Nature 251, 165.
179. C. A. J. Hoeve and P. J. Flory (1958). The elastic properties of elastin. Journal of the American Chemical Society 80, 6523-6526.
180. C. A. J. Hoeve and P. J. Flory (1974). The elastic properties of elastin. Biopolymers 13, 677-686.
181. J. C. Iatrides, J. P. Laible, and M. H. Krag (2003). Influence of fixed charge density magnitude and distribution on the intervertebral disc: Application of a poroelastic and chemical electric (PEACE) model. Journal of Biomechanical Engineering 125, 12-24.
182. S. R. Kakivaya and C. A. J. Hoeve (1975). The glass point of elastin. Proceedings National Academy of Science 72, 3505-3507.
183. B. Li and V. Daggett (2002). Molecular basis for the extension of elastin. Journal of Muscle Research and Cell Motility 23, 561-573.
184. M. A. Lillie and J. M. Gosline (1990). The effects of hydration on the dynamic mechanical properties of elastin. Biopolymers 29, 1147-1160.
185. M. A. Lillie and J. M. Gosline (1993). The effects of polar solutes on the viscoelastic behavior of elastin. Biorheology 30, 229-242.
186. M. A. Lillie and J. M. Gosline (2002). The viscoelastic basis for the tensile strength of elastin. International Journal of Biological Macromolecules 30, 119-127.
187. M. A. Lillie and J.M. Gosline (2007). Limits to the durability of arterial elastic tissue. Biomaterials 28, 2021-2031.
188. M. A. Lillie, G. W. G. Chalmers, and J. M. Gosline (1996). Elastin dehydration through the liquid and the vapor phase: A comparison of osmotic stress models. Biopolymers 39, 627-639.
189. M. A. Lillie, G. L. David, and J. M. Gosline (1998). Mechanical role of elastin-asociated microfibrils in pig aortic elastic tissue. Connective Tissue Research 37, 121-141.
190. L. E. Malvern (1969). Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ.
191. T. Oden, Belytschko, Babuska and Hughes (2003). Research directions in computational mechanics Computer Methods in Applied Mechanics and Engineering 192, 913-922.
192. D. Paschek (2009). How does solute-polarization affect the hydrophobic hydration of methane. Zeitschrift für Physikalische Chemie 223, 1091-1104. DOI 10.1524.zpch.2009.6060.
193. T. J. Pence and H. Tsai (2006). Swelling-induced cavitation of elastic spheres. Mathematics and Mechanics of Solids 11, 527-551.
194. D. Porter (1995). Group Interaction Modelling of Polymer Properties. Marcel Dekker, Inc., New York.
195. D. Porter, F. Vollrath and Z. Shao (2005). Predicting the mechanical properties of spider silk as a model nanostructured polymer. European Physical Journal E 16, 199-206.
196. D. Porter and F. Vollrath (2008). The role of kinetics of water and amide bonding in protein stability. Soft Matter 4, 328-336.
197. E. W. Raines (2000). The extracellular matrix can regulate vascular cell migration, proliferation, and survival: relationships to vascular disease. International Journal of Experimental Pathology 81, 173-182.
198. E. L. Ritman and A. Lerman (2007). Review: The dynamic vasa vasorum. Cardiovascular Research 75, 649-658.
199. M. H. Sherebin, S. H. Song, and M. R. Roach (1983). Mechanical anisotropy of purified elastin from the thoractic aorta of dog and sheep. Canadian Journal of Physiology and Pharmacology 61, 539-545.
200. B. R. Simon (1992). Multiphase poroelastic finite element models for soft tissue structures. Applied Mechanics Reviews 45, 191-218.
201. B. R. Simon, M. V. Kaufmann, M. A. McAfee, and A. L. Baldwin (1996). Porohyperelastic theory and finite element models for soft tissue with application to arterial mechanics. In Mechanics of Poroelastic Media, Ed. A.P.S. Selvadurai, Kluwer Academic Publishers. pp. 245-261.
202. B. R. Simon, M. V. Kaufman, J. Liu, and A. L. Baldwin (1998). Porohyperelastic-transportswelling theory, material properties and finite element models for large arteries. International Journal of Solids and Structures 35, 5021-5031.
203. L. R. G. Treloar (1972). The Physics of Rubber Elasticity, 3rd Ed, Clarendon, Oxford.
204. D. W. Urry (1983). What is elastin; what is not. Ultrastructural Pathology 4, 227-251.
205. Z. R.Wasserman and F. R. Salemme (1990). A molecular dynamics investigation of the elastomeric restoring force in elastin. Biopolmers 29, 1613-1631.
206. P. D.Weinberg, C. P.Winlove, and K. H. Parker (1995). The distribution of water in arterial elastin: Effects of mechanical stress, osmotic pressure, and temperature. Biopolymers 35, 161-169.
207. T. Weiss-Fogh and S. O. Anderson (1970). New model for the long-range elasticity of elastin. Nature 227, 718-721.
208. C. P. Winlove, and K. H. Parker (1987). The influence of the elastin lamellae on mass transport in the arterial wall. In Advances in Microcirculation, Interstitial Lymphatic Liquid and Solute Movement, eds., N. C. Staub, J. C. Hogg, A. R. Hargans, Karger, Basle, vol. 13, 74-81.
209. E. Wöhlisch (1939). Statistisch-kinetisch theorie, thermodynamik und biologische bedeutung der kautschukartigen elastizität. Kolloid-Zeitschrift 89, 239-270.
210. X. Wu, R. E. Sallach, J. M. Caves, V. P. Conticello and E. L. Chaikof (2008). Deformation responses of a physically cross-linked high molecular weight elastin-like protein polymer. Biomacromolecules 9, 1787-1794.
211. Y. Zou and Y. Zhang (2009). An experimental and theoretical study on the anisotropy of elastin network. Annals of Biomedical Engineering 37, 1572-1573.
212. M. A. Zulliger, P. Fridez, K. Hayashi, and N. Stergiopulos (2004). A strain energy function for arteries accounting for wall composition and structure. Journal of Biomechanics 37, 989-1000.
213. V. I. Arnold (1989). Mathematical Methods of Classical Mechanics, Springer- Verlag, New York.
214. V. I. Arnold (1990). Contact Geometry: The geometrical method of Gibbs's thermodynamics. In Proceedings of the Gibbs Symposium, ed. D. G. Caldi and G. D. Mostow, American Mathematical Society, American Institute of Physics, pp. 163-180.
215. W. L. Burke (1985). Applied Differential Geometry, Cambridge University Press, Cambridge.
216. L. Conlon (1993). Differentiable Manifolds, Birkhäuser, Boston.
217. J. W. Gibbs (1873). A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. Transactions of the Connecticut Academy II, 382-404. Also in The Collected Works, Vol. 1, Yale
218. H.W. Haslach, Jr. (1997). Geometrical structure of the non-equilibrium thermodynamics of homogeneous systems. Reports on Mathematical Physics 39, 147-162.
219. R. Hermann (1973). Geometry, Physics, and Systems, Marcel Dekker, New York.
220. G. A. Holzapfel (2000). Nonlinear Solid Mechanics, 2005 reprinting. Wiley, Chichester.
221. P. Libermann and C-M. Marle (1987). Symplectic Geometry and Analytical Mechanics, D. Reidel Pub. Co., Dordrecht.
222. S. MacLane (1963). Homology. Springer-Verlag, Berlin.
223. L. E. Malvern (1969). Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ.
224. J. E. Marsden and T. J. R. Hughes (1994). Mathematical Foundations of Elasticity, Dover, New York.
225. R. Mrugala, J. D. Nulton, J. C. Schon, and P. Salaman (1991). Contact structure in thermodynamic theory, Reports on Mathematical Physics 29, 109-121.
226. J.C. Simo and K. S. Phister (1984). Remarks on rate constitutive equations for finite deformation problems: computational implications. Computer Methods in Applied Mechanics and Engineering 46, 201-215.
227. E. N. Yeremin (1981). Fundamentals of Chemical Thermodynamics, Mir Publishers, Moscow.
228. H. Alexander (1968). A constitutive relation for rubberlike materials. International Journal of Engineering Science 6, 549-562.
229. H. Alexander (1971). Tensile instability of initially spherical balloons. International Journal of Engineering Science 9, 151-162.
230. E. Arruda and M. Boyce (1993). A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Journal of the Mechanics and Physics of Solids 41, 389-412.
231. M. Baker and J. L. Ericksen (1954). Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids. Journal of the Washington Academy of Sciences 44, 33-35.
232. M. F. Beatty (1987). Topics in finite elasticity: Hyperelasticity of rubber, elastomers, and biological tissues - with examples. Applied Mechanics Reviews 40, 1699-1734.
233. J. M. Ball and D. G. Schaeffer (1983). Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Mathematical Proceedings of the Cambridge Philosophical Society 94, 315-339.
234. D. P. L. Castrigiano and S. A. Hayes (1993). Catastrophe Theory, Addison-Wesley, Reading MA.
235. J. L. Ericksen (1991). Introduction to the Thermodynamics of Solids, Chapman and Hall, London.
236. A. N. Gent and A. G. Thomas (1958). Forms for the stored (strain) energy function for vulcanized rubber. Journal of Polymer Science 28, 625-628.
237. R. Gilmore (1981). Catastrophe Theory for Scientists and Engineers, Wiley, New York.
238. J. Guckenheimer (1973). Bifurcation and catastrophe. In Dynamic Systems, ed. M. M. Peixoto, Academic Press, New York, 95-109.
239. J. Hale and H. Koçak (1991). Dynamics and Bifurcations, Springer, New York.
240. L. J. Hart-Smith (1966). Elasticity parameters for finite deformations of rubber-like materials. Zeitschrift f?ur Angewandte Mathematik und Physik 17, 608-625.
241. L. J. Hart-Smith and J. D. C. Crisp (1967). Large elastic deformations of thin rubber membranes. International Journal of Engineering Science 5, 1-24.
242. H. W. Haslach, Jr. (1986). Post-buckling stability of orthotropic, linear elastic, rectangular plates under biaxial loads. International Journal of Mechanical Sciences 28, 739-756.
243. H. W. Haslach, Jr. (1999), Dynamical effects of degenerate singularities in the potential for mechanical systems. In Nonlinear Techniques, Structural Dynamics Systems, Computational Techniques, and Optimization, ed. C. T. Leondes, Vol. 15, International Series in Engineering, Technology and Applied Science, Gordon and Breach Science Publishers, NY, 273-330.
244. H. W. Haslach, Jr. (2000). Constitutive models and singularity types for an elastic biaxially loaded rubber sheet. Mathematics and Mechanics of Solids 5, 41-73.
245. D. F. Jones and L. R. G. Treloar (1975). The properties of rubber in pure homogeneous strain. Journal of Physics D: Applied Physics 8, 1285-1304.
246. E. A. Kearsley (1986). Asymmetric stretching of a symmetrically loaded elastic sheet. International Journal of Solids and Structures 22, 111-119.
247. D. A. Lavis and G. M. Bell (1977). Thermodynamic phase changes and catastrophe theory. Bulletin of the Institute of Mathematics and its Application 13, 34-42.
248. R. W. Ogden (1972). Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Proceedings of the Royal Society of London A, 326, 565-584.
249. R.W. Ogden (1985). Local and global bifurcation phenomena in plain-strain finite elasticity. International Journal of Solids and Structures 21, 121-132.
250. R.W. Ogden (1986). Recent advances in the phenomenological theory of rubber elasticity. Rubber Chemistry and Technology 59, 361-383.
251. R. W. Ogden (1987). On the stability of asymmetric deformations of a symmetrically-tensioned elastic sheet. International Journal of Engineering Science 25, 1305-1314.
252. T. Poston and I. Stewart (1978). Catastrophe Theory and its Applications, Pitman, London.
253. R. S. Rivlin (1974). Stability of pure homogeneous deformations of an elastic cube under dead loading. Quarterly of Applied Math 32, 265-271.
254. R. S. Rivlin and D. W. Saunders (1951). Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber. Philosophical Transactions of the Royal Society of London A 243, 251-285.
255. W. J. Supple (1967). Coupled branching configurations in the elastic buckling of symmetric structural systems International Journal of Mechanical Science 9, 97-112.
256. R. Thom (1975), Structural Stability and Morphogenesis, W. A. Benjamin, Inc., Reading, MA.
257. J. M. T. Thompson and G. W. Hunt (1973). A General Theory of Elastic Stability, Wiley, London.
258. L. R. G. Treloar (1948). Stresses and birefringence in rubber subjected to general homogeneous strain. Proceedings Physics Society 60, 135-144.
259. L. R. G. Treloar (1949). The Physics of Rubber Elasticity, 1st ed., Clarendon Press, Oxford, UK.
260. L. R. G. Treloar (1975). The Physics of Rubber Elasticity, 3rd ed., Clarendon Press, Oxford, UK.
261. K. C. Valanis and R. F. Landel (1967). The strain-energy function of a hyperelastic material in terms of the extension ratios. Journal of Applied Physics 38, 2997-3002.
262. D. B. Bogy and P. M. Naghdi (1970). On heat conduction and wave propagation in rigid solids. Journal of Mathematical Physics 11, 917-923.
263. R. M. Bowen (1989). Introduction to Continuum Mechanics for Engineers, Plenum Press, New York, NY.
264. R. W. R. Darling (1994). Differential Forms and Connections, Cambridge University Press, Cambridge.
265. M. Fabrizio and A. Morro (2003). Electromagnetism of Continuous Media, Oxford University Press, Oxford, UK.
266. Y. C. Fung (1990). Biomechanics: Motion, Flow, Stress, and Growth, Springer, New York, NY.
267. A. E. Green and P. M. Naghdi (1977). On thermodynamics and the nature of the second law. Proceedings of the Royal Society of London, Series A 357, 253-270.
268. S. R. de Groot and P. Mazur (1984). Non-equilibrium Thermodynamics, Dover, New York, NY.
269. H.W. Haslach, Jr. (1997). Geometrical structure of the non-equilibrium thermodynamics of homogeneous systems. Reports on Mathematical Physics 39, 147-162.
270. H. W. Haslach, Jr. (2009). Thermodynamically consistent, maximum dissipation, time-dependent models for non-equilibrium behavior. International Journal of Solids and Structures 46, 3964- 3976. DOI: 10.1016/j.ijsolstr.2009. 07.017.
271. H. W. Haslach, Jr. and N-N. Zeng (1999). Maximum dissipation evolution equations for nonlinear thermoviscoelasticity. International Journal of Non-linear Mechanics 34(2), 361-385.
272. G. A. Holzapfel (2000). Nonlinear Solid Mechanics, 2005 reprinting. Wiley, Chichester, UK.
273. I. Müller (1967). On the entropy inequality. Archive for Rational Mechanics and Analysis 26, 118-141.
274. I. Müller and T. Ruggeri (1998). Rational Extended Thermodynamics, 2nd, ed. Springer, New York, NY.
275. C. W. Ulbrich (1961). Exact electrical analogy to the Vernotte hypothesis. Physical Review 123, 2001-2002.
276. B. Di Bartolo (1991). Classical Theory of Electromagnetism. Prentice-Hall, Englewood Cliffs, NJ.
277. G. W. Carter (1968). The Electromagnetic Field in its Engineering Aspects, American Elsevier, New York, NY.
278. B. D. Coleman (1964), Thermodynamics of materials with memory. Archive for Rational Mechanics and Analysis 17, 1-46.
279. B. D. Coleman and E. H. Dill (1971a). Thermodynamic restrictions on the constitutive equations of electromagnetic theory. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 22, 691-702.
280. B. D. Coleman and E. H. Dill (1971b). On the thermodynamics of electromagnetic fields in materials with memory. Archive for Rational Mechanics and Analysis 41, 132-162.
281. D. R. Corson and P. Lorrain (1962). Introduction to Electromagnetic Fields and Waves, W. H. Freeman and Co., San Francisco, CA.
282. M. Fabrizio and A. Morro (2000). Dissipativity and irreversibility of electromagnetic systems. Mathematical Models and Methods in Applied Sciences 10(2), 217-246.
283. M. Fabrizio and A. Morro (2003). Electromagnetism of Continuous Media. Oxford University Press, Oxford, UK.
284. A. E. Green and P.M. Naghdi (1984). Aspects of the second law of thermodynamics in the presence of electromagnetic effects. The Quarterly Journal of Mechanics and Applied Mathematics 37, 179-193.
285. S. R. de Groot and P. Mazur (1984). Non-equilibrium Thermodynamics, Dover, New York, NY.
286. J. P. Joule (1841). On the heat evolved by metallic conductors of electricity, and in the cells of a battery during electrolysis. Philosophical Magazine 19, 260, Also in J. P. Joule (1963). The Scientific Papers of James Prescott Joule, Dawsons of Pall Mall, London.
287. C. Misner, K. Thorne, and J. Wheeler (1973). Gravitation, W. H. Freeman, San Francisco, CA.
288. E. M. Purcell (1985). Electricity and Magnetism, 2nd ed., McGraw-Hill, New York, NY.
289. W. Thomson (1851). On a mechanical theory of thermoelectric currents, Proceedings of the Royal Society of Edinburgh 3, 91-98.
290. W. Thomson (1854). Proceedings of the Royal Society of Edinburgh 3, 225. Transactions of the Royal Society of Edinburgh 21 Part I.
291. A. Berezovski and G. A. Maugin (2007). On the propagation velocity of a straight brittle crack. International Journal of Fracture 143, 135-142.
292. H. D. Bui, A. Ehrlacher, and Q. S. Nguyen (1980). Propagation de fissure en thermoélasticité dynamique. Journal de Mécanique 19, 697-723.
293. R. Christensen and Y. Miyano (2007). Deterministic and probabilistic lifetimes from kinetic crack growth - generalized forms. International Journal of Fracture 143, 35-39.
294. J.W. Dally, W. L. Fourney, and G. R. Irwin (1985). On the uniqueness of the stress intensity factor - crack velocity relationship. International Journal of Fracture 27, 159-165.
295. W. Döll (1976). Application of an energy balance and an energy method to dynamic crack propagation. International Journal of Fracture 12(4), 595-605.
296. W. Döll (1984). Kinetics of crack tip craze zone before and during fracture. Polymer Engineering and Science 24(10), 798-808.
297. W. Döll, L. Könczöl, and M. G. Schinker (1981). Zur zeit- und temperaturabhängigen Vertreckung von Polymermaterial vor Rißspitzen bei langzeiter statischer Belastung. Colloid and Polymer Science 259, 171-181.
298. L. B. Freund (1990). Dynamic Fracture Mechanics. Cambridge University Press, Cambridge.
299. A. Berezovski and G. A. Maugin (2007). On the propagation velocity of a straight brittle crack. International Journal of Fracture 143, 135-142.
300. H. D. Bui, A. Ehrlacher, and Q. S. Nguyen (1980). Propagation de fissure en thermoélasticité dynamique. Journal de Mécanique 19, 697-723.
301. R. Christensen and Y. Miyano (2007). Deterministic and probabilistic lifetimes from kinetic crack growth - generalized forms. International Journal of Fracture 143, 35-39.
302. J.W. Dally, W. L. Fourney, and G. R. Irwin (1985). On the uniqueness of the stress intensity factor - crack velocity relationship. International Journal of Fracture 27, 159-165.
303. W. Döll (1976). Application of an energy balance and an energy method to dynamic crack propagation. International Journal of Fracture 12(4), 595-605.
304. W. Döll (1984). Kinetics of crack tip craze zone before and during fracture. Polymer Engineering and Science 24(10), 798-808.
305. W. Döll, L. Könczöl, and M. G. Schinker (1981). Zur zeit- und temperaturabhängigen Vertreckung von Polymermaterial vor Rißspitzen bei langzeiter statischer Belastung. Colloid and Polymer Science 259, 171-181.
306. L. B. Freund (1990). Dynamic Fracture Mechanics. Cambridge University Press, Cambridge.
307. H. R. Brown and J. Uffink (2001). The origins of time-asymmetry in thermodynamics: The minus first law. Studies in History and Philosophy of Modern Physics 32(4), 525-538.
308. S. S. Chern (1992). On Finsler geometry, Les Comptes Rendus de l'Académie des Sciences Paris 314, 757-761.
309. S. S. Chern (1996a). Finsler geometry is just Riemannian geometry, Notices of the AMS 43(9), 959-963.
310. S. S. Chern (1996b), Riemannian geometry as a special case of Finsler geometry. In Finsler Geometry, eds. D. Bao, S. S. Chern, and Z. Shen, Contempory Math., Vol. 196, American Mathematical Society, Providence, RI.
311. Y. Demirel and S. I. Sandler (2004). Nonequilibrium thermodynamics in engineering and science. Journal of Physical Chemistry B 108, 31-43.
312. J. L. Ericksen (1991). Introduction to the Thermodynamics of Solids, Chapman & Hall, London.
313. L. S. Garcìa-Colìn and F. J. Uribe (1991). Extended irreversible thermodynamics, beyond the linear regime: A critical overview. Journal of Non-Equilibrium Thermodynamics 16, 89-128.
314. J. W. Gibbs (1873). A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. Transactions of the Connecticut Academy II, 382-404.
315. The Collected Works, Vol. 1, Yale University Press, New Haven, CT 1948, 33-54.
316. L. K. Nash (1970). Elements of Classical and Statistical Thermodynamics, Addison-Wesley, Reading, MA.
317. H. Price (1996). Time's Arrow and Archimedes' Point, Oxford Universty Press, New York, NY.
318. I Prigogine (1997). The End of Certainty, The Free Press, New York, NY.
319. L. Tisza (1966). Generalized Thermodynamics, MIT Press, Cambridge MA.
320. C. Truesdell (1984). Rational Thermodynamics, 2nd ed., Springer, New York, NY.
321. F. Weinhold (1975-1976), Metric geometry of equilibrium thermodynamics, Journal of Chemical Physics 63, 2479-2501 and 65, 559-564.