Normality structures with thermodynamic equilibrium points

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 5, 2007, Pages 965-971

  Yang, Q ^a   Wang, R K ^a   Xue, L J ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Convexity; Equilibrium point; Irreversible thermodynamics; Normality; Onsager fluxes

Indexed keywords

ENERGY DISSIPATION; FORCE MEASUREMENT; PHASE EQUILIBRIA; SURFACE PROPERTIES; THERMODYNAMICS;

CONVEXITY; EQUILIBRIUM POINTS; FLOW POTENTIALS; IRREVERSIBLE THERMODYNAMICS; ONSAGER FLUXES;

MOLECULAR STRUCTURE;

EID: 35348851353     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2722772     Document Type: Article

References (20)

1. Onsager, L., 1931, "Reciprocal Relations in Irreversible Processes-I," Phys. Rev., 37, pp. 405-406.
2. Onsager, L., 1931, "Reciprocal Relations in Irreversible Processes-II," Phys. Rev., 38, pp. 2265-2279.
3. De Groot, S. R., and Mazur, P., 1962, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam.
4. Rice, J. R., 1971, "Inelastic Constitutive Relations for Solids: An Integral Variable Theory and its Application to Metal Plasticity," J. Mech. Phys. Solids, 19, pp. 433-455.
5. Rice, J. R., 1975, "Continuum Mechanics and Thermodynamics of Plasticity in Relation to Microscale Deformation Mechanisms," Constitutive Equations in Plasticity, Argon, A. S, ed., MIT Press, Cambridge, MA, pp. 23-79.
6. Ziegler, H., 1977, An Introduction to Thermomechanics, North-Holland, Am-sterdam.
7. Edelen, D. G. B., 1972, "A Nonlinear Onsager Theory of Irreversibility," Int. J. Eng. Sci., 10, pp. 481-490.
8. Yang, Q., Tham, L. G., and Swoboda, G., 2005, "Normality Structures With Homogeneous Kinetic Rate Laws," ASME J. Appl. Mech., 72, pp. 322-329.
9. Edelen, D. G. B., 1973, "Asymptotic Stability, Onsager Fluxes and Reaction Kinetics," Int. J. Eng. Sci., 11, pp. 819-839.
10. Collins, I. F., and Kelly, P. A., 2002, "A Thermomechanical Analysis of a Family of Soil Models," Géotechnique, 52, pp. 507-518.
11. Collins, I. F., 2005, "Elastic/plastic Models for Soils and Sands," Int. J. Mech. Sci., 47, pp. 493-508.
12. Houlsby, G. T., and Puzrin, A. M., 2000, "A Thermomechanical Framework for Constitutive Models for Rate-Independent Dissipative Materials," Int. J. Plast., 16, pp. 1017-1047.
13. Rajagopal, K. R., and Srinivasa, A. R., 2004, "On Thermomechanical Restric-tions of Continua," Proc. R. Soc. London, Ser. A, 460, pp. 631-651.
14. Yang, Q., Chen, X., and Zhou, W. Y., 2005, "Thermodynamic RelationshipBetween Creep Crack Growth and Creep Deformation," J. Non-Equil. Thermodyn., 30, pp. 81-94.
15. Brown, L. M., 1997, "Transition From Laminar to Rotational Motion in Plasticity," Philos. Trans. R. Soc. London, Ser. A, 355, pp. 1979-1990.
16. Yang, Q., Chen, X., and Zhou, W. Y., 2006, "Multiscale Thermodynamic Significance of the Scale Invariance Approach in Continuum Inelasticity," ASME J. Eng. Mater. Technol., 128, pp. 125-132.
17. Maugin, G. A., 1999, The Thermodynamics of Nonlinear Irreversible Behaviors, World Scientific, Singapore.
18. Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
19. Lubliner, H., 1990, Plasticity Theory, Macmillan, New York.
20. Drucker, D. C., 1959, "A Definition of Stable Inelastic Material," ASME J. Appl. Mech., 26, pp. 101-106.