Topical problems and applications of creep theory

International Applied Mechanics

Volumn 39, Issue 6, 2003, Pages 631-655

  Altenbach, H ^a  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Analysis of achievements; Constitutive equations; Creep theory; Damage; Review

Indexed keywords

ELASTICITY; LOADS (FORCES); MACHINE COMPONENTS; MECHANICS; MICROSTRUCTURE; PIPE; PLATES (STRUCTURAL COMPONENTS); PRESSURE VESSELS; PROBLEM SOLVING; SHELLS (STRUCTURES); STRESSES; STRUCTURAL ANALYSIS; THERMAL EFFECTS;

CONSTITUTIVE EQUATIONS; CREEP THEORY;

CREEP;

EID: 0346009380     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025737707488     Document Type: Review

References (141)

1. H. I. Altenbach and A. A. Zolochevskii, "The energy theory of creep and durability of anisotropic and isotropic materials with strength differential effect," Zh. Prikl. Mekh. Tekhn. Fiz., No. 1, 114-120 (1992).
2. I. A. Birger, "On one criterion of fracture and plasticity," Izv. AN SSSR, Mekh. Tverd. Tela, No. 4, 143-150 (1977).
3. V. N. Borsenko, N. N. Peschanitskaya, A. B. Sinani, and B. A. Stepanov, "Creep of linear undirected polymers under tension, compression, and torsion," Mekh. Polim., No. 1, 24-28 (1970).
4. A. Ya. Gol'dman, Volumetric Deformation of Plastics [in Russian], Mashinostroenie, Leningrad (1984).
5. B. V. Gorev, V. V. Rubanov, and O. V. Sosnin, "Deriving the creep equations for materials with properties different under tension and compression," Probl. Prochn., No. 4, 121-128 (1979).
6. L. M. Kochanov, "On time to fracture under creep," Izv. AN SSSR, Otd. Tekhn. Nauk, No. 8, 26-31 (1958).
7. V. I. Kondaurov, Sh. A. Mukhamediev, L. V. Nikitin, and E. I. Ryzhak, Rock Fracture Mechanics [in Russian], AN SSSR, Inst. Fiz. Zemli, Moscow (1987).
8. V. N. Konkin and O. K. Morachkovskii, "Creep and durability of light alloys with anisotropic properties," Probl. Prochn., No. 5, 38-42 (1987).
9. N. N. Malinin, Creep Analysis of Structural Elements [in Russian], Nauka, Moscow (1981).
10. A. P. Filin, Applied Solid Mechanics [in Russian], Vols. 1-3, Nauka, Moscow (1975).
11. O. E. Ol'khovik and V. G. Berentsev, "Experimental study into the volumetric compliance of polymers under shear," Vysokomolek. Soedin., 26(A), No. 4, 822-828 (1984).
12. V. A. Pal'mov, Vibrations of Elastoplastic Bodies [in Russian], Nauka, Moscow (1976).
13. G. S. Pisarenko and A. A. Lebedev, Deformation and Strength of Materials in a Complex Stress State [in Russian], Naukova Dumka, Kiev (1976).
14. B. Paul, "Macroscopic criteria of plastic flow and brittle fracture," in: H. Liebowitz (ed.), Fracture. An Advanced Treatise, Vol. 2, Mathematical Fundamentals, Acad. Press, New York (1975).
15. Yu. N. Rabotnov, Creep of Structural Elements [in Russian], Nauka, Moscow (1966).
16. Yu. N. Rabotnov, Solid Mechanics [in Russian], Nauka, Moscow (1979).
17. M. Reiner, Deformation, Strain and Flow: An Elementary Introduction to Rheology, Intersci. Publ., New York (1960).
18. V. P. Sdobyrev, "A durability criterion for heat resisting alloys under complex stress," Izv. AN SSSR, Otd. Tekhn. Nauk, Mekh. Mashinostr., No. 6, 93-99 (1959).
19. O. V. Sosnin, "The energy theory of creep and durability. Creep and fracture of hardenable materials," Probl. Prochn., No. 5, 45-9 (1974).
20. O. V. Sosnin, B. V. Gorev, and A. F. Nikitenko, The Energy Version of Creep Theory [in Russian], Inst. Gidromekh., Novosibirsk (1986).
21. I. I. Tarasenko, "Brittle strength criteria for metals," Sb. Nauchn. Trudov Leningr. Inzh.-Stroit. Inst., No. 26, 161-168 (1957).
22. I. I. Trunin, "Criteria of creep strength under complex stress," Prikl. Mekh., 1, No. 7, 77-83 (1965).
23. H. Altenbach, "Classical and nonclassical creep models," in: H. Altenbach and J. Skrzypek (eds.), Creep and Damage in Materials and Structures: CISM Courses and Lecture Notes, No. 399, Springer, Wien-New York (1999), pp. 45-95.
24. H. Altenbach, "Creep-damage behavior of plates and shells," Mech. Time-Dependent Materials, 3, 102-123 (1999).
25. H. Altenbach, "Consideration of stress state influences in the material modeling of creep and damage," in: S. Murakami and N. Ohno (eds.), IUTAM Symp. on Creep in Structures, Kluwer, Dordrecht (2001), pp. 141-150.
26. H. Altenbach, "On the determination of transverse shear stiffnesses of orthotropic plates," ZAMP, 51, 629-649 (2000).
27. H. Altenbach, "A generalized limit criterion with application to strength, yielding, and damage of Isotropic materials," in: J. Lemaitre (ed.), Handbook of Materials Behavior Models, Acad. Press, San Diego (2001), pp. 175-186.
28. H. Altenbach, "Creep analysis of thin-walled structures," ZAMM, 82, No. 8, 507-533 (2002).
29. H. Altenbach, J. Altenbach, and K. Naumenko, "On the prediction of creep damage by bending of thin-walled structures," Mech. Time-Dependent Materials, 1, 181-193 (1997).
30. H. Altenbach, J. Altenbach, and A. Zolochevsky, Erweiterte Deformationsmodelle und Versagenskriterien der Werkstqffinechanik, Deutscher Verlag für Grundstoffindustrie, Stuttgart (1995).
31. H. Altenbach and H. Blumenauer, "Grundlagen und Anwendungen der Schädigungsmechanik," Neue Hütte, 34, No. 6, 214-219 (1989).
32. H. Altenbach, M. Dankert, and A. Zolochevskij, "Anisotrope mathematisch-mechanische Modelle für Werkstoffe mit Belastung abhängigen Eigenschaften," Technische Mechanik, 11, No. 1, 5-13 (1990).
33. H. Altenbach, C.-X. Huang, and K. Naumenko, "Modeling of creep-damage under the reversed stress stages by considering damage activation and deactivation," Technische Mechanik, 24, No. 4, 273-282 (2001).
34. H. Altenbach, C.-X. Huang, and K. Naumenko, "Creep-damage prediction in thin-walled structures by use of isotropic and anisotropic damage models," J. Strain Analysis, 37, No. 3, 265-275 (2002).
35. H. Altenbach, G. Kolarov, O. K. Morachkovsky, and K. Naumenko, "On the accuracy of creep-damage predictions in thin-walled structures using the finite element method," Comput. Mech., 25, 87-98 (2000).
36. H. Altenbach, V. Kushnevsky, and K. Naumenko, "On the use of solid- and shell-type finite elements in creep-damage predictions of thin-walled structures," Arch. Appl. Mech., 71, 164-181 (2001).
37. H. Altenbach, O. Morachkovsky, K. Naumenko, and A. Sychov, "Geometrically nonlinear bending of thin-walled shells and plates under creep-damage conditions," Arch. Appl. Mech., 67, 339-352 (1997).
38. H. Altenbach and K. Naumenko, "Shear correction factors in creep-damage analysis of beams, plates and shells," JSME Int. J., Ser. A, 45, No. 45, 77-83 (2002).
39. H. Altenbach, P. Schiefie, and A. A. Zolochevsky, "Zum Kriechen isotroper Werkstoffe mit komplizierten Eigenschaften," Rheol. Acta., 388-399.
40. H. Altenbach and J. Skrzypek (eds.), Creep and Damage in Materials and Structures, CISM Courses and Lecture Notes, No. 399, Springer, Wien-New York (1999).
41. H. Altenbach and A. A. Zolochevsky, "Eine energetische Variante der Theorie des Kriechens und der Langzeltfestigkeit für isotrope Werkstoffe mit kompliziereten Eigenschaften," ZAMM, 74, No. 3, 189-199 (1994).
42. H. Altenbach and A. Zolochevsky, "A generalized failure criterion for three-dimensional behavior of isotropic materials," Eng. Fract. Mech., 54, No 1, 75-90 (1996).
43. J. Altenbach and H. Altenbach, Einführung in die Kontinuumsmechanik. Teubner Studienbücher Mechanik, Teubner, Stuttgart (1994).
44. E. N. da C. Andrade, "On the viscous flow of metals, and allied phenomena," Proc. R. Soc. Land., A, LXXXIV, 1-12 (1910).
45. ANSYS User's Manual, Vols. 1-4, Swanson Analysis Systems, Inc. (1994).
46. M. F. Ashby, Engineering Materials, Vol. 1, Pergamon, Oxford (1980).
47. G. Backhaus, Deformationsgesetze, Akademie-Verlag, Berlin (1983).
48. N. Bakhvalov and G. Panasenko, Homogenization: Averaging Processes in Periodic Media. Mathematical Problems in Mechanics of Composite Materials, Kluwer, Dordrecht (1984).
49. J. L. Bassani and D. E. Hawk, "Influence of damage on crack-tip fields under small-scale-creep conditions," Int. J. Fracture, 42, 157-172 (1990).
50. A. Benallal (ed.), Continuous Damage and Fracture, Elsevier, Paris (2000).
51. J. F. Besseling and E. van der Giessen, Mathematical Modeling of Inelastic Deformation, Chapman and Hall, London (1994).
52. J. Betten, "Anwendungen von Tensorfunktionen in der Kontinuumsmechanik anisotroper Materialien," ZAMM, 78, No. 8, 507-521 (1998).
53. J. Betten, "Recent advances in applications of tensor functions in continuum mechanics," in: E. van der Giessen and T. Y. Wu, (eds.), Advances in Applied Mechanics, Vol. 37, Acad. Press, San Diego (2001), pp. 277-364.
54. J. Betten, "Mathematical modeling of materials behavior under creep condition," Appl. Mech. Rev., 54, No. 2, 107-132 (2001).
55. J. Betten, Creep Mechanics, Springer, Berlin (2002).
56. J. Betten, E. El-Magd, S. C. Meydanii, and P. Palmen, "Untersuchnung des anisotropen Kriechverhaltens vorgeschädigter Werkstoffe aus austenitischen Stahl X8CrNiMoNb 1616," Arch. Appl. Mech., 65, 121-132 (1995).
57. A. Bodnar and M. Chrzanowski, "A non-unilateral damage in creeping plates," M. Zyczkowski (ed.), Creep in Structures, Springer, Berlin-Heidelberg (1991), pp. 287-293.
58. J. P. Boehler (ed.), Mechanical Behavior of Anisotropic Solids: Colloques Internaux du CNRS No. 295, The Hague, Martinus Nijhoff (1982).
59. J. P. Boehler (ed.), Application of Tensor Functions in Solid Mechanics: CISM Courses and Lecture Notes, No. 292, Springer, Wien-New York (1987).
60. J. T. Boyle and J. Spence, Stress Analysis for Creep, Butterworth, London (1983).
61. B. J. Cane, "Creep fracture of dispersion strengthened low alloy ferritic steels," Acta Metall., 29, 1581-1591 (1981).
62. L.-L. Chaboche, "Continuum damage mechanics: Part 1: General concepts, Part 2: Damage growth, crack initiation, and crack growth," Trans ASME, J. Appl. Mech., 55, No. 3, 59-71 (1988).
63. W. F. Cnen and H. Zhang, Structural Plasticity, Springer, Berlin (1991).
64. B. D. Coleman and M. E. Gurtin, "Thermodynamics with internal state variables," J. Physical Chemics, 47, No. 2, 597-613 (1967).
65. A. C. Eringen and G. A. Maugin, Electrodynamics of Continua, 1. Foundations and Solid Media, Springer, New York (1989).
66. W. N. Findley, J. S. Lai, and K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, New York, (1989).
67. I. Finnic and W. R. Heller, Creep of Engineering Materials, McGraw-Hill, New York (1959).
68. D. Francois, A. Pineau, and A. Zaoui, Mechanical Behavior of Materials, Vol. 1 and 2, Khiwer, Dordrecht (1998).
69. H. J. Frost and M. F. Ashby, Deformation-Mechanism Maps, Pergamon, Oxford (1982).
70. H. Giesekus, Phänomenologische Rheologie, Springer, Berlin (1994).
71. E. van der Giessen, B. N. Nguyen, and P. R. Onck, "From a microstructural to a continuum model for creep fracture," in: A. Benallal (ed.), Continuous Damage and Fracture, Elsevier, Paris (2000), pp. 129-136.
72. P. Gummert, "General constitutive equations for simple and non-simple materials," in: H. Altenbach and J. Skrzypek (eds.), Creep and Damage in Materials and Structures: CISM Courses and Lecture Notes, No. 399, Springer, Wien-New York (1999), pp. 1-43.
73. Y. M. Haddad, Viscoelasticity of Engineering Materials, Chapman and Hall, London (1995).
74. N. H. Hansen and H. L. Schreyer, "Damage deactivation," Trans. ASME, J. Appl. Mech., 62, 450-58 (1995).
75. P. Haupt, Continuum Mechanics and Theory of Materials, Springer, Berlin (2000).
76. D. R. Hayhurst, "Creep rupture under multiaxial states of stress," J. Mech. Phys. Solids, 20, 381-390 (1972).
77. D. R. Hayhurst, "Materials data bases and mechanisms-based constitutive equations for use in design," in: H. Altehbach and J. Skrzypek (eds.), Creep and Damage in Materials and Structures, Springer, Wien-New York (1990).
78. R. Hill, The Mathematical Theory of Plasticity, Oxford Univ. Press, London (1950).
79. N. J. Hoff (ed.), Creep in Structures, Springer, Berlin (1962).
80. J. Huit (ed.), Creep in Structures, Springer, Berlin (1972).
81. T. H. Hyde, W. Sun, P. A. Agyakwa, P. M. Shipway, and J. A. Williams, "Anisotropic creep and fracture behavior of a 9CrMoNbV weld metal at 650 °C," in: J. Skrzypek and A. Ganczarski (eds.), Anisotropic Behavior Damaged Materials, Springer, Berlin (2003).
82. T. H. Hyde, W. Sun, A. A. Becker, "Failure prediction for multi-material creep test specimens using steady-state creep rupture stress," Int. J. Mech. Sci., 42, 401-423 (2000).
83. T. H. Hyde, W. Sun, A. A. Becker, and J. A. Williams, "Creep continuum damage constitutive equations for the base, weld and heat-affected zone materials of a service-aged 1/2Crl/2Mol/4V:2 1/4Cr1Mo multipass weld at 640 °C,"J. Strain Anal., 32, No. 4, 273-285 (1997).
84. T. H. Hyde, W. Sun, and A. Tang, "Determination of material constants in creep continuum damage constitutive equations," Strain, 34, August, 83-90 (1998).
85. T. H. Hyde, W. Sun, and J. A. Williams, "Prediction of failure life of internally pressurized thick walled CrMoV pipes," Int. J. Press. Vess. Piping, 76, 925-933 (1999).
86. T. H. Hyde, L. Xia, and A. A. Becker, "Prediction of creep failure in aeroengine materials under multi-axial stress states," Int. J. Mech. Sci., 38, No. 4, 385-403 (1996).
87. J. Janson and J. Huit, "Fracture mechanics and damage mechanics - a combined approach," J. Mecanique Theor. Appl., 1, No. 1, 69-84 (1977).
88. A. E. Johnson and N. E. Frost, "Fracture under combined stress creep conditions of 0.5% molybdenum steel,"Engineer, 191, 434-39 (1951).
89. B. C. Kerr, M. Staubli, M. Nazmy, K. M. Nikbin, and G. A. Webster, "Effects of the state of stress on the tensile and creep properties of y-TiAl," J. Strain Anal., 32, No. 2, 97-105 (1997).
90. Z. L. Kowalewski, D. R. Hayhurst, and B. F. Dyson, "Mechanisms-based creep constitutive equations for an aluminum alloy, " J. Strain Anal., 29, No. 4, 309-316 (1994).
91. Z. L. Kowalewski, "Creep rupture of copper under complex stress state at elevated temperature," in: Design and Life Assessment at High Temperature, Mech. Eng. Publ., London (1996), pp. 113-122.
92. D. Krajcinovic and J. Lemaitre (eds.), Continuum Damage Mechanics - Theory and Application: CISM Courses and Lecture Notes, No. 295, Springer, Wien-New York (1987).
93. H. Krans, Creep Analysis, Wiley, New York (1980).
94. A. Krawietz, Materialtheorie. Mathematische Beschreibung des phänomenologischen thermomechanischen Verhalten, Springer, Berlin (1986).
95. F. A. Leckie and D. R. Hayhurst, "Constitutive equations for creep rupture," Acta Metal., 25, 1059-1070 (1977).
96. J. Lemaitre and J. Duffailly, "Damage measurements," Eng. Frac. Mech., 28, No. 5/6, 643-661 (1987).
97. J. Lemaitre, A Course on Damage Mechanics, 2nd ed., Springer, Berlin (1996).
98. J. Lemaitre and J.-L. Chaboche, Mechanics of Solid Materials, Cambridge Univ. Press, Cambridge (1990).
99. J. Lemaitre, "Open problems in damage mechanics," in: A. Benallal (ed.), Continuous Damage and Fracture, Elsevier, Paris (2000), pp. 129-136.
100. G. E. Lucas and R. M. N. Pelloux, "Texture and stress state dependent creep in Zircaloy-2," Met. Trans., 12A, No. 7, 1321-1331 (1981).
101. L. I. Manevitch, I. V. Andrianov, and V. G. Oshmyan, Mechanics of Periodically Heterogeneous Structures, Springer, Berlin (2002).
102. R. von Mises; "Mechanik der plastischen Formanderung von Kristallen," ZAMM, 8, No. 3, 161-185 (1928).
103. S. Murakami, "Notion of continuum damage mechanics and its application to anisotropic creep damage theory," ASME J. Eng. Mat. Tech., 105, 99-105 (1983).
104. S. Murakami and Y. Liu, "Mesh-dependence in local approach to creep fracture," Int. J. Damage Mech., 4, 230-250 (1995).
105. S. Murakami and N. Ohno, "A continuum theory of creep and creep damage," in: A. R. S. Ponter and D. R. Hayhurst (eds.), Creep in Structures, Springer, Berlin (1981), pp. 422-444.
106. S. Murakami and N. Ohno (eds.), IUTAM Symposium on Creep in Structures, Kluwer, Dordrecht (2001).
107. S. Murakami and Y. Sanomura, "Creep and creep damage of copper under multiaxial states of stress," in: A. Sawczuk and B. Bianchi (eds.), Elasticity Today - Modeling, Methods and Applications, Elsevier, London-New York (1985), pp. 535-551.
108. S. Murakami, Y. Sanomura, and M. Hattori, "Modeling of the coupled effect of plastic damage and creep damage in Nimonic 80A," Int. J. Solids Struct., 22, No. 4, 373-386 (1986).
109. F. R. N. Nabarro and H. L. de Villiers, The Physics of Creep. Creep and Creep-Resistant Alloys, Taylor and Francis, London (1995).
110. K. Naumenko, "On the use of the first order shear deformation models of beams, plates and shell in creep lifetime estimations," Technische Mechanik, 20, No. 3, 215-226 (2000).
111. T. Nishitani, "Mechanical behavior of nonlinear viscoelastic celluloid under superimposed hydrostatic pressure," Trans. ASME, J. Press. Vess. Technol., 100, No. 3, 271-276 (1978).
112. W. Nowacki, Theorie des Kriechens, Verlag H. Deutsch, Wien (1965).
113. F. K. G. Odqvist, Mathematical Theory of Creep and Creep Rupture, Oxford Univ. Press, Oxford (1974).
114. F. K. G. Odqvist and J. Huit, Kriechfestigkeit metallischer Werkstoffe, Springer, Berlin (1962).
115. M. Ohno and T. Miyake, "Stress relaxation in broken fibers in unidirectional composites: modeling and application to creep rupture analysis," Int. J. Plasticity, 15, 167-189 (1999).
116. I. A. Okumura and Y. Oguma, "Series solution for transversely loaded and completely clamed thick rectangular plate based on the three-dimensional theory of elasticity," Arch. Appl. Mech., 68, 103-121 (1998).
117. P. R. Onck and E. van der Giessen, "Growth of an initially sharp crack by boundary cavitation," J. Mech. Phys. Solids., 47, 99-139 (1999).
118. A. M. Othman, B. F. Dyson, D. R. Hayhurst, and J. Lin, "Continuum damage mechanics modelling of circumferentially notched tension bars undergoing tertiary creep with physically-based constitutive equations," Acta Metall. Mater., 42, No. 3, 597-611 (1994).
119. V. Palmar, Vibrations in Elastoplastic Bodies, Springer, Berlin (1998).
120. R. K. Penny and D. L. Mariott, Design for Creep, Chapman and Hall, London (1995).
121. Perrin and D. R. Hayhurst, "Creep constitutive equations for a 0.5Cr0.5Mo-0.25V ferritic steel in the temperature range 600-675 °C," J. Strain Anal., 31, No. 4, 299-314 (1994).
122. M. Plewa and W. Osipiuk, "Creep of tubular test pieces in a complex state of stress," Int. J. Press. Vess. Piping, 75, 63-66 (1998).
123. A. R. S. Ponter and D. R. Hayhurst (eds.), Creep in Structures, Springer, Berlin (1981).
124. E. Reissner, "On the theory of bending of elastic plates," J. Math. Phys., 23, 184-191 (1944).
125. E. Reissner, "The effect of transverse shear deformation on the bending of elastic plates," J. Appl. Mech., 12, No. 11, A69-A77 (1945).
126. E. Reissner, "A variational theorem in elasticity," J. Math. Phys., 29, 90-95 (1950).
127. E. Reissner, "A note on the boundary layer in the sixth-order theory of transverse bending of anisotropic shear-deformable elastic plates," Comm. Appl. Num. Meth., 6, 519-524 (1990).
128. H. Riedel, Fracture at High Temperatures. Materials Research and Engineering, Springer, Berlin (1987).
129. G. J. Rodin and D. M. Parks, "Constitutive models of a power-law matrix containing aligned penny-shaped cracks," Mech. Mater., 5, 221-228 (1986).
130. K. Saanouni, J.-L. Chaboche, and P. M. Lense, "On the creep, crack-growth prediction by a non-local damage formulation," Eur. J. Mech., A, Solids, 8, No. 6, 437-459 (1989).
131. E. Sanchez Palencia, Introduction aux methodes asymptotiques et a l'homogeneisation, Masson, Paris (1992).
132. J. Skrzypek and A. Ganczarski, Modelling of Material Damage and Failure of Structures. Foundation of Engineering Mechanics, Springer, Berlin (1998).
133. J. J. Skrzypek and A. Ganczarski (eds.), Anisotropic Behavior of Damaged Materials, Springer, Berlin (2003).
134. J. J. Skrzypek, Plasticity and Creep, CRC Press, Boca Raton (1993).
135. A. Sluizalec, Introduction to Nonlinear Thermomechanics, Springer, Berlin (1992).
136. A. J. M. Spencer, "Theory of invariants," in: A. C. Eringer (ed.), Continuum Physics, Acad. Press, New York (1969), pp. 339-353.
137. P. Suquet, Plasticite et homogeneisation, These de doctoral d'Etat Universite Pierre et Marie Curie, Paris (1982).
138. C. Truesdell, "Second-order effects in the mechanics of materials," in: M. Reiner and D. Abir (eds.), Second-Order Effects in Elasticity, Plasticity and Fluid Dynamics, Pergamon Press, Oxford (1964), pp. 228-251.
139. M. Zyczkowski, Combined Loadings in the Theory of Plasticity, PWN-Polish Sci. Publ., Warsaw (1981).
140. M. Zyczkowski (ed.), Creep in Structures, Springer, Berlin (1991).
141. M. Zyczkowski, "Creep damage evolution equations expressed in terms of dissipated power," Int. J. Mech. Sci., 42, 755-769 (2000).