Normality structures with homogeneous kinetic rate laws

Journal of Applied Mechanics, Transactions ASME

Volumn 72, Issue 3, 2005, Pages 322-329

  Yang, Q ^a   Tham, L G ^b   Swoboda, G ^c  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CONTINUUM MECHANICS; ELASTIC MODULI; MATRIX ALGEBRA; MICROCRACKS; MICROSTRUCTURE; STRAIN; TENSORS; THERMODYNAMICS;

KINETIC RATE LAWS; LEGENDRE TRANSFORMS; LINEAR THERMODYNAMIC PROCESSES; STRAIN TENSORS;

KINETIC ENERGY;

EID: 20444446281     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1867991     Document Type: Article

References (28)

1. 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.
2. Rice, J. R., 1975, "Continuum Mechanics and Thermodynamics of Plasticity in Relation to Microscale Deformation Mechanisms," Constitutive Equations in Plasticity, A. S. Argon, ed., MIT Press, Cambridge, MA, pp. 23-79.
3. Onsager, L., 1931, "Reciprocal Relations in Irreversible Processes, I, II," Phys. Rev., 37, pp. 405-406;
4. 1931, "Reciprocal Relations in Irreversible Processes, I, II," Phys. Rev., 38, pp. 2265-2279.
5. Rice, J. R., 1978, "Thermodynamics of Quasi-Static Growth of Griffith Cracks," J. Mech. Phys. Solids, 26, pp. 61-78.
6. De Groot, S. R., Mazur, P., 1962, Non-equilibrium Thermodynamics, North-Holland, Amsterdam.
7. Ziegler, H., 1977, An Introduction to Thermomechanics, North-Holland, Amsterdam.
8. Edelen, D. G. B., 1972, "A Nonlinear Onsager Theory of Irreversibility," Int. J. Eng. Sci., 10, pp. 481-490.
9. Edelen, D. G. B., 1973, "Asymptotic Stability, Onsager Fluxes and Reaction Kinetics," Int. J. Eng., 11, pp. 819-839.
10. Ziegler, H., Wehrli, C., 1987, "On a Principle of Maximal Rate of Entropy Production," J. Non-Equil. Thermodyn., 12, pp. 229-243.
11. Rajagopal, K. R., Srinivasa, A. R., 1998, "Mechanics of the Inelastic Behavior of Materials. II. Inelastic Response," Int. J. Plast., 14, pp. 969-995.
12. Rajagopal, K. R., Srinivasa, A. R., 2000, "A Thermodynamic Framework for Rate-Type Fluid Models," J. Non-Newtonian Fluid Mech., 88, pp. 207-227.
13. Rajagopal, K. R., and Srinivasa, A. R., 2004, "On Thermomechanical Restrictions of Continua," Proc. R. Soc. London, Ser. A, 460, pp. 631-651.
14. Puzrin, A. M., Houlsby, G. T., 2003, "Rate-Dependent Hyperplasticity With Internal Functions," J. Eng. Mech., 129, pp. 252-263.
15. Krajcinovic, D., 2000, "Damage Mechanics: Accomplishments, Trends and Needs," Int. J. Solids Struct., 37, pp. 267-277.
16. Lemaitre, J., Desmorat, R., Sauzay, M., 2000, "Anisotropic Damage Law of Evolution," Eur. J. Mech. A/Solids, 19, pp. 187-208.
17. Maugin, G. A., 1999, The Thermodynamics of Nonlinear Irreversible Behaviors, World Scientific, Singapore.
18. Valanis, K. C., 1971, "A Theory of Viscoplasticity Without a Yield Surface, Part I. General Theory," Arch. Mech., 23, pp. 517-533.
19. Valanis, K. C., 1975, "On the Foundations of the Endochronic Theory of Viscoplasticity," Arch. Mech., 27, pp. 857-868.
20. Delph, T. J., 1999, "A Simple Model for Crack Growth in Creep Resistant Alloys," Int. J. Fract., 98, pp. 77-86.
21. Ritchie, R. O., Gilbert, C. J., McNaney, J. M., 2000, "Mechanics and Mechanisms of Fatigue Damage and Crack Growth in Advanced Materials," Int. J. Solids Struct., 37, pp. 311-329.
22. Broek, D., 1987, Elementary Engineering Fracture Mechanics, Martinus Nijhoff, Dordrecht, The Netherlands.
23. Yang, Q., Tham, L. G., Swoboda, G., 2002, "Micromechanical Basis of Non-linear Phenomenological Equations as Damage Evolution Laws," Mech. Res. Commun., 29, pp. 131-136.
24. Yang, Q., Tham, L. G., Swoboda, G., 2004, "Relationship Between Refined Griffith Criterion and Power Laws for Cracking," Mech. Res. Commun., 31, pp. 429-434.
25. Chow, C. L., Lu, T. J., 1989, "On Evolution Laws of Anisotropic Damage," Eng. Fract. Mech., 34, pp. 679-701.
26. Soh, C. K., Liu, Y., Yang, Y., Dong, Y., 2003, "A Displacement Equivalence-Based Damage Model for Brittle Materials - Part I: Theory," ASME J. Appl. Mech., 70, pp. 681-687.
27. Swoboda, G., Yang, Q., 1999, "An Energy-Based Damage Model of Geomaterials-II. Deduction of Damage Evolution Laws," Int. J. Solids Struct., 36, pp. 1735-1755.
28. Yang, Q., Zhou, W. Y., Swoboda, G., 1999, "Micromechanical Identification of Anisotropic Damage Evolution Laws," Int. J. Fract., 68, pp. 740-750.