Multiscale thermodynamic significance of the scale invariance approach in continuum inelasticity

Journal of Engineering Materials and Technology

Volumn 128, Issue 2, 2006, Pages 125-132

  Yang, Q ^a   Chen, X ^b   Zhou, W Y ^a  

^a TSINGHUA UNIVERSITY   (China)

^b CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; PLASTIC DEFORMATION; PLASTICITY; POLYCRYSTALLINE MATERIALS; THERMODYNAMIC PROPERTIES;

CONTINUUM INELASTICITY; MACRO-PLASTICITY; VARIATIONAL EQUATION;

ELASTIC MODULI;

EID: 33646010683     PISSN: 00944289     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2172271     Document Type: Article

References (26)

1. Aifantis, E. C., 1995, "From Micro- to Macro-Plasticity: The Scale Invariance Approach," ASME J. Eng. Mater. Technol., 117, pp. 352-355.
2. Ning, J., and Aifantis, E. C., 1996, "Anisotropic Yield and Plastic Flow of Polycristalline Solids," Int. J. Plast., 12 pp. 1221-1240.
3. Rice, J. R., 1971, "Inelastic Constitutive Relations for Solids: An Integral Variable Theory and its Application to Metal Plasticity," J. Much. Phys. Solids, 19, pp. 433-455.
4. 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.
5. Ziegler, H., 1977, An Introduction to Thermomechanics, North-Holland, Amsterdam.
6. McDowell, D. L., 2000, "Modeling and Experiments in Plasticity," Int. J. Solids Struct., 37. pp. 293-309.
7. Sih, G. C., 2004, "Current Approaches to Material Damage at Different Size and Time Scales - Foreword," Theor. Appl. Fract. Mech., 41, pp. XIII-XVI.
8. Swoboda, G., and Yang, Q., 1999, "An Energy-Based Damage Model of Geomaterials - I. Formulation and Numerical Results," Int. J. Solids Struct., 36, pp. 1719-1734.
9. Swoboda, G., and Yang, Q., 1999, "An Energy-Based Damage Model of Geomaterials - II. Deduction of Damage Evolution Laws," Int. J. Solids Struct., 36, pp. 1735-1755.
10. Yang, Q., Zhou, W. Y. and Swoboda, G., 1999, "Micromechanical Identification of Anisotropic Damage Evolution Laws," Int. J. Fract., 68, pp. 740-750.
11. Yang, Q., Chen, X., and Zhou, W. Y., 2005, "On Microscopic Thermodynamic Mechanisms of Damage Evolution Laws," Int. J. Damage Mech., 14, pp. 261-293.
12. Onsager, L., 1931, "Reciprocal Relations in Irreversible Processes, I, II," Phys. Rev., 37, pp. 405-406:
13. 1931, "Reciprocal Relations in Irreversible Processes, I, II," Phys. Rev., 38, pp. 2265-2279.
14. De Groot, S. R., and Mazur, P., 1962, Non-Equlibrium Thermodynamics, North-Holland, Amsterdam.
15. Ziegler, H., and Wehrli, C., 1987, "The Derivation of Constitutive Relations from the Free-Energy and the Dissipation Function," Adv. Appl. Mech., 25, pp. 183-238.
16. Ziegler, H., and Wehrli, C., 1987. "On a Principle of Maximal Rate of Entropy Production," J. Non-Equil. Thermodyn., 12, pp. 229-243.
17. Edelen, D. G. B., 1972, "A Nonlinear Onsager Theory of Irreversibility," Int. J. Eng. Sci., 10, pp. 481-490.
18. Yang, Q., Tham, L. G., and Swoboda, G., 2005, "Normality Structures with Homogeneous Kinetic Rate Laws," ASME J. Appl. Mech., 72, pp. 322-329.
19. Yang, Q., Chen, X., and Zhou, W. Y., 2005, "Microscopic Thermodynamic Basis of Normality Structure of Inelastic Constitutive Relations," Mech. Res. Commun., 32, pp. 590-596.
20. Edelen, D. G. B., 1973, "Asymptotic Stability, Onsager Fluxes and Reaction Kinetics," Int. J. Eng. Sci., 11, pp. 819-839.
21. Yang, Q., Chen, X., and Zhou, W. Y., 2005, "Relationship Between Normality Structure und Orthogonality Condition," Mech. Res. Commun., 32. pp. 582-589.
22. Yang, Q., Chen, X., and Zhou, W. Y., 2005, "Thermodynamic Relationship Between Creep Crack Growth and Creep Deformation," J. Non-Equil. Thermodyn., 30, pp. 81-94.
23. Lubliner, H., 1990, Plasticity Theory, Macmillan Publishing Company, New York.
24. Qin, Q., and Bassani, J. L., 1992, "Non-Schmid Yield Behaviour in Single Crystals," J. Mech. Phys. Solids, 40, pp. 813-833.
25. Krajcinovic, D., 1996, Damage Mechanics, Elsevier, Amsterdam.
26. Krajcinovic, D., Basista, M., and Sumarac, D., 1991, " Micromechanically Inspired Phenomenological Damage Model," ASME J. Appl. Mech., 58, pp. 305-316.