Multiscale thermodynamic basis of plastic potential theory

Journal of Engineering Materials and Technology

Volumn 130, Issue 4, 2008, Pages 0445011-0445015

  Yang, Q ^a   Xue, L J ^a   Liu, Y R ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Flow rule; Internal variables; Multiscale; Plastic potential; Thermodynamic

Indexed keywords

PLASTICITY; VISCOPLASTICITY;

ENDOCHRONIC THEORY OF VISCOPLASTICITY; FLOW RULES; INELASTIC CONSTITUTIVE RELATIONS; INTERNAL VARIABLES; IRREVERSIBLE THERMODYNAMICS; MULTISCALE; PLASTIC POTENTIALS; THERMODYNAMIC FORMULATION;

THERMODYNAMICS;

EID: 54949120263     PISSN: 00944289     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2969249     Document Type: Article

References (15)

1. Koiter, W. T., 1953, "Stress-Strain Relation, Uniqueness and Variational Theorems for Elastic-Plastic Materials With a Singular Yield Surface," Q. Appl. Math., 11, pp. 350-354.
2. Drucker, D. C., 1959, "A Definition of Stable Inelastic Material," ASME J. Appl. Mech., 26, pp. 101-106.
3. Il'yushin, A. A., 1961, "On a Postulate of Plasticity," J. Appl. Math. Mech., 25, pp. 746-750.
4. Moreau, J. J., 1970, "Sur les lois de Frottement, de Viscosite et de Plasticite," Acad. Sci., Paris, C. R., 271, pp. 608-611.
5. Ziegler, H., 1977, An Introduction to Thermomechanics, North-Holland, Amsterdam.
6. 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.
7. 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.
8. 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.
9. Aifantis, E. C., 1995, "From Micro- to Macro-Plasticity: The Scale Invariance Approach," ASME J. Eng. Mater. Technol., 117, pp. 352-355.
10. Valanis, K. C., 1975, "On the Foundations of the Endochronic Theory of Viscoplasticity," Arch. Mech., 27, pp. 857-868.
11. Valanis, K. C., 1971, "A Theory of Viscoplasticity Without a Yield Surface, Part I. General Theory," Arch. Mech., 23, pp. 517-533.
12. 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, Cambridge, MA, pp. 23-79.
13. Edelen, D. G. B., 1972, "A Nonlinear Onsager Theory of Irreversibility," Int. J. Eng. Sci., 10, pp. 481-490.
14. Edelen, D. G. B., 1973, "Asymptotic Stability, Onsager Fluxes and Reaction Kinetics," Int. J. Eng. Sci., 11, pp. 819-839.
15. Onsager, L., 1931, "Reciprocal Relations in Irreversible Processes, I," Phys. Rev., 37, pp. 405-406; "Reciprocal Relations in Irreversible Processes, n," 38, pp. 2265-2279.