Hamilton’s principle of entropy production for creep and relaxation processes

Journal of Engineering Materials and Technology, Transactions of the ASME

Volumn 132, Issue 1, 2010, Pages 11018-1-11018-5

  Yang, Q ^a   Liu, Y R ^a   Bao, J Q ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Creep; Equilibrium states; Hamilton s principle; Internal variables; Relaxation; Thermodynamics

Indexed keywords

ENTROPY; RELAXATION PROCESSES; WAVE FUNCTIONS;

CONFIGURATION SPACE; ENTROPY PRODUCTION; EQUILIBRIUM STATE; HAMILTON'S PRINCIPLE; INTERNAL VARIABLES; KINETIC RATE LAW; NORMALITY STRUCTURE; RELAXATION; STATE-SPACE; THERMODYNAMIC SYSTEMS;

CREEP;

EID: 84976460592     PISSN: 00944289     EISSN: 15288889     Source Type: Journal    
DOI: 10.1115/1.4000302     Document Type: Article

References (15)

1. Biot, M. A., 1954, “The Theory of Elasticity and Consolidation for a Porous Anisotropic Solid,” J. Appl. Phys., 25, pp. 1385-1391.
2. Rice, J. R., 1971, “Inelastic Constitutive Relations for Solids: An Internal-Variable Theory and Its Application to Metal Plasticity,” J. Mech. Phys. Solids, 19, pp. 433-455.
3. Yang, Q., Tham, L. G., and Swoboda, G., 2005, “Normality Structures With Homogeneous Kinetic Rate Laws,” ASME J. Appl. Mech., 72, pp. 322-329.
4. Yang, Q., Wang, R. K., and Xue, L. J., 2007, “Normality Structures With Thermodynamic Equilibrium Points,” ASME J. Appl. Mech., 74, pp. 965-971.
5. Edelen, D. G. B., 1972, “A Nonlinear Onsager Theory of Irreversibility,” Int. J. Eng. Sci., 10, pp. 481-490.
6. Edelen, D. G. B., 1973, “Asymptotic Stability, Onsager Fluxes and Reaction Kinetics,” Int. J. Eng. Sci., 11, pp. 819-839.
7. Muschik, W., Papenfuss, C., and Ehrentraut, H., 2001, “A Sketch of Continuum Thermodynamics,” J. Non-Newtonian Fluid Mech., 96, pp. 255-290.
8. Goldstein, H., Poole, C., and Safko, J., 2002, Classical Mechanics, 3rd ed., Addison Wesley, San Francisco, CA.
9. Anthony, K. H., 2001, “Hamilton’s Action Principle and Thermodynamics of Irreversible Processes—A Unifying Procedure for Reversible and Irreversible Processes,” J. Non-Newtonian Fluid Mech., 96, pp. 291-339.
10. Maugin, G. A., 1999, The Thermodynamics of Nonlinear Irreversible Behaviors, World Scientific, Singapore.
11. 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.
12. Hill, R., and Rice, J. R., 1973, “Elastic Potentials and the Structure of Inelastic Constitutive Laws,” SIAM J. Appl. Math., 25, pp. 448-461.
13. Onsager, L., 1931, “Reciprocal Relations in Irreversible Processes. I.,” Phys. Rev., 37, pp. 405-406.
14. Onsager, L., 1931, “Reciprocal Relations in Irreversible Processes. II.,” Phys. Rev., 38, pp. 2265-2279.
15. Ziegler, H., 1977, An Introduction to Thermomechanics, North-Holland, Amsterdam.