Endochronic description for viscoplastic behavior of materials under multiaxial loading

International Journal of Solids and Structures

Volumn 34, Issue 17, 1997, Pages 2131-2160

  Pan, W F ^a   Chern, C H ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; STRAIN; VISCOPLASTICITY;

ENDOCHRONIC THEORY; MULTIAXIAL LOADING;

STRUCTURAL LOADS;

ENDOCHRONIC THEORY; LOADING; VISCOPLASTICITY;

EID: 0031171110     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00118-7     Document Type: Article

References (37)

1. Bazant, Z. P. and Bhat, P. D. (1976). Endochronic theory of inelasticity and failure for concrete. Journal of Engineering Mechanics ASME 102, EM4, 701-722.
2. Ellyin, F., Xia, Z. and Sasaki, K. (1991). Rate-dependent plastic deformation-experiments and constitutive modelling. Proceedings of PLASTICITY '91, The 3rd International Symposium on Plasticity and Its Current Applications, Grenoble, France, pp. 439-442.
3. Fan, J. (1983). A comprehensive numerical study and experimental verification of endochronic plasticity. Ph.D. Dissertation, Department of Aerospace Engineering and Applied Mechanics, University of Cincinnati.
4. Fan, J. and Peng, X. (1991). A physically based constitutive description for nonproportional cyclic plasticity. Journal of Engineering Materials Technology 113, 254-262.
5. Im, S. and Atluri, S. N. (1987). A study of two finite strain plasticity models: an internal time theory using Mandel's director concept and a general isotropic/kinematic-hardening theory. International Journal of Plasticity 3, 163-191.
6. Imai, G. and Xie, C. (1990). An endochronic constitutive law for static shear behavior of overconsolidated clays. Soils and Foundations, Japanese Society Soil Mechanics and Foundation Engineering 30(1), 65-75.
7. Inoue, T., Imatani, S. and Sahashi, T. (1985) On the plasticity creep interaction behavior of SUS 304 steel under combined stress state of tension and torsion. The 28th Japan Congress on Material Research, pp. 15-22.
8. Krempl, E. (1979). An experimental study of room-temperature rate-sensitivity, creep and relaxation of AISI 304 stainless steel. Journal of the Mechanics and Physics of Solids 27, 363-375.
9. Lamba, H. S. and Sidebottom, O. M. (1978) Cyclic plasticity for non-proportional paths : part 1 - cyclic hardening, erasure of memory and subsequent strain hardening experiments. Journal of Engineering Materials Technology 100, 96-103.
10. Lin, H. C. and Wu, H. C. (1976). Strain-rate effect in the endochronic theory of viscoplasticity. Journal of Applied Mechanics 98, 92-96.
11. Lin, H. C. and Wu, H. C. (1983). On the rate-dependent endochronic theory of viscoplasticity and its application to plastic-wave propagation. International Journal of Solids and Structures 19(7), 587-599.
12. Mathison, S. R., Pindera, M. J. and Herakovich, C. T. (1991). Nonlinear response of resin matrix laminates using endochronic theory. Journal of Engineering Materials Technology 113, 449-455.
13. Murakami, H. and Read, H. E. (1987). Endochronic plasticity: some basic properties of plastic flow and failure. In ternational Journal of Solids and Structures 23(1), 133-151.
14. Murakami, H. and Read, H. E. (1989). A second-order numerical scheme for integrating the endochronic plasticity equations. Computers and Structures 31, 663-672.
15. Valanis, K. C. (1971), A theory of viscoplasticity without a yield surface, part I - general theory; part II -application to mechanical behavior of metals. Archives Mechanics 25, 517-551.
16. Valanis, K. C. (1977). Proper tensorial formulation of the internal variable theory - the endochronic time spectrum. Archives Mechanics 29, 173-185.
17. Valanis, K. C. (1978). Endochronic theory of plastic fluids - metals under large deformation. Applications of Numerical Methods to Forming Processes, ADM 28 (ed. H. Armen), The American Society of Mechanical Engineers, pp. 47-58.
18. Valanis, K. C. (1979). Endochronic theory with proper loop closure properties. System Science and Software Report SSS-R-80-4182.
19. Valanis, K. C. (1980). Fundamental consequence of a new intrinsic time measure-plasticity as a limit of the endochronic theory. Archives Mechanics 32, 171-191.
20. Valanis, K. C. (1984). Continuum foundations of plasticity. ASME Journal of Engineering Materials Technology 106, 367-375.
21. Valanis, K. C. and Fan, J. (1983). Endochronic analysis of cyclic elastoplastic strain fields in a notched plate. Journal of Applied Mechanics 50, 789-794.
22. Valanis, K. C. and Lee, C. F. (1984). Endochronic theory of cyclic plasticity with applications. Journal of Applied Mechanics 51, 367-374.
23. Valanis, K. C. and Read, H. E. (1986). An endochronic plasticity theory for concrete. Mechanics of Materials 5, 177-295.
24. Watanabe, O. and Atluri, S. N. (1985). A new endochronic approach to computational elasto-plasticity : an example of cyclically loaded cracked plate. Journal of Applied Mechanics 52, 857-864.
25. Watanabe, O. and Atluri, S. N. (1986). Constitutive modeling of cyclic plasticity and creep, using an internal time concept. International Journal of Plasticity 2(2), 107-134.
26. Wu, H. C. and Yip, M. C. (1980). Strain-rate and strain-rate history effects on the dynamic behavior of metallic materials. International Journal of Solids and Structures 16, 515-536.
27. Wu, H. C. and Yip, M. C. (1981). Endochronic description of cyclic hardening behavior for metallic material. Journal of Engineering Materials Technology 103, 212-217.
28. Wu, H. C. and Yang, R. J. (1983). Application of the improved endochronic theory of plasticity to loading with multi-axial strain path. International Journal of Nonlinear Mechanics 18, 395-408.
29. Wu, H. C. and Wang, T. P. (1983). Endochronic modeling for shear hysteresis of sand. Journal of Geotechnical Engineering 109(4) 970-981.
30. Wu, H. C. and Sheu, J. C. (1983). Endochronic description of sand response to static loading. Journal of Engineering Mechanics 109(12), 1539-1550.
31. Wu, H. C. and Aboutorabi, M. R. (1988). Endochronic model of sand with circular stress path. Journal of Geotechnical Engineering 114(1), 95-105.
32. Wu, H. C. and Yeh, W. C. (1988). Some consideration in the endochronic description of anisotropic hardening. Acta Mechanica 69, 59-65.
33. Wu, H. C., Yang, C. C. and Chu, S. C. (1985). Further applications of endochronic constitutive equation to loading with non-proportional axial-torsional strain-path. International Journal of Nonlinear Mechanics 20, 41-52.
34. Wu, H. C., Wang, Z. K. and Aboutorabi, M. R. (1985). Endochronic modeling of sand in true triaxial test. Journal of Engineering Mechanics 111(10), 1257-1268.
35. Wu, H. C., Wang, T. P., Pan, W. F. and Xu, Z. Y. (1990). Cyclic stress - strain response of porous aluminum. International Journal of Plasticity 6, 207-230.
36. Wu, H. C., Lu, J. K. and Pan, W. F. (1995). Endochronic equations for finite plastic deformation and application to metal tube under torsion. International Journal of Solids and Structures 32(8/9), 1079-1097.
37. Yoshida, F. (1989). Viscoplastic behavior of SUS304 stainless steel under cyclic loading at room temperature and its phenomenological description. Proceedings of PLASTICITY '89, the 2nd International Symposium on Plasticity and its Current Applications (eds Khan, A. S. and Tokuda, M.), Mei, Japan, pp. 277-280.