TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (4): 1425-1435.

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TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS

Theodore H. H. Pian

Massachusetts Institute of Technology

收稿日期:1983-05-19 出版日期:1984-07-18 发布日期:1984-07-18

TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS

Theodore H. H. Pian

Massachusetts Institute of Technology

Received:1983-05-19 Online:1984-07-18 Published:1984-07-18

摘要/Abstract

摘要： The paper describes a procedure for modelling the aniso-tropic elastic-plastic behavior of metals in plane stress state by the mechanical sub-layer model. In this model the stress-strain curves along the longitudinal and transverse directions are represented by short smooth segments which are considered as piecewise linear for simplicity. The model is incorporated in a finite element analysis program which is based on the assumed stress hybrid element and the viscoplasticity theory.

关键词: fuzzy variable, fuzzy arithmetic, fuzzy finite element method, interval finite element method

Abstract: The paper describes a procedure for modelling the aniso-tropic elastic-plastic behavior of metals in plane stress state by the mechanical sub-layer model. In this model the stress-strain curves along the longitudinal and transverse directions are represented by short smooth segments which are considered as piecewise linear for simplicity. The model is incorporated in a finite element analysis program which is based on the assumed stress hybrid element and the viscoplasticity theory.

Key words: fuzzy variable, fuzzy arithmetic, fuzzy finite element method, interval finite element method

Theodore H. H. Pian . TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(4): 1425-1435.

参考文献

(1) Duwez, P., On the plasticity of crystals, Physical Review, 47,(1935), 494-501.
(2) Besseling, J. F., A Theory of Plastic-flow for Anisotropic Hardening in Plastic Deformation of an Initially Isotropic Material, Nat. Aero Research Inst. Rept. S410, Amsterdam,(1953).
(3) Leech, J. W., E. A. Witmer and T. H. H. Pian, Numerical calculation technique for large elastic-plastic transient deformations of thin shells, AIAA Journal 6,(1968), 2352-2359.
(4) Zienkiewicz, O. Z., G. C. Nayak and D. R. J. Owen, Composite and Overlay Models in Numerical Analysis of Elastic-Plastic Continua, Foundations of Plasticity, A. Sawszuk ed. Noordhoff, Leyden,(1973), 107-123.
(5) Hunsaker, B., W. E. Haisler and J. A. Stricklin, On the use of two hardening rules of plasticity in incremental and pseudo force analyses, Constitutive equation's in viscoplasticity: Computational and engineering aspect,ASME-VOL. 20,(1973), 139-170.
(6) Plan, T. H. H., Unpublished Lecture Notes on Plasticity,(1966).
(7) Perzyna, P., Fundamental Problems in Viscoplasticity, Advances in Applied Mechanics, Academic Press, New York, Vol. 9,(1966), 243-377.
(8) Plan, T. H. H., Nonlinear creep analysis by assumed stress finite element methods, AIAA Journal, Vol. 12,(1975), 1756-1758.
(9) Pian, T. H. H. and S. W. Lee, Creep and Viscoplastic Analysis by Assumed Stress Hybrid Finite Elements, Finite Elements in Nonlinear Solid and Structural Mechanics, Ed. by P. G. Bergan et al. Tapir Publisher, Trondheim, Norway,(1978), 807-822.
(10) Cormeau, I. C., Numerical stability in quasi-state elasto/viscoplasticity, Int. J. Num. Meth. Engng., 9,(1975), 109-127.
(11) Percy, J. H., W. A. Loden and D. R. Navaratna, A Study of Matrix Analysis Methods for Inelastic structures, Air Force Dynamics Laboratory Report, RTDTDA-63-4032, Oct.(1963).
(12) Jensen, W. R., W. E. Falby and N. Prince, Matrix Analysis Methods for An tropic Inelastic Structures, Air Force Flight Dynamics Lab. Report AFFDL-TR-65-220, April,(1966).

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TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS

TIME-INDEPENDENT ANISOTROPIC PLASTIC BEHAVIOR BY MECHANICAL SUBELEMENT MODELS

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