A generalized formulation of the concept of nonhardening region

作者: K. Hashiguchi , T. Yoshimaru

DOI: 10.1016/S0749-6419(95)00003-8

关键词: Large deformationPlasticityHardening (metallurgy)Cyclic loadingMathematical modelMaterials scienceHypersphereClassical mechanicsKinematic hardening

摘要: Abstract A stable hysteresis loop is realized under a cyclic loading between fixed strain limits for metals. To describe this phenomenon the idea of memory hypersphere was proposed by Chaboche et al. [1979] and it has been extended Ohno [1982] as concept nonhardening (strain) region , which assumes that an isotropic hardening does not proceed when plastic exists inside in space. generalized formulation presented article, concerns isotropic-kinematic materials, limited to metals, undergoing large deformation with material rotation.

参考文章(32)
J.R. Rice, D.M. Tracey, Computational Fracture Mechanics Numerical and Computer Methods in Structural Mechanics. pp. 585- 623 ,(1973) , 10.1016/B978-0-12-253250-4.50031-2
Y. F. Dafalias, E. P. Popov, A model of nonlinearly hardening materials for complex loading Acta Mechanica. ,vol. 21, pp. 173- 192 ,(1975) , 10.1007/BF01181053
P. P. Benham, R. J. Crawford, Mechanics of engineering materials ,(1986)
Wilfred D. Iwan, On a Class of Models for the Yielding Behavior of Continuous and Composite Systems Journal of Applied Mechanics. ,vol. 34, pp. 612- 617 ,(1967) , 10.1115/1.3607751
Y. F. Dafalias, Corotational Rates for Kinematic Hardening at Large Plastic Deformations Journal of Applied Mechanics. ,vol. 50, pp. 561- 565 ,(1983) , 10.1115/1.3167091
N. Ohno, Y. Kachi, A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials Journal of Applied Mechanics. ,vol. 53, pp. 395- 403 ,(1986) , 10.1115/1.3171771
I. Pillinger, P. Hartley, C.E.N. Sturgess, G.W. Rowe, Use of a mean-normal technique for efficient and numerically stable large-strain elastic-plastic finite-element solutions International Journal of Mechanical Sciences. ,vol. 28, pp. 23- 29 ,(1986) , 10.1016/0020-7403(86)90004-4
Nobutada Ohno, Recent Topics in Constitutive Modeling of Cyclic Plasticity and Viscoplasticity Applied Mechanics Reviews. ,vol. 43, pp. 283- 295 ,(1990) , 10.1115/1.3119155
Y. Yamada, N. Yoshimura, T. Sakurai, Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method International Journal of Mechanical Sciences. ,vol. 10, pp. 343- 354 ,(1968) , 10.1016/0020-7403(68)90001-5