The Constitutive Equations for Mixed Hardening Orthotropic Material

LIU Teng-xi; HUANG Shi-qing; FU Yi-ming

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LIU Teng-xi, HUANG Shi-qing, FU Yi-ming. The Constitutive Equations for Mixed Hardening Orthotropic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 192-196.

Citation:

LIU Teng-xi, HUANG Shi-qing, FU Yi-ming. The Constitutive Equations for Mixed Hardening Orthotropic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 192-196.

Citation:

LIU Teng-xi, HUANG Shi-qing, FU Yi-ming. The Constitutive Equations for Mixed Hardening Orthotropic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 192-196.

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The Constitutive Equations for Mixed Hardening Orthotropic Material

1.
Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;
2.
College of Architecture Engineering, Zhejiang University, Hangzhou 310027, P. R. China

Received Date: 2001-07-03
Rev Recd Date: 2002-08-05
Publish Date: 2003-02-15

Abstract

Abstract

A dimensionless stress yield criterion is proposed to describe the mixed hardening of orthotropic material, including kinematic hardening and proportional hardening, and the associated plastic flow law is derived. The generalized effective stress-strain formulae can be obtained correspondingly based on the experimental stress-strain curves in various simple stress states. The initial plastic anisotropy is influenced by the elastic anisotropy. The yield creterion can be reduced to Huber-Mises Criterion for isotropic materials and associated constitutive equations can be degenerated into PrandtlReuss Equations.
- anisotropy,
- mixed-hardening,
- elastoplasticity,
- yield criterion,
- constitutive equations

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References(9)

References

[1]	Hill R.The Mathematical Theory of Plasticity[M].London:Oxford University Press,1950.
[2]	Hill R.A theory of uniqueness and stability in elastic plastic solids[J].J Mech Phys Solids,1958,6(2):236-249.
[3]	刘腾喜,黄世清,傅衣铭.正交各向异性板的弹塑性稳定性分析[J].湖南大学学报,2001,28(4):54-57.
[4]	梁炳文,胡世光.弹塑性稳定理论[M].北京:国防工业出版社,1983.
[5]	黄克智,黄永刚.固体本构关系[M].北京:清华大学出版社,1999.
[6]	Chen J L,Sun C T.A plastic potential function suitable for anisotropic fiber composites[J].Journal of Composite Materials,1993,27(14):1397-1390.
[7]	袁祖培,郑耀.对于正交异性材料屈服与流动的探讨[J].应用数学和力学,1990,11(3):233-238.
[8]	王勖成,常亮明.运动硬化材料本构关系的精确积分及其推广应用[J].力学学报,1986,18(2):226-234.
[9]	Maewal A.A class of theories of plasticity of anisotropic and pressure sensitive materials[J].Acta Mechanica,1999,134(1):109-114.