Research on WALKER Constitutive Model Tangent Modulus

Yan Chen; Qing Wu Wang; Quan Shan

doi:10.4028/www.scientific.net/AMM.249-250.113

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 249-250Research on WALKER Constitutive Model Tangent...

Research on WALKER Constitutive Model Tangent Modulus

Abstract:

In elasto-plasticity computation on materials by sub-increase finite element method, in general, it is necessary to calculate the consistent tangent modulus of elements. In this paper, based on the backward Euler integration, for an unified viscoplasticity constitutive equations, a new expression of consistent tangent modulus is derived for rate-dependent plasticity. The constitutive equations and consistent tangent modulus expression are implemented into a commercial finite element code-MARC. Numerical examples are given to verify the finite element implementation.This template explains and demonstrates how to prepare your camera-ready paper for Trans Tech Publications. The best is to read these instructions and follow the outline of this text.

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Periodical:

Applied Mechanics and Materials (Volumes 249-250)

Pages:

113-117

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.249-250.113

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Online since:

December 2012

Authors:

Yan Chen, Qing Wu Wang, Quan Shan

Keywords:

Consistent Tangent Modulus, Constitutive Equation, Viscoplasticity

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References

[1] J.C. Simo, R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput, Methods Appl. Mech. Engrg. 48(1985) 101-118.

DOI: 10.1016/0045-7825(85)90070-2

Google Scholar

[2] J.C. Simo, T.J.R. Hunges, Elastoplasticity and viscoplasticity-Computational, Aspects (springer-Verlag) to be published.

Google Scholar

[3] D. Peric, On consistent stress rates in solid mechanics: Computational implications, Int. J. Number, Methods Engrg, 33(1992) 799-817.

Google Scholar

[4] D. Peric, D.R.J. Owen, M.E. Honnor, A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues, Comput. Methods Appl. Engrg. 94(1992) 35-61.

DOI: 10.1016/0045-7825(92)90156-e

Google Scholar

[5] J.C. Simo, R.L. Taylor, A return mapping algorithm for plane stress elastoplasticity, Int. J. Number. Methods Engrg. 22(1986) 649-670.

DOI: 10.1002/nme.1620220310

Google Scholar

[6] J.C. Nagtegaal, On the implementation of inelastic constitutive with special reference to large deformation problems, Comput. Methods Appl. Mech. Engrg. 33(1982) 469-484.

DOI: 10.1016/0045-7825(82)90120-7

Google Scholar

[7] M. Oritz, E.P. Popov, Accuracy and stability of integration algorithms of elastoplastic constitutive equations, Int, J. Number. Meth. Engrg 21(1985) 1561-1576.

DOI: 10.1002/nme.1620210902

Google Scholar

[8] R.H. Dodds, Numerical techniques for plasticity computations in finite element analysis, Comput. Struct. 26(1987) 767-779.

DOI: 10.1016/0045-7949(87)90026-5

Google Scholar

[9] Q. W. Wang, X. G. Yang, D. Q. Shi, Research on consistent tangent modulus for unified viscoplastic constitutive equations, J. of Aerospace Power, 22(2007)1898-(1902).

Google Scholar

[10] Cassenti, B.N. : Research, Development Program for the Development of Advanced Time-Temperature Dependent Constitutive Relastionships. Vol. I–Theoretical Discussion. NASA CR-168191-VOL-1, (1983).

Google Scholar