Effective Stress and Strain in Finite Deformation

ZHOU Zhe; QIN Ling-li; HUANG Wen-bin; WANG Hong-wei

Volume 25 Issue 5

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ZHOU Zhe, QIN Ling-li, HUANG Wen-bin, WANG Hong-wei. Effective Stress and Strain in Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(5): 542-550.

Citation:

ZHOU Zhe, QIN Ling-li, HUANG Wen-bin, WANG Hong-wei. Effective Stress and Strain in Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(5): 542-550.

Citation:

ZHOU Zhe, QIN Ling-li, HUANG Wen-bin, WANG Hong-wei. Effective Stress and Strain in Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(5): 542-550.

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Effective Stress and Strain in Finite Deformation

Applied Mechanics Institute, China Agricultural University, Beijing 100083, P. R. China

Received Date: 2002-10-25
Rev Recd Date: 2003-12-18
Publish Date: 2004-05-15

Abstract

Abstract

Whether the concept of effective stress and strain in elastic-plastic theory is still valid under the condition of finite deformation was mainly discussed. The uni-axial compression experiments in plane stress and plane strain states were chosen for study. In the two kinds of stress states, the stress-strain curve described by logarithm strain and rotated Kirchhoff stress matches the experiments data better than the curves defined by other stress-strain description.
- finite deformation,
- plastic constitutive,
- effective stress,
- effective strain,
- volume invariability

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References

[1]	黄文彬、杨青春.杆件在大变形时的弹性系数[J].力学与实践,1996,18(6)：12—14.
[2]	黄文彬、杨青春.杆件有限变形时的泊松比[J].力学与实践,1997,19(3)：30—31.
[3]	徐春晖、黄文彬，王红卫,等.金属有限变形问题中应力应变的选择[J].中国农业大学学报,2000,5(4)：30—34.
[4]	Gurson A L.Continuum theory of ductile rupture by voidnucleation and growth—Part Ⅰ：Yield criteria and flow rules for porous ductile materials[J].ASME J Eng Mater Tech,1977,99(1)：2—15. doi: 10.1115/1.3443401
[5]	Miyamoto H,Kikuchi M,Kubo M.Some contribution to process zone fracture mechanics[J].Computational Mechanics,1990,6(2)：423—433. doi: 10.1007/BF00350422
[6]	Needleman A.A continuum model for void nucleation by inclusion debonding[J].J Appl Mech,1987,54(3)：525—531. doi: 10.1115/1.3173064