A Microscopic Damage Model Considering the Change of Void Shape and Application in the Void Closing

Zhu Ming; Jin Quan-lin

Volume 13 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(8): 729-736

Zhu Ming, Jin Quan-lin. A Microscopic Damage Model Considering the Change of Void Shape and Application in the Void Closing[J]. Applied Mathematics and Mechanics, 1992, 13(8): 729-736.

Citation:

Zhu Ming, Jin Quan-lin. A Microscopic Damage Model Considering the Change of Void Shape and Application in the Void Closing[J]. Applied Mathematics and Mechanics, 1992, 13(8): 729-736.

Citation:

Zhu Ming, Jin Quan-lin. A Microscopic Damage Model Considering the Change of Void Shape and Application in the Void Closing[J]. Applied Mathematics and Mechanics, 1992, 13(8): 729-736.

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A Microscopic Damage Model Considering the Change of Void Shape and Application in the Void Closing

Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing

Received Date: 1991-07-29
Publish Date: 1992-08-15

Abstract

Abstract

A microscopic damage model of ellipsoidal body containing ellipsoidal void for nonlinear matrix materials is developed under a particular coordinate. The change of void shape is considered in this model. The viscous restrained equation obtained from the model is affected by stress ∑_ij, void volume fraction f, material strain rate exponent m as well as the void shape. Gurson's equation is modified from the numerical solution. The modified equation is suitable for the case of nonlinear matrix materials and changeable voids. Lastly, the model is used to analyze the closing process of voids.
- nonlinear material,
- ellipsoidal void,
- void shape,
- void closing

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References(6)

References

[1]	Gurson, A. L., Continuum theory of ductile rupture by void nucleation and growth, Part Ⅰ, Yield criteria and flow rules for porous ductile media, J. Eng. Mater. Tech., 98(1977), 2.
[2]	Yamamoto, H., Conditions for shear localization in the ductile fracture of void-containing materials, Int. J. Fracture, 347(1978), 14.
[3]	Aravas, N., The analysis of void growth that leads to central burst during extrusion, J. Mech. Phys. Solids, 34(1986), 55.
[4]	Tvergaard, V., Influence of void on shear band instabilities under plane strain conditions, Int. J. Fracture, 17(1981), 389.
[5]	王自强、秦嘉亮,含空洞非线性材料的本构势和空洞扩展率,固体力学学报,(2)(1989), 127
[6]	Zhu Ming and Jin Quan-lin, A constitutive relation for materials containing voids and application in closing of voids, Advances in Constitutive Laws for Engineering Materials, Ed. by Fan Jing-hong and Sumio Murakami, Pergamon Press, Oxford(1989), 542.

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