A Conservative Integral Independent of the Constitutive Relation

Zhang Pei-yuan

Volume 3 Issue 1

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(1): 125-130

Zhang Pei-yuan. A Conservative Integral Independent of the Constitutive Relation[J]. Applied Mathematics and Mechanics, 1982, 3(1): 125-130.

Citation:

Zhang Pei-yuan. A Conservative Integral Independent of the Constitutive Relation[J]. Applied Mathematics and Mechanics, 1982, 3(1): 125-130.

Citation:

Zhang Pei-yuan. A Conservative Integral Independent of the Constitutive Relation[J]. Applied Mathematics and Mechanics, 1982, 3(1): 125-130.

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A Conservative Integral Independent of the Constitutive Relation

Zhang Pei-yuan

Chongqing University, Chongqing

Received Date: 1981-06-01
Publish Date: 1982-02-15

Abstract

Abstract

The J-integral defined by Rice depends on the constitutive relation of mediums. In the present paper, a conservative integral independent of the constitutive relation of mediums is defined in order to extend Rice's definition of the J-integral which depends on the constitutive relation. Its main properties which are similar to those of the prevailing J-integral are proved. In the case of the elastic mediums, the extensive conservative integral is the same with Rice's J-integral.

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References(7)

References

[1]	Rice,J.R.,J,Appl.Mech.,Trans,ASME.35(1968),379.
[2]	Sumpter,J.G.,Turner,C.E.,Intern.J,Fract.,9(1973).320.
[3]	欧阳誉,用增量法求解非线性断裂力学问题,北京断裂力学交流会第二次会议文集,(1977),277.
[4]	王自强,I积分和弹塑性断裂准则,(同上),363.
[5]	Kaeaaoa,JI.M.,《塑性理论基础》,(1959),61.
[6]	高玉臣,力学学报,(1980),48.
[7]	Rice,J.R.,Liebowitz,H.,(ed,) Fracture,2(1973).210.

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