A Conservative Integral Independent of the Constitutive Relation

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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.

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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