不受本构关系限制的守恒积分
A Conservative Integral Independent of the Constitutive Relation
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摘要: Rice定义的J积分受介质本构关系的限制.本文对J积分的Rice定义加以推广,提出不受介质本构关系限制的守恒积分,并证明其具有通常J积分的性质.在弹性介质情况下,这种推广的守恒积分就是Rice定义的J积分.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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[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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