二维广义J积分

 本文从总位能差率出发推导出了在非均匀温度场中承受面力与体力的变厚度板的广义J积分,并证明了广义J积分的守恒性。

A GENERALIZED J-INTEGRAL OF TWO DEMENSIONS

We have derived a new generalized J-integral under the following conditions!1.The plates have variable thickness t;2.There are not only surface forces Si but also body forces Bi actingon the plates;3.The temperature distributions T are non-uniform in the plates. This work can be summarized into the followings:a . The generalized J-integral can be defined asb . According to the above definition, the generalized J-integral has the property of path-independence.c . By means of the above property, the generalized J-integral is equal to the energy release rate of the system.d . In consideration of the above equality, we can apply the generalized J-integral to determining the stress intensity factors when the nodal point displacements have been calculated by the conventional finite element method in linear elastic fracture mechanics.e . It is proposed that the generalized J-integral be used to establish the fracture criterion and crack propagation law in elasto-plastic fracture mechanics.f . Rice J-integral is a special case of the generalized J-integral.