动态J积分及Rice J积分一致性比较与分析

Coincidence of Dynamical J-integral with Rice J-integral

首先回顾了动态J积分的发展进程,然后给出了两种常用动态J积分和Rice J积分的数学计算式,并对它们的一致性加以讨论,由此提出一种广义J积分的定义。然后通过算例,基于ANSYS软件,建立平面应变情形下纯I型中心裂纹模型,并利用编写的APDL程序计算了各个J积分,通过结果比较,进一步验证了在动态加载条件下,动态J积分比Rice J积分具有更好的路径守恒性,但仍可以看出它们的取值具有一定的一致性。最后,通过J积分间接法和裂尖位移外推法分别计算裂纹动态应力强度因子,所得结果吻合很好,验证了编写程序的正确性。

The formulations of the two kinds of dynamic J-integrals are presented, and compared with the Rice J-integral to propose a general J-integral. A case of a crack under the plate strain conditions is taken to evaluate various J-integrals, the resuts comparatively indicate that dynamic J-integral is endowed with better path-independence, while Rice J-integral remains consistent with the dynamic J-integrals in magnitude. The dynamic stress intensity factor is calculated according to the abore J-integrals.