J(τ_0γ_0/(x_1x_2))行列式与弹塑性J积分不守恒的理论与实验证明

• 作 者: 刘叔仪
• 机 构: 中国科学技术大学化学物理教研室
• 出 处: 金属学报
• 发表日期: 1977年Z1期
• 关键词: 积分 x_1x_2 行列式 函数行列式 脆性断裂判据 不守恒 塑性断裂 守恒性 积分路径 旋度

作为固体脆性断裂判据的J积分,其数值与其积分路径无关,这在文献中叫“守恒性”。这个守恒性已被推广到塑性断裂,这到底有否根据?本文目的是作这个问题的证明。未用原作者的方法,但由两个旋度判据得到应力应变函数行列式给出的一些否定结论,希望这对J积分应用条件的了解有所助益。1.弹塑性J积分守恒的条件J积分

The J integral, which is a criterion of solid brittle fracture, has a value independent of its integration path, which is called “conservation” in the literature. This conservation has been extended to plastic fracture, whether in the end basis? The purpose of this paper is to prove this issue. The original author’s method is not used, but some of the negative conclusions given by the determinant of the stress-strain function are obtained from the two curl criteria. I hope this helps to understand the application conditions of J-integral. 1. Elastic and plastic J integral conservation conditions J integral