用J积分计算平端刚性压头Ⅰ型触压应力强度因子

The Computing Method of I-Mode Stress-Intensity Factor of Rigid Square-Ended Punch Using J-Integral

采用有限元法对平端的刚性压头压在半无限大的弹性平面上进行非线性接触分析,应用有限元分析软件ANSYS建模,计算围绕压头端点的J积分值,通过数值计算证明其守恒性,再根据J积分与I型触压应力强度因子(KI)的关系得到KI。数据结果表明,由J积分方法计算的KI与理论值一致。最后应用J积分理论计算了有限厚度的板在刚性压头作用下的应力强度因子。

Using finite element method, the nonlinear contact between a rigid punch and a elastic half plane was analyzed. Through modeling and computing with ANSYS, the value of J - integral around the edge of the punch was obtained. The conservation of J-integral was certificated by series of data. And the contact stress intensity factor （K1） was gained through the relation between the J- integral and the K1. The results indicate that the K1 by J-integral was in accord with the theoretical value. At last the K1 of elastic plane with different thickness was calculated by the theory of J-integral.