改进无网格法求解断裂力学参数

结合无网格法(element free galerkin,EFG)和单位分解思想的特点,在不连续位移模式中引入跳跃函数和渐进位移场函数对无网格法进行改进,建立不连续近似函数的离散方程,求解裂尖附近的场变量,研究了改进无网格中参数选取对I型裂纹应力强度因子的影响,验证了改进无网格法的可靠性和精确性。

Improved meshless method to solve the stress intensity factor

Based on the meshless method （element free galerkin,EFG）and the thoughts of partition of unity,jump function and gradual displacement field function in the discontinuous displacement mode are introduced to improve the meshless method.The discrete equation of discrete approximation function is set up to solve the near crack tip field variables.The effect of improved meshless parameters selection on the stress intensity factors of mode I crack is studied,and the reliability and accuracy of the im-proved meshless method have been verified.