基于扩展无网格法的机电虚拟裂纹闭合法

为提高含裂纹压电材料断裂参数的求解效率和精度，基于扩展无网格理论，引入无网格辅助网格结合哑节点断裂压电单元,提出了基于扩展无网格法的机电虚拟裂纹闭合法。可很好地模拟裂纹尖端奇异性，简化求解过程，提高计算精度。并讨论了不同高斯点个数、不同裂纹长度对能量释放率计算结果的影响，与解析解和基于有限元法的机电虚拟裂纹闭合法计算结果进行了比较，数值算例结果表明本方法正确可行且具有较高的精度。

Electromechanical Virtual Crack Closure Technique Based on Enriched Element-free Galerkin Method

For improving the calculation precision of piezoelectric materials containing crack, the virtual crack closure technology were introduced into the background grid of element-free Galerkin method. Based on the theory of enriched element-free method, electromechanical virtual crack closure technique was put forward. The new approach well simulated the singularity at the crack tip, simplified the solving process, improved the calculation accuracy. The influence of the different number of gauss points and different length of crack on the calculation precision of the intensity factor was discussed. Compared with the analytical solution and numerical results of electromechanical-coupling virtual crack closure technique based on finite element method. Numerical example results illustrated that this method is feasible.