受拉圆孔两侧裂纹扩展的EFG动态模拟

EFG dynamic simulation of sided crack growth

简要介绍了基于移动最小二乘法(简称MLS)近似的无网格法,针对平面圆孔带有两侧对称裂纹在拉载荷作用下裂纹扩展问题,提出了无网格伽辽金算法,并对受拉圆孔两侧裂纹扩展的EFG动态模拟做了详细的实例分析。在断裂问题的基函数方面,给出了目前具有代表性的理论;权函数对问题的求解效率和精度影响很大,给出了三种权函数结合的函数;通过算例,对有限元和无网格方法进行了比较,验证了权函数选取的合理性,无网格方法在求解断裂问题比有限元的有明显的优势。

Based on MLS approximated meshless method is presented, The Element-free Galerkin Method is introduced aiming at crack growth problems of plane circular hole with symmetrical cracks at two sides under tension. EFG dynamic simulation of sided crack growth is made and particle analysis of practical example is also presented. In this paper a representative similar function and weight function are given, those functions play an important role in results. Through the example the element finite method and meshless method are compared, proving the meshless method is very convenient for crack problem.