基于EFG法复合型裂纹扩展的数值模拟研究
Numerical Simulation Research of Mixed-mode Crack Propagation
本文基于无网格伽辽金方法,通过完全变换法施加本质边界条件,利用断裂力学中M积分的路径无关特性,给出裂纹扩展数值模拟的一种有效的无网格伽辽金方法。采用奇异基函数,对单边裂纹矩形板受远场剪切荷载作用下的应力强度因子进行模拟计算,运用最大周向应力准则对 - 型复合裂纹的扩展进行跟踪模拟。算例表明,本文方法能有效避免通用有限元方法中网格重划所带来的负担,简化裂纹扩展的分析过程。
Based on Element-free Galerkin method, the essential boundary condition was implemented through full transformation method. By using the property of path-independent of M integral in the fracture mechanics, an efficient EFG method for numerical simulation of mixed-mode crack was proposed. Adopting the singular basis function, the stress intensity factors of single edge-crack plate under the far-field shear load was calculated, then the - mode crack propagation was simulated based on the maximal circumferential stress criterion. The burdensome of remeshing required by finite element method, the numerical example shows, is avoided and the simulation of crack propagation can be simplified as well.
曾维栋、龚曙光、潘志浩
工程基础科学
裂纹扩展无网格伽辽金方法应力强度因子完全变换法M积分
rack PropagationElement-free Galerkin MethodStress Intensity FactorFull Transformation MethodM Integral
曾维栋,龚曙光,潘志浩.基于EFG法复合型裂纹扩展的数值模拟研究[EB/OL].(2009-05-14)[2025-06-03].http://www.paper.edu.cn/releasepaper/content/200905-359.点此复制
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