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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Stress Intensity Factor for Interface Cracks in Bimaterials Using Complex Variable Meshless Manifold Method
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Stress Intensity Factor for Interface Cracks in Bimaterials Using Complex Variable Meshless Manifold Method

机译:复变量无网格流形方法计算双材料界面裂纹的应力强度因子

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摘要

This paper describes the application of the complex variable meshless manifold method (CVMMM) to stress intensity factor analyses of structures containing interface cracks between dissimilar materials. A discontinuous function and the near-tip asymptotic displacement functions are added to the CVMMM approximation using the framework of complex variable moving least-squares (CVMLS) approximation. This enables the domain to be modeled by CVMMM without explicitly meshing the crack surfaces. The enriched crack-tip functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The complex stress intensity factors for bimaterial interfacial cracks were numerically evaluated using the method. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.
机译:本文介绍了复杂变量无网格流形方法(CVMMM)在不同材料之间包含界面裂纹的结构的应力强度因子分析中的应用。使用复变量移动最小二乘(CVMLS)近似框架将不连续函数和近端渐近位移函数添加到CVMMM近似中。这样就可以通过CVMMM对区域进行建模,而无需显式划分裂缝表面。选择丰富的裂纹尖端函数作为跨越界面裂纹渐近位移场的函数。使用该方法对双材料界面裂纹的复合应力强度因子进行了数值评估。数值结果与基准界面裂纹问题的参考解决方案之间实现了良好的一致性。

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