Numerical Solutions of Singular Integral Equations for Planar Rectangular Interfacial Crack in Three Dimensional Bimaterials
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摘要: 基于体积力法,研究了双材料接合半无限体三维矩形界面裂纹的应力强度因子问题.在数值计算中,未知的体积力密度采用基本密度函数和多项式乘积的形式来近似,其中基本密度函数是根据界面裂纹应力的振荡奇异性来选取的.计算结果表明,基于本算法得到的数值结果其收敛精度和计算误差都是令人满意的.算例中,给出了应力强度因子随矩形形状及双材料参数的变化规律.Abstract: Stress intensity factors for a three dimensional rectangular interfacial crack are considered on the idea of the body force method.In the numerical calculations,unknown body force densities were approximated by the products of the fundamental densities and power series.Here the fundamental densities were chosen to express singular stress fields due to an interface crack exactly.The calculation shows that the present method gives rapidly converging numerical solutions and highly satisfied boundary conditions.The stress intensity factors for a rectangular interface crack are indicated accurately with varying the aspect ratio and bimaterial parameter.
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