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首页> 外文期刊>Journal of applied mathematics >Oscillatory Singularity Behaviors Near Interface Crack Tip forMode II of Orthotropic Bimaterial
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Oscillatory Singularity Behaviors Near Interface Crack Tip forMode II of Orthotropic Bimaterial

机译:正交异性双材料II型界面裂纹尖端附近的振荡奇异行为

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摘要

The fracture behaviors near the interface crack tip for mode II of orthotropic bimaterial are discussed.The oscillatory singularity fields are researched.The stress functions are chosen which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions and linear independence, the system of twelve nonhomogeneous linear equations is derived. According to the condition for the system of nonhomogeneous linear equations which has a solution, the singularity exponent is determined. Total coefficients are found by means of successive elimination of the unknowns.The theoretical formulae of stress intensity factors and analytic solutions of stress field near the interface crack tip are obtained. The crack tip field is shown by figures.
机译:讨论了正交异性双材料II型界面裂纹尖端附近的断裂行为,研究了振动奇异场,选择了包含12个不确定系数和未知奇异指数的应力函数。根据边界条件和线性独立性,导出了十二个非齐次线性方程组。根据具有解的非齐次线性方程组的条件,确定奇异指数。通过逐步消除未知数求出总系数。得到了界面裂纹尖端附近应力强度因子的理论公式和应力场的解析解。裂纹尖端场用数字表示。

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