双相介质半空间椭圆形夹杂与直线裂纹对SH波的散射

发布时间：2018-06-18 10:54

本文选题：双相介质半空间 + 椭圆形夹杂　；参考：《振动与冲击》2017年11期

【摘要】：利用Green函数法、复变函数法和保角映射法研究了双相介质半空间存在直线裂纹与椭圆形夹杂组成的复合缺陷对SH波的散射问题并给出了解析解。采用保角映射法将椭圆形夹杂外域映射为单位圆外域并利用镜像叠加原理构造了一个能自动满足直角域两个直线边界应力自由边界条件的散射位移场。利用裂纹"切割"技术构造区域I中的直线裂纹,并根据弹性叠加原理得出直角域中同时存在裂纹与椭圆形夹杂时的位移场和应力场。采用"契合"法在界面上添加未知的外力系以满足界面上的应力和位移连续性条件,根据连续性条件建立求解未知力系的定解积分方程组,并通过截断有限项求解。具体算例给出了不同参数条件下椭圆形夹杂的动应力集中系数分布情况,结果表明裂纹将对椭圆形夹杂的动应力集中系数的分布产生影响。
[Abstract]:Using Green's function method, complex variable function method and conformal mapping method, the scattering problem of SH waves by composite defects with linear cracks and elliptical inclusions in half-space of two-phase medium is studied and an analytical solution is given. Using the conformal mapping method, the elliptical inclusion outer domain is mapped to the unit circle outer domain, and a scattering displacement field which can automatically satisfy the stress free boundary conditions of two straight line boundaries in the right angle domain is constructed by using the principle of image superposition. Using the technique of crack "cutting" to construct the linear crack in region I, and according to the principle of elastic superposition, the displacement field and stress field are obtained when the crack and the elliptical inclusion exist simultaneously in the right angle domain. In order to satisfy the continuity condition of stress and displacement on the interface, the "fit" method is used to add the unknown external force system to the interface. According to the continuity condition, the definite solution integral equations of the unknown force system are established and solved by truncating the finite term. The distribution of dynamic stress concentration coefficient of elliptical inclusions under different parameters is given. The results show that cracks will affect the distribution of dynamic stress concentration factors of elliptical inclusions.
【作者单位】：哈尔滨工程大学航天与建筑工程学院;
【基金】：黑龙江省自然科学基金(A201404)
【分类号】：O347.41

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