Tsviatko V. Rangelov, Yonko D. Stoynov, Petia S. Dineva
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引用次数: 0
摘要
研究了在时谐 SH 波作用下,包含两条直线或曲线裂缝的与深度有关的指数分级磁电弹性(MEE)半平面。沿裂缝边界的边界积分方程(BIE)描述了所定义的力学问题。基于非褶皱牵引边界积分方程法(BIEM)的计算工具被开发、验证并插入到数值模拟中。它基于分析推导的格林函数和指数分级 MEE 半平面的自由场波运动解决方案。数值分析了广义应力强度因子 (SIF) 对材料梯度参数、动态载荷特性、裂缝位置及其形状、裂缝之间以及裂缝与半平面边界之间的动态相互作用的依赖性。
Wave scattering in a cracked exponentially graded magnetoelectroelastic half‐plane
An exponentially graded with respect to depth magnetoelectroelastic (MEE) half‐plane containing two line or curvilinear cracks under time‐harmonic SH wave is studied. The defined mechanical problem is described by boundary integral equations (BIEs) along the cracks boundaries. The computational tool based on the non‐hypersingular traction boundary integral equation method (BIEM) is developed, verified and inserted in numerical simulations. It is based on the analytically derived Green's function and free‐field wave motion solution for exponentially graded MEE half‐plane. The dependence of the generalized stress intensity factors (SIFs) on the material gradient parameters, on the dynamic load characteristics, on the cracks position and their shape, on the dynamic interaction between cracks and between them and half‐plane boundary is numerically analyzed.