ABSTRACT

In this paper, a homogeneous linear elastic half-plane model cluttered with multiple embedded arbitrarily-shaped inclusions is presented. The model was built based on the time-domain boundary element method established via the half-space Green’s functions, subjected to propagating obliquely incident SH-waves. Using this method, the discretization was performed only on the interfaces. The full-contact posture was assumed between the inclusions and the surrounding domain. First, the problem was disintegrated into two parts including a multi-pitted half-plane and a system of randomly shaped closed filled solids. Then, by applying the method to each part, the influence coefficients of the matrices were obtained. Finally, to form a coupled equation for determining unknown boundary values in each time-step, the boundary/continuity conditions were satisfied on the interfaces. By implementing the method in an advanced developed algorithm, its efficiency was investigated by comparing the responses with those of the published works. To complete the obtained results, the synthetic seismograms and three-dimensional amplification patterns of the surface were presented. Also, some snapshots were illustrated to reveal the dispersion of the waves. The proposed method is a powerful tool for modeling various structures at the nano-scale and can be recommended to engineers for transient analysis of composite materials.

摘要

本文提出了一种含有多个嵌入任意形状夹杂物的均匀线弹性半平面模型。该模型是基于通过半空间格林函数建立的时域边界元方法建立的，并受到传播的倾斜入射SH波的影响。使用这种方法，离散化只在接口上进行。夹杂物与周围区域之间假定为完全接触姿势。首先，该问题被分解为两部分，包括一个多点半平面和一个随机形状的封闭填充固体系统。然后，将该方法应用于各个部分，得到矩阵的影响系数。最后，形成一个耦合方程来确定每个时间步的未知边界值，在界面上满足边界/连续性条件。通过在先进的开发算法中实施该方法，通过将响应与已发表作品的响应进行比较来研究其效率。为了完成所获得的结果，给出了地表的合成地震图和三维放大模式。此外，还展示了一些快照以揭示波浪的分散。所提出的方法是在纳米尺度上对各种结构进行建模的强大工具，可以推荐给工程师进行复合材料的瞬态分析。给出了地表的合成地震图和三维放大模式。此外，还展示了一些快照以揭示波浪的分散。所提出的方法是在纳米尺度上对各种结构进行建模的强大工具，可以推荐给工程师进行复合材料的瞬态分析。给出了地表的合成地震图和三维放大模式。此外，还展示了一些快照以揭示波浪的分散。所提出的方法是在纳米尺度上对各种结构进行建模的强大工具，可以推荐给工程师进行复合材料的瞬态分析。