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Dynamic Wave Propagation in Fiber Reinforced Piezoelectric Composites with Cracks

机译:纤维增强压电复合材料中的动态波传播

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This paper presents the transient dynamic analysis of micro-cracks of arbitrary shape in two-dimensional, linear piezoelectric fiber reinforced composite materials. Interface cracks between fiber and matrix as well as cracks inside the matrix and fibers are investigated. For this purpose, a symmetric Galerkin time-domain boundary element method in conjunction with a multi-domain technique is developed. The time-domain fundamental solutions for linear piezoelectric materials are applied. The time discretization is performed by a collocation method. An explicit time-stepping scheme is obtained to compute the discrete boundary data including the generalized crack-opening-displacements (CODs). Iterative solution algorithms are implemented to solve the nonlinear semi-permeable electrical crack-face boundary conditions and for a crack-face contact analysis at time-steps when a physically unacceptable crack-face intersection occurs. Several numerical examples are presented to reveal the influences of the micro-cracks, the material combinations and the transient dynamic loading on the intensity factors and the scattered wave fields.
机译:本文介绍了二维线性压电纤维复合材料的二维形状微裂纹的瞬态动力学分析。研究了纤维和矩阵之间的界面裂缝以及基质和纤维内的裂缝。为此目的,开发了一种与多域技术结合的对称Galerkin时域边界元件方法。应用线性压电材料的时域基础解决方案。时间离散化由搭配方法执行。获得显式的时间阶梯方案以计算包括广义开裂开口位移(COD)的离散边界数据。实施迭代解决方案算法以解决非线性半透可电裂纹 - 面界条件和当发生物理不可接受的裂缝面的交叉点时的时间步骤裂缝 - 面接触分析。提出了几个数值示例以揭示微裂纹,材料组合和瞬态动态负载对强度因子和散射波场的影响。

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