Wave propagation in piezoelectric solids with multiple cracks under different electrical boundary conditions

基于多裂纹压电材料的动态断裂过程评价，提出了该方法。该分析可应用于PEM智能系统的工程设计和监控，满足日益增长的对高强度、高韧性、低热膨胀系数、低介电常数、耐腐蚀和耐磨性能的需求，并最终在制造和使用过程中降低故障率。本研究的目的是建立力学模型和BIEM工具来解决压电固体中多裂纹的波散射问题。求解方法是基于Radon变换导出的二维力学弹性动力学模型的基本解的非超奇异牵引BIEM。利用抛物型离散化和模拟广义近场渐近行为的特殊四分之一点边界元，将所开发的方法实现到BIEM软件中。为了评估这些重要的影响，将进行参数化研究：相互裂纹的几何结构和分布，加载频率，入射波的角度，入射波的类型和裂纹之间的动态相互作用现象对产生的动态和电slf，不同的电边界条件对多裂纹PEM断裂性能的影响。

The proposal is motivated by the dynamic fracture processes evaluation in piezoelectric materials (PEM) with multiple cracks. This analyze has application in engineering design and monitoring of smart and intelligent systems made of PEM, satisfying the increasing demand for high strength, high toughness, low thermal expansion coefficient, low dielectric constants, corrosion-resistance and wear-resistance properties and finally for lower failure rates during manufacturing and service processes. The aim of the present study is to create mechanical models and BIEM tools for solution of the wave scattering problems for multiple cracks in piezoelectric solids. The solution method is the non-hypersingular traction BIEM based on a fundamental solution derived by the Radon transforms for solution of the proposed 2D mechanical elastodynamics models. The implementation of the developed method into BIEM software using parabolic type of discretization and special quarter-point boundary elements that model asymptotic behavior of the generalized near-fields will be done. Parametric studies will be proceeded in order to evaluate such important effects as: geometry of the mutual cracks configuration and disposition, the loading frequency, the incident wave angle, the type of the incident wave and the dynamic interaction phenomena between cracks on the resulting dynamic and electric SlFs, the effect of the different electric boundary conditions on the fracture properties of the PEM with multiple cracks.