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

该建议的动机是动态断裂过程的压电材料（PEM）的多裂纹评估。该分析可用于PEM智能系统的工程设计和监控，以满足对高强度，高韧性，低热膨胀系数，低介电常数，耐腐蚀和耐磨性能的日益增长的需求，并最终降低制造和服务过程中的故障率。本研究的目的是建立力学模型和BIEM工具，用于解决压电固体中多裂纹的波散射问题。求解方法是基于Radon变换的基本解的非超奇异牵引BIEM，用于求解所提出的2D机械弹性动力学模型。将使用抛物型离散化和特殊的四分之一点边界元来模拟广义近场的渐近行为，将所开发的方法实施到BIEM软件中。将进行参数研究，以评估这样的重要影响：几何形状的相互裂纹的配置和处置，加载频率，入射波的角度，入射波的类型和动态相互作用的现象之间的裂纹上产生的动态和电SLF，不同的电边界条件的断裂性能的PEM与多裂纹的效果。

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.