Dynamic analysis of magnetoelectroelastic materials with cracks under Impact loading

冲击载荷下裂纹磁电弹性材料的动态分析

• 批准号: 132812650
• 负责人: Professor Dr.-Ing. Chuanzeng Zhang
• 金额: --
• 依托单位: Lehrstuhl für Baustatik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2009
• 资助国家: 德国
• 起止时间: 2008-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/132812650?language=en
• 关键词: Dynamic; analysis; magnetoelectroelastic; materials; cracks

In this project, the dynamic properties of cracked magnetoelectroelastic materials and structures under mechanical, electrical and magnetic impact loading will be investigated. For this purpose, an accurate, efficient and high-performance time-domain boundary element method (BEM) will be developed. Based on the magnetoelectroelastic representation formulae, strongly singular and hypersingular time-dependent boundary integral equations and the corresponding dynamic fundamental solutions required will be first derived. For the numerical solution of the boundary integral equations, a novel time-stepping scheme will be implemented. For the temporal discretization the convolution quadrature or the collocation method will be adopted, while for the spatial discretization either the collocation method or the Galerkin-method will be used. The developed time-domain BEM should be able and suitable for the numerical simulation of magnetoelectroelasti materials and structures with arbitrary boundaries and crack configurations under mechanical, electrical and magnetic impact loading. In this project, two-dimensional (2D) stationary dynamic crack problems in both infinite and finite magnetoelectroelastic domains will be dealt with. In particular, the transient dynamic effects of the mechanical, electrical and magnetic impact loading, the effects of the magnetoelectroelastic coupling, and the influences of the different electromagnetic crack-face boundary conditions on the dynamic crack-tip characterizing parameters (near-field) as well as the propagation and scattering of the elastic waves (far-field) in cracked magnetoelectroelasticE materials and structures will be analyzed in details and systematically. In this renewal proposal, the research works conducted in the first funding period should be continued and advanced, and the remaining research works of the project should be conducted and completed. This renewal proposal is therefore necessary to achieve the main objectives of the project and to successfully conclude the project.

本计画将研究具裂纹之磁电弹性材料及结构在机械、电、磁冲击载荷下之动态特性。为此，一个准确的，高效的和高性能的时域边界元法（BEM）将被开发。基于电磁弹性表示公式，首先导出强奇异和超奇异的含时边界积分方程和相应的动力学基本解。对于边界积分方程的数值解，将实施一种新的时间推进方案。时间离散采用卷积求积法或配点法，空间离散采用配点法或伽辽金法。所建立的时域边界元法应能适用于具有任意边界和裂纹形状的磁电弹性材料和结构在力、电、磁冲击载荷作用下的数值模拟。在这个项目中，二维（2D）稳态动态裂纹问题在无限和有限磁电弹性域将被处理。特别地，机械、电和磁冲击载荷的瞬态动态效应，电磁弹性耦合的效应，研究了不同电磁裂纹面边界条件对动态裂纹尖端特征参数的影响（近场）以及弹性波的传播和散射本文将详细系统地分析裂纹电磁弹性材料和结构中的远场问题。 在这项续期建议中，在第一个资助期内进行的研究工作应继续进行和推进，而项目馀下的研究工作则应进行和完成。因此，为了实现项目的主要目标和顺利完成项目，有必要提出这一延长建议。