Dynamic analysis of magnetoelectroelastic materials with cracks under Impact loading

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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.