Rigid Line Inclusions Couple-field Analysis In Magnetoelectric Materials

In recent years, magnetoelectroelastic material as a novel material has beenwidely applied in many fields ranging from aerospace over medical engineeringto military. It gradually attracts more attention to the related fields such asEngineering mechanics, materials science. Generally, magnetoelectroelasticmaterial is composited of piezoelectric/piezomagnetic. Due to the single-phasematerial is very brittle and easy to break, it is necessary to study the problemrelated to crack propagation in magnetoelectroelatic material under multi-fieldcoupled. In this paper, we mainly focus on the magnetoelectroelastic materialswith collinear rigid line inclusions under multi-field coupled fields. Ourresearches include the following three aspects:First, we employ the Stroh formalism in anisotropic elasticity to analysis thecoupled elastic, electric and magnetic fields for an infinite, anisotropicpiezoelectric medium with a rigid line inclusion and obtain the explicit real-formsolution on the boundary of the inclusion for coupled fields. Beside this, justselect a single rigid line inclusion, we analysis the half order singularity in thetip of field variable function. These results provide us the basic theory to solvethe mechanical, electrical and magnetic coupled field problem in anisotropicpiezoelectric material.Then, the collinear rigid line inclusions of either a dielectric andnon-magnetic or conductor and permeability have been considered underanti-plane deformation and in-plane electric field in piezoelectric materials byusing the complex variable method of Muskhelishvili and Liourille theory. Therigid line inclusions are considered and given further analysis, respectively, as adielectric, non-magnetic and conductor, permeability.Based on the above analysis, we consider the interaction between a screwdislocation and collinear rigid lines along the interface of two dissimilarpiezoelectric media under remote anti-plane mechanical and in-plane electricaland magnetic couple field. Similarly, the rigid line inclusions are considered,respectively, as a dielectric, non-magnetic and conductor, permeability. Resultspoint out that the rigid line inclusion on the interface has great impact on thedislocation moving. The series analysis of dislocation and interface defectioncaused by the interaction between rigid line inclusions not only help us to betterunderstanding of the Aggrandizement and sclerosis mechanism of composedmagnetoelectric material, but also can be employ as the damage criterion theory of the interface detects in composed magnetoelectric material.Based on our research, we find that, just considering the problem of rigidline inclusions in the material, the results of magnetoelectroelastic material issimilar to piezoelectric material. In this paper, we consider the electric andmechanical coupling fields as well as magnetic field in magnetoelectroelasticmaterial. Our conclusion not only has strong theoretical value, but also hasprofound significance to analyze the real problem.