The Interaction Of Magnetoelectroelastic Solids With Dislocation And Interfacial Defects

The magneto-electro-elastic interaction of dislocation and interfacial defects is a greatly significative subject in the fields of solid mechanics and materials science. The interaction effects between collinear interfacial cracks or rigid lines inclusions and a screw dislocation located in a magneto-electro-elastic solid under remotely anti-plane mechanical and uniform in-plane electro-magnetic loadings and under the different electric boundary conditions in linear magneto-electro-elastic materials are dealt with in this paper.Using Riemann-Schwarz's symmetry principle of complex functions, the above problems are transformed into Riemann- Hilbert boundary problems. By combining the analysis of singularity of complex functions, generalized Liouville's theorem, Cauchy model integral and residue theorem, the general solutions of above problems are presented. For special example, the closed form solutions for complex potentials in matrix and inhmogeneity regions are derived explicitly when interface containing single impermeable/permeable/conducting crack or conducting rigid line, and the appropriate expressions of the intensity factors at the tip of impermeable/permeable/ conducting crack or conducting rigid line are examined. Applying perturbation technique, the image force on dislocation is obtained when dislocation located arbitrary point. The variation of screw dislocation forces for correlative material parameters and different radians of crack or rigid line and the point of dislocation is discussed particularly. The result of this paper could not only be considered as mechanics model of practical problems, and also the corresponding solution under the interfacial deformations or distributed load can be derived if being used as the Green's function. As the special case of this paper, it contains several existing solutions in this paper.The whole paper consists of five chapters. In the first chapters, the development and history of composite materials as well as investigations at the present time is depicted briefly, at the same time the study of magneto-electro-elastic interaction of dislocation problem for the inclusion is gave, finally it summarized the primary content and significance of the studies. In the second chapter,The interaction effects of between collinear interfacial impermeable cracks and a screw dislocation located in a magneto-electro-elastic solid under remotely anti-plane mechanical and uniform in-plane electro-magnetic loadings is derived. In the third chapter,The interaction...