×

Mode III crack problem in a functionally graded magneto-electro-elastic strip. (English) Zbl 1126.74041

Summary: Considering the material properties to be one-dimensionally dependent, we study an anti-plane problem for an embedded crack and edge crack perpendicular to the boundary of a functionally graded magneto-electro-elastic strip. The crack is assumed to be either magneto-electrically impermeable or permeable. Integral transform and dislocation density functions are employed to reduce the problem to the solution of a system of singular integral equations. Numerical results show the effects of the loading combination parameter, material gradient parameter and crack configuration on the field intensity factors and on the energy release rates of the functionally graded magneto-electro-elastic strip.

MSC:

74R10 Brittle fracture
74F15 Electromagnetic effects in solid mechanics
74E05 Inhomogeneity in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI