Mode III crack problem in a functionally graded magneto-electro-elastic strip

Abstract

Considering the material properties to be one-dimensionally dependent, this paper studied 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 the energy release rates of the functionally graded magneto-electro-elastic strip.

Dynamic behavior of cracked magnetoelectroelastic composites at different boundary conditions

“…The electric and magnetic fields are potential and the problem is two-dimensional (the material properties are the same in all planes perpendicular to the axis of symmetry). The constitutive equations in this case are [3,5] …”

“…x y u y n y d y (5) Here x is the observation point, x , y is the integration variable (also called collocation point), ij is the Kronecker symbol, * QK u is the fundamental solution, [6]). The stress concentration near crack tips is computed using the formula:…”

Thermal contact of magneto-electro-elastic materials subjected to a conducting flat punch

“…1,2 Due to this reason, these materials have found numerous applications in the smart devices and engineering practices, such as actuators, electronic packaging, sensors, ultrasonic generators and electronic instrumentations. In the open literature, a large amount of theoretical researches and analyses have also been associated with their coupling characteristics, [3][4][5] static structural behaviors [6][7][8][9] and other attractive topics such as vibration and wave propagation, 10-13 fracture [14][15][16][17] and Green's functions. [18][19][20][21] In the aforementioned engineering applications, the MEEM and multiferroic devices may be squeezed by other rigid components or deformable structural pieces so that the high concentrations of mechanical stresses and electro-magnetic fields can take place in the contact region where the possible contact damages and microcracks may appear.…”

A Modified Strip-Yield-Saturation-Induction Model Solution for Cracked Piezoelectromagnetic Plate

“…Wang and Mai [11] discussed different electromagnetic boundary conditions on permeable and impermeable crack faces in 2 International Journal of Engineering Mathematics a MEE material. Ma et al [12] addressed an antiplane problem of a functionally graded MEE strip containing an internal or edge permeable/impermeable crack lying transversely to the edges of the strip. A mixed boundary value problem was solved by Zhong and Li [13] for a crack in MEE solid.…”