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Dynamic analysis of a cracked magnetoelectroelastic medium under antiplane mechanical and inplane electric and magnetic impacts. (English) Zbl 1142.74014

Summary: The transient analysis of a magnetoelectroelastic medium containing a crack is made under antiplane mechanical and inplane electric and magnetic impacts. The crack is assumed to penetrate through the solid along the poling direction. By using Fourier and Laplace transforms, the associated mixed boundary value problem is reduced to a Fredholm integral equation of the second kind, which is solved numerically. By means of a numerical inversion of Laplace transform, dynamic field intensity factors are obtained in time domain. Numerical results are presented graphically to show the effects of material properties and applied electric and magnetic impacts on the dynamic intensity factors of COD and stress, and dynamic energy density factors. The results indicate that, except for the intensity factors of electric displacement and magnetic induction, other field intensity factors exhibit apparent transient feature. Moreover, they depend strongly on mechanical input as well as on electric and magnetic impacts.

MSC:

74F15 Electromagnetic effects in solid mechanics
74M20 Impact in solid mechanics
74R10 Brittle fracture
74H35 Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics
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