Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models

doi:10.1007/s10483-019-2504-6

Abstract

Abstract: The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-lag (DPL) model. The analytical solutions for the displacements, stresses, temperature, diffusion concentration, and volume fraction field with different values of the magnetic field, the rotation, the gravity, and the initial stress are obtained and portrayed graphically. The results indicate that the effects of gravity, rotation, voids, diffusion, initial stress, and electromagnetic field are very pronounced on the physical properties of the material.

Key words: quasistatically propagating crack, crack line, elastic-plastic boundary, precise solutions, voids, rotation, initial stress, Lord-Shulman (L-S) model, dual-phase-lag (DPL) model, normal mode analysis, electromagnetic field, gravity field, diffusion

2010 MSC Number:

76F02

S. M. ABO-DAHAB, A. M. ABD-ALLA, A. A. KILANY. Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1135-1154.

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