Transient analysis of multilayered magneto-electro-thermoelastic strip due to nonuniform heat supply

摘要

This paper is concerned with the theoretical analysis of the multilayered magneto-electro-thermoelastic strip due to unsteady and nonuniform heat supply in the width direction. The transient two-dimensional temperature is analyzed by the methods of Laplace and finite sine transformations. We obtain the exact solution for the simply supported and multilayered magneto-electro-thermoelastic strip under a plane strain state. As an example, numerical calculations are carried out for a three-layered composite strip constructed of piezoelectric and magnetostrictive materials and the numerical results for temperature change, displacement, stress, electric potential, and magnetic potential distributions in a transient state are shown in figures and tables. The displacement and stress distributions are compared with those obtained for a similar thermoelastic strip. Furthermore the effects of the span-to-thickness ratio on the temperature change, displacements, stresses, electric potential, and magnetic potential are investigated.