Study on a two-dimensional generalized magneto- thermoviscoelastic problem subjected to ramp-type heating
坡形加热下的二维广义磁热黏弹性问题研究

In this paper, a two-dimensional problem of magneto-thermoviscoelasticity with relaxation time in a perfectly conducting medium is studied. With Laplace transform (for time variable) and Fourier transform (for one space variable), the exact expressions for field quantities are obtained in the transformed domain. The resulting formulations are applied to a semi-space problem subjected to ramp-type heating at the surface. Using numerical inverse method, the results are obtained and shown graphically when the acrylic plastic material is considered. Also a comparison is made between the results obtained using the generalized thermoviscoelastic theory and those obtained using the conventional thermoviscoelstic theory and thermoelastic theory.