Transient coupled magnetothermoelastic problem of multilayered hollow cylinder subjected to magnetic and vapor fields

Abstract

This paper deals three-dimensional axisymmetric quasistatic-coupled magnetothermoelastic problems for time-dependent boundary condition. The water vapor temperature and pressure relation is assumed for the inner boundary. The water vapor temperature and pressure data were obtained from a thermodynamic steam table. Laplace transform and finite difference methods are used to analyze problems. The solution is obtained by using the matrix similarity transformation and inverse Laplace transform. We obtain solutions for the temperature and thermal deformation distributions in a transient and steady state. Moreover, the computational procedures established in this thesis, can solve the generalized magnetothermoelasticity problem for multilayered hollow cylinder with nonhomogeneous materials.