Axisymmetric Viscoelastic Stress and Creep Deformation in Laminated Hollow Hemisphere Composed of Viscoelastic Body and Nonhomogeneous Elastic Body

Abstract

Viscoelastic stresses and creep deformations in the laminated hollow hemisphere composed of a viscoelastic body and a nonhomogeneous elastic body are analyzed using integral forms of stress-strain constitutive relations and based on the correspondence principle between the Laplace transformed viscoelastic solution and the analytic solution for the corresponding elastic problem. The analytic solution for elastic problem is formulated in terms of Papkovich-Neuber displacement function, and the Laplace transformed stresses and deformations of viscoelastic hollow hemisphere are obtained through the replacement of the elastic moduli by the Laplace transformed viscoelastic relaxation functions. The inverse Laplace transform of the solution is performed by Hosono's method of numerical inverse Laplace transformation.