Principle of correspondence of static boundary-value problems of nonlinear viscoelasticity with aging to boundary-value problems of the theory of elasticity

Abstract

The principle of correspondence of boundary-value problems of the nonlinear nonuniform anisotropic theory of viscoelasticity to boundary-value problems of the theory of elasticity is formulated. The correspondence is established by means of integral transforms with previously unknown kernels. A class of viscoelastic materials for which these transforms can be reduced to boundary-value problems of fictitious elasticity is determined.