The article presents the derivation of equations describing the pre-buckling behavior of three-layer rods in the presence of shear deformation and creep of the middle layer. The test problem for a rod with a filler made of polyurethane foam is solved. A technique has been developed for calculating the critical time under loads which values exceed the long critical ones.

The article presents the derivation of the resolving equations for the calculation of three-layer cylindrical shells under axisymmetric loading, taking into account creep. The problem is reduced to a system of two ordinary differential equations. The solution is performed numerically using the finite difference method in combination with the Euler method.