Analytical solutions of problems of thermoelasticity for multilayered bodies with variable properties

Abstract

The technics for the construction of approximate analytical solutions for the quasistatic problems of thermoelasticity (plane-stressed state, plane deformation) for the multilayered bodies with variable within limits of each layer physical properties of medium. The recursive method is used for the construction of systems of coordinate functions, satisfying the boundary matching conditions, given as the equality of radial (normal) stresses and displacements in the layer-contact points.

Keywords

• multilayer constructions
• analytical solution
• thermoelasticity problem
• environmental variable physical properties
• system of coordinate functions
• bubnov–galyorkin orthogonal method