Analysis of residual stresses in thermoelastic multilayer cylinders

TL;DR

This paper develops an exact analytical model for residual stresses in multilayer thermoelastic cylinders, comparing it with finite element results and analyzing how material properties influence stress distribution during cooling.

Contribution

It introduces a novel exact solution for multilayer cylinder residual stresses considering perfect and imperfect contacts, advancing analytical modeling in thermoelastic structures.

Findings

Analytical solutions align well with finite element simulations.

Residual stress distribution depends on material properties and contact conditions.

Residual stresses significantly impact brittle materials like ceramics.

Abstract

The topic faced here is the modeling of an axisymmetric multilayer structure. An exact analytical formulation is proposed in the framework of the plane strain problem for a cylinder encircled by annular layers. Isotropic linear thermoelastic materials constitute the body. Perfect and imperfect contacts between the layers are made available for the analysis. The derived exact solution is compared to finite element simulations. Numerical applications are shown in order to study the dependency of the residual stress distribution on the constituent material properties during a cooling process. The role of residual stresses in brittle materials, particularly ceramics, is discussed.