On a Problem of Thermal Stresses in the Theory of Cosserat Elastic Shells with Voids

摘要

We consider a problem of thermal stresses in cylindrical Cosserat elastic shells made from a material with voids. The cylindrical shells have arbitrary cross-sections. The problem consists in finding the equilibrium of the shell under the action of a given temperature distribution. We assume that the temperature field is independent of the axial coordinate and we determine a closed-form solution expressed in terms of the displacement vector and porosity field.