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Displacements caused by the temperature in multicomponent, multi-layered periodic material structures

Bagdasaryan V., Wągrowska M., Szlachetka O.

Mechanics and Mechanical Engineering

2018

Vol. 22, nr 3

809--819

The present study aims to analyse a two-dimensional problem of displacements in theory of thermal stresses for multicomponent, multi-layered periodic composites. The model equations are obtained within the framework of the tolerance modelling procedure. These equations allow to determine the distribution of displacements caused by the temperature field in the theory of thermal stresses. The paper presents an example of a solution of a boundary value problem.

Axisymmetric thermal stresses in a half-space in the framework of fractional thermoelasticity

Povstenko Y.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2014

Vol. 19

207--216

A theory of thermal stresses based on the time-fractional heat conduction equation is considered. The Caputo fractional derivative is used. The fundamental solution to the axisymmetric heat conduction equation in a half-space under the Dirichlet boundary condition and the associated thermal stresses are investigated.