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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


Complex Potentials and Integral Equations for Thermoelasticity Problem of Orthotropic Cracked Plate

Complex Potentials and Integral Equations for Thermoelasticity Problem of Orthotropic Cracked Plate

Panagiota Lalou
School of Engineering, Aspropyrgos Merchant Academy, Aspropyrgos, Greece. Greece.

Ioannis S. Triantafyllou
Department of Statistics & Insurance Science, University of Piraeus, Piraeus, Greece.

DOI https://doi.org/10.33889/IJMEMS.2022.7.6.055

Received on January 19, 2022
  ;
Accepted on July 17, 2022

Abstract

In the present article, the plane thermoelasticity problem of an infinite orthotropic cracked plate, is studied. The interaction between thermal and mechanical field, in a plate containing a crack and a heat source is investigated. The plate is submitted to normal stresses at infinity, where a heat flow is also activated. Applying the complex potentials method and the technique of Cauchy integrals, a system of singular integral equations is obtained. These equations, allow the determination of the temperature’s distribution, but also of the stress state at any point of the medium.

Keywords- Thermoelasticity, Orthotropic plate, Crack, Complex potentials, Integral equations.

Citation

Lalou, P., & Triantafyllou, I. S (2022). Complex Potentials and Integral Equations for Thermoelasticity Problem of Orthotropic Cracked Plate. International Journal of Mathematical, Engineering and Management Sciences, 7(6), 873-882. https://doi.org/10.33889/IJMEMS.2022.7.6.055.