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
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.