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

Autor: Panagiota Lalou, Ioannis S. Triantafyllou
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: International Journal of Mathematical, Engineering and Management Sciences, Vol 7, Iss 6, Pp 873-882 (2022)
Druh dokumentu: article
ISSN: 2455-7749
DOI: 10.33889/IJMEMS.2022.7.6.055
Popis: 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.
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