Elastic and Thermoelastic Responses of Orthotropic Half-Planes

Author:

Tokovyy Yuriy V.,Yasinskyy Anatoliy V.,Lubowicki Sebastian,Perkowski Dariusz M.ORCID

Abstract

A unified approach is presented for constructing explicit solutions to the plane elasticity and thermoelasticity problems for orthotropic half-planes. The solutions are constructed in forms which decrease the distance from the loaded segments of the boundary for any feasible relationship between the elastic moduli of orthotropic materials. For the construction, the direct integration method was employed to reduce the formulated problems to a governing equation for a key function. In turn, the governing equation was reduced to an integral equation of the second kind, whose explicit analytical solution was constructed by using the resolvent-kernel algorithm.

Funder

Poland Ministry of Science and Higher Education

Publisher

MDPI AG

Subject

General Materials Science

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