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An explicit-form solution to the plane elasticity and thermoelasticity problems for anisotropic and inhomogeneous solids
Authors:Yuriy Tokovyy  Chien-Ching Ma
Affiliation:1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of Ukrainian National Academy of Sciences, 79060 Lviv, Ukraine;2. Department of Mechanical Engineering, National Taiwan University, Taipei 10617, Taiwan, ROC
Abstract:This paper presents an analytical approach to solve the plane elasticity and thermoelasticity problems for inhomogeneous, orthotropic planes, half-planes, and strips. Solution of the problems is reduced to the governing Volterra integral equation formulated for the key function and accompanied by the corresponding integral conditions. By making use of the resolvent-kernel technique, the governing equation is solved and the solution to the original problem is presented in explicit form.
Keywords:
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