Determination of Viscoelastic Stresses in Plates with Inclusions


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Abstract

We describe an approach to the determination of viscoelastic stresses in plates with inclusions. It is based on the method of boundary integral equations and the Laplace integral transformation. The formal solution of the problem of elasticity theory in which the differential operators are replaced with constants is constructed by the method of boundary integral equations and reduced to the solution of a system of algebraic equations. The corresponding system for the viscoelasticity problem is solved with the help of the Laplace integral transformation and a refined numerical-analytic formula for its inversion.

About the authors

V. M. Maksymovych

Luts’k National Technical University

Email: Jade.Santos@springer.com
Ukraine, Luts’k

T. Ya. Solyar

Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences

Email: Jade.Santos@springer.com
Ukraine, Lviv

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