Approximate Solution of the One-Dimensional Problem of the Theory of Elasticity for an Inhomogeneous Solid Cylinder


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Abstract

For the solution of the one-dimensional problem of the theory of elasticity for a radially inhomogeneous solid cylinder, we use the method of reduction to a Volterra integral equation. By estimating the error of satisfying the governing integral equation, we establish a criterion of accuracy of the approximate solution of the problem.

About the authors

L. P. Tokova

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

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

А. V. Yasinskyy

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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