Evaluation of Two-Dimensional Stresses Near Rigid Inclusions in Anisotropic Media According to the Sherman Integral Equations and Green's Solutions.

Autor: Maksymovych, M. O., Sulym, H. T., Solyar, T. Ya.
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Zdroj: Journal of Mathematical Sciences; Feb2024, Vol. 278 Issue 5, p880-893, 14p
Abstrakt: We construct regularized Sherman-type integral equations for the plane anisotropic problem of the theory of elasticity with displacements given on the boundaries of the holes. The integral representation of the general solution is obtained in terms of the Lekhnitskii complex potentials by using the Cauchy theorem and, in the case of a half plane and a strip, with additional application of Green's solutions. The properties of the constructed solution are established. According to the Sherman approach, we add regularizing components, which enable us to find a single-valued solution by numerical methods. The developed approach is used to determine elastic stresses in the strip under the conditions of stretching through rigid patches. We also study the distributions of stresses near rigid cylindrical inclusions in isotropic materials and a mass of aleurolite rocks and analyze the mutual influence of inclusions on the stress distribution. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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