Studying plane harmonic waves on a cylindrical cavity of elliptical section in an orthotropic medium
Background. The purpose of this work is to solve the problem of stationary scattering of longitudinal shear waves on cylindrical cavities of smooth curved section in anisotropic media. Materials and methods. In the study of this problem, the method of correction of elastic constants, the method o...
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| Format: | Article |
| Language: | English |
| Published: |
Penza State University Publishing House
2024-12-01
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| Series: | Известия высших учебных заведений. Поволжский регион: Физико-математические науки |
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| Summary: | Background. The purpose of this work is to solve the problem of stationary
scattering of longitudinal shear waves on cylindrical cavities of smooth curved section in
anisotropic media. Materials and methods. In the study of this problem, the method of
correction of elastic constants, the method of generalized wave potentials, the method of
singular analysis of the plan matrix, the method of accurate minimization of the quadratic
functional of the residual boundary conditions are used. Results. An algorithm for the
numerical and analytical solution of the diffraction problem is described and applied to
study the patterns of stress distribution on the contour of an elliptical cavity. Conclusions.
The method used is an effective means of solving the problem, which allows analyzing the
effect of the degree of anisotropy of the medium on the distribution of reduced stresses. |
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| ISSN: | 2072-3040 |