| _version_ | 1866902198815817728 |
|---|---|
| author | Pacheva, M. N. Storozhev, V. I. Storozhev, S. V. Fomenko, M. V. |
| author_facet | Pacheva, M. N. Storozhev, V. I. Storozhev, S. V. Fomenko, M. V. |
| contents | <p>Based on the combined application of the method of series over basis sets of running and edge standing normal elastic waves and the method of partial domains, numerical and analytical solutions are constructed for problems of propagation of shear waves of deformations along a composite body formed by two half-layers of equal thickness and arc-shaped inserts located between them, ideally contacting the half-layers, made of two sector fragments of a semi-ring longitudinal section or of one sector fragment of a semi-ring and two sector fragments of a quarter-ring section. Solutions of problems based on algebraization of functional boundary conditions for stitching waveguide fragments along ideally contacting lateral boundary surfaces are reduced to systems of algebraic equations for the expansion coefficients of wave fields in half-layers and annular sectors in terms of basis sets of normal shear waves in an elastic layer and circumferential normal shear waves in an elastic cylinder of annular cross-section. A detailed description of the algorithm for theoretical analysis of the problem under consideration is given for a particular case of waveguides of the first and second types under consideration with fixed front boundary surfaces.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15575871 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | SHEAR WAVES IN AN ELASTIC LAYER WITH ARCED INSERTS ALONG A WAVEGUIDE: ALGORITHM OF THEORETICAL ANALYSIS Pacheva, M. N. Storozhev, V. I. Storozhev, S. V. Fomenko, M. V. <p>Based on the combined application of the method of series over basis sets of running and edge standing normal elastic waves and the method of partial domains, numerical and analytical solutions are constructed for problems of propagation of shear waves of deformations along a composite body formed by two half-layers of equal thickness and arc-shaped inserts located between them, ideally contacting the half-layers, made of two sector fragments of a semi-ring longitudinal section or of one sector fragment of a semi-ring and two sector fragments of a quarter-ring section. Solutions of problems based on algebraization of functional boundary conditions for stitching waveguide fragments along ideally contacting lateral boundary surfaces are reduced to systems of algebraic equations for the expansion coefficients of wave fields in half-layers and annular sectors in terms of basis sets of normal shear waves in an elastic layer and circumferential normal shear waves in an elastic cylinder of annular cross-section. A detailed description of the algorithm for theoretical analysis of the problem under consideration is given for a particular case of waveguides of the first and second types under consideration with fixed front boundary surfaces.</p> |
| title | SHEAR WAVES IN AN ELASTIC LAYER WITH ARCED INSERTS ALONG A WAVEGUIDE: ALGORITHM OF THEORETICAL ANALYSIS |
| url | https://doi.org/10.5281/zenodo.15575871 |