A derivation of nonsingular displacement and stress fields within a 3D full-space through Radon transforms
| Autor: | Euclides Mesquita, Marco Adolph, Josue Labaki |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Differential equation
Inverse chemistry.chemical_element Radon 02 engineering and technology Space (mathematics) 01 natural sciences Displacement (vector) law.invention Stress (mechanics) symbols.namesake 0203 mechanical engineering law 0101 mathematics Mathematics Applied Mathematics Mathematical analysis General Engineering 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports Invertible matrix Fourier transform chemistry symbols Analysis |
| Zdroj: | Engineering Analysis with Boundary Elements. 106:624-633 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2019.05.025 |
| Popis: | This work presents a derivation of stress and displacement fields within a three-dimensional full-space under uniformly distributed time-harmonic loads. A combination of Fourier and Radon transforms is used for the derivation. Radon transforms were chosen due to their ability to yield reduced-order transformed differential equations that can be solved algebraically, the inverse transform of which can be obtained analytically. The article discusses the numerical evaluation of the resulting solution, and illustrates the accuracy of the present implementation with selected numerical results. |
| Databáze: | OpenAIRE |
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