| Título: | Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries. |
| Autores: | Alberto Salvadori; University of Brescia |
| Fecha: | 2008-09-12 |
| Publicador: | Electronic journal of boundary elements |
| Fuente: |
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| Tipo: | |
| Tema: | Hypersingular boundary integral equations; stress evaluation; free terms; boundary element method |
| Descripción: | This work focuses on the (HBIE) hypersingular boundary integral equation,also called traction equation, and on its use to evaluate the stress tensorin linear elasticity. When the field point is moved to the boundary, by meansof a limit process, free terms come into play. As a common belief, they aredue to the strongly singular kernel: indeed it is proved that the hypersingularkernel does not cause any free term when tractions are evaluated onsmooth boundaries with respect to the boundary surface normal (when theconcept of normal makes sense). The stress tensor along the boundary involvessurfaces with normal differing from the boundary normal, too. In thiscase, free terms are proved to be generated also by the hypersingular kernel,aside from the regularity of the boundary: their analysis is the main goal ofthe present work. |
| Idioma: | Inglés |
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