Enviar artigo por via de e-mail Removal of the stress field singularity for the Williams problem (1952) basing on a non-Euclidean continuum model
- Autores: Guzev M.A.1,2
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Afiliações:
- aInstitute for Applied Mathematics Far Eastern Branch, Russian Academy of Sciences
- Perm National Research Polytechnic University
- Edição: Volume 517, Nº 1 (2024)
- Páginas: 12-17
- Seção: МЕХАНИКА
- URL: https://filvestnik.nvsu.ru/2686-7400/article/view/651770
- DOI: https://doi.org/10.31857/S2686740024040037
- EDN: https://elibrary.ru/JPKWKG
- ID: 651770
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Resumo
A singular solution for the elastic stress field in the Williams problem on the equilibrium of plates with corner cutouts is considered. A scheme has been constructed for the minimal expansion of the classical elastic continuum model without taking into account the Saint-Venant compatibility conditions for deformations, which leads to a non-Euclidean continuum model. Within this model framework, the total stress field is shown to contain no singularity for all cutout angles.
Sobre autores
M. Guzev
aInstitute for Applied Mathematics Far Eastern Branch, Russian Academy of Sciences; Perm National Research Polytechnic University
Autor responsável pela correspondência
Email: guzev@iam.dvo.ru
Academician of the RAS
Rússia, Vladivostok; PermBibliografia
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