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Removal of the stress field singularity for the Williams problem (1952) basing on a non-Euclidean continuum model
- Authors: Guzev M.A.1,2
-
Affiliations:
- aInstitute for Applied Mathematics Far Eastern Branch, Russian Academy of Sciences
- Perm National Research Polytechnic University
- Issue: Vol 517, No 1 (2024)
- Pages: 12-17
- Section: МЕХАНИКА
- URL: https://journals.rcsi.science/2686-7400/article/view/272248
- DOI: https://doi.org/10.31857/S2686740024040037
- EDN: https://elibrary.ru/JPKWKG
- ID: 272248
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Abstract
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.
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About the authors
M. A. Guzev
aInstitute for Applied Mathematics Far Eastern Branch, Russian Academy of Sciences; Perm National Research Polytechnic University
Author for correspondence.
Email: guzev@iam.dvo.ru
Academician of the RAS
Russian Federation, Vladivostok; PermReferences
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