- PII
- 10.31857/S2686740024040037-1
- DOI
- 10.31857/S2686740024040037
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 517 / Issue number 1
- Pages
- 12-17
- 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.
- Keywords
- сингулярные поля напряжений функция напряжений Эйри асимптотический метод Вилльямса неевклидова модель
- Date of publication
- 15.02.2024
- Year of publication
- 2024
- Number of purchasers
- 0
- Views
- 52
References
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- 3. Pan W., Cheng C., Wang F., Hu Z., Li J. Determination of singular and higher order non-singular stress for angularly heterogeneous material notch 292 // Engineering Fracture Mechanics. 2023. 109592. https://doi.org/10.1016/j.engfracmech.2023.109592
- 4. Sinclair G.B. Stress Singularities in Classical Elasticity—I: Removal, Interpretation and Analysis // Applied Mechanics Reviews. 2004. V. 57(4). P. 251–297. http://dx.doi.org/10.1115/1.1762503
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- 7. Новиков С.П., Тайманов И.А. Современные геометрические структуры и поля. М.: МЦНМО, 2005. 584 с.
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