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Numerical Solution of Stress Concentration Problems in Elastic-Plastic Bodies Under the Superposition of Finite Deformationsстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
- Авторы: Levin Vladimir A., Zingerman Konstantin M., Krapivin Kirill Yu
- Сборник: Advances in Linear and Nonlinear Continuum and Structural Mechanics
- Серия: Advanced Structured Materials
- Том: 198
- Глава в коллективной монографии
- Год издания: 2023
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- Первая страница: 305
- Последняя страница: 323
- DOI: 10.1007/978-3-031-43210-1_18
- Аннотация: This paper deals with numerical simulations of the elasto-plastic behavior of isotropic materials undergoing large deformations. The attention is focused on the state of stress and strain of previously loaded elasto-plastic bodies with holes originating in them. The problem statement and solution are based on the theory of repeatedly imposed large deformations within the framework of hyperelastic plasticity. The problem-solving is based on the finite-element and spectral-element methods. The validity of the model was tested on two test problems, and it was found that the numerical results were in good agreement either with the exact solution or with experimental data. Another two problems are strain localization problems in media with step-by-step exclusion of geometrical parts. These problems are characterized by the origination of localized shear bands (slip lines). It is shown that a new family of slip lines is originated at each step of deformation. This is the qualitative effect related with multiple superpositions of finite strains.
- Добавил в систему: Зингерман Константин Моисеевич
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