Discrete and Multifield Models of a Cosserat Chain: One-Period and Two-Period Solutions
- Autores: Vasiliev A.A.1, Dmitriev S.V.2,3
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Afiliações:
- Tver’ State University
- Institute for Problems of Superplasticity of Metals of the Russian Academy of Sciences
- Peter the Great Saint Petersburg Polytechnic University
- Edição: Volume 59, Nº 7 (2016)
- Páginas: 961-970
- Seção: Condensed-State Physics
- URL: https://bakhtiniada.ru/1064-8887/article/view/237371
- DOI: https://doi.org/10.1007/s11182-016-0861-1
- ID: 237371
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Resumo
A multifield theory of bodies with microstructure is developed. As the basic model we take the structural model of a Cosserat chain consisting of particles of rectangular shape. A linear complete discrete model, a linear reduced discrete model, and a nonlinear discrete model are derived and discussed. One-period and two-period solutions are obtained, describing small oscillations of particles in one direction and in different directions. Single-field and two-field, complete and reduced Cosserat models are constructed. It is shown that the singlefield model describes one-period solutions in the chain while the two-field model describes both long-wave one-period and short-wave two-period solutions.
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Sobre autores
A. Vasiliev
Tver’ State University
Autor responsável pela correspondência
Email: alvasiliev@yandex.ru
Rússia, Tver’
S. Dmitriev
Institute for Problems of Superplasticity of Metals of the Russian Academy of Sciences; Peter the Great Saint Petersburg Polytechnic University
Email: alvasiliev@yandex.ru
Rússia, Ufa; Saint Petersburg
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