Nonlinearity of Elastic Deformations and Moderateness of Strains as a Factor Explaining the Auxeticity of Materials
A theoretical attempt is proposed to explain of auxeticity of elastic materials by use of nonlinear models of elastic deformations for wide range of strain values up to moderate level. The analytical expressions are obtained that corresponds to three kinds of universal deformations (simple shear, un...
Збережено в:
| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут механіки ім. С.П. Тимошенка НАН України
2019
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| Назва видання: | Прикладная механика |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188198 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonlinearity of Elastic Deformations and Moderateness of Strains as a Factor Explaining the Auxeticity of Materials / J.J. Rushchitsky // Прикладная механика. — 2019. — Т.55, № 6. — С. 115-134. — Бібліогр.: 46 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | A theoretical attempt is proposed to explain of auxeticity of elastic materials by use of nonlinear models of elastic deformations for wide range of strain values up to moderate level. The analytical expressions are obtained that corresponds to three kinds of universal deformations (simple shear, uniaxial tension, omniaxial tension) within the framework of three well-known in the nonlinear theory of elasticity models – two-constant Neo-Hookean model, three-constant Mooney-Rivlin model, five-constant Murnaghan model. A most interesting novelty consists in that the sample from elastic material is deformed as the conventional material for small values of strains whereas as the auxetic with increasing to moderate values of strains. |
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