On an approach to construction the basic of nanomaterials mechanics
In the paper the basic relations for description of elastic deformation of nanoporous solids are proposed. They include a classical equilibrium equation and a constitutive relation between stress and strain tensors. While formulating the latter it is assumed that elastic moduli can be presented as a...
Збережено в:
| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Центр математичного моделювання Інституту прикладних проблем механіки і математики ім. Я.С. Підстригача НАН України
2010
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| Назва видання: | Фізико-математичне моделювання та інформаційні технології |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/22403 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On an approach to construction the basic of nanomaterials mechanics / T. Nahirnyi, K. Tchervinka // Фіз.-мат. моделювання та інформ. технології. — 2010. — Вип. 11. — С. 113-120. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In the paper the basic relations for description of elastic deformation of nanoporous solids are proposed. They include a classical equilibrium equation and a constitutive relation between stress and strain tensors. While formulating the latter it is assumed that elastic moduli can be presented as a product of two functions. The first one depends on characteristic size of the nanoscale elements forming material, the second depends on the porosity coefficient. For description of the elastic moduli dependence on characteristic size the local gradient approach in thermomechanics is used. On the base of the model problems solutions for a layer and a cylinder there are investigated the nanoscale element geometry and size influences on elastic moduli, including Young modulus and Poisson coefficient. |
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