Nonlocal continuum mechanics based on distributions
This paper presents a derivation of the balance laws of nonlocal continuum mechanics, based on the concept of microelements (very small collections of atoms or molecules). Mechanical fields (mass density, stress tensor, internal energy density, …) are assumed to be distributions (generalized functio...
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| Veröffentlicht in: | International journal of engineering science 2006-02, Vol.44 (3), p.141-147 |
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| container_title | International journal of engineering science |
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| creator | Eringen, A. Cemal |
| description | This paper presents a derivation of the balance laws of nonlocal continuum mechanics, based on the concept of microelements (very small collections of atoms or molecules). Mechanical fields (mass density, stress tensor, internal energy density,
…) are assumed to be
distributions (generalized functions), over a microelement surface and volume, influenced by distant microelements. Collection of these distributions in the limit when the surface and volume elements approach zero, defines the nonlocal mechanical fields. By this process, singularities and discontinuities that may be present in microelements, are smoothed out. The nonlocal balance laws are then established, having no nonlocal residuals. |
| doi_str_mv | 10.1016/j.ijengsci.2005.11.002 |
| format | Article |
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…) are assumed to be
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…) are assumed to be
distributions (generalized functions), over a microelement surface and volume, influenced by distant microelements. Collection of these distributions in the limit when the surface and volume elements approach zero, defines the nonlocal mechanical fields. By this process, singularities and discontinuities that may be present in microelements, are smoothed out. The nonlocal balance laws are then established, having no nonlocal residuals.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijengsci.2005.11.002</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | International journal of engineering science, 2006-02, Vol.44 (3), p.141-147 |
| issn | 0020-7225 1879-2197 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Balance laws as distributions Exact sciences and technology Fundamental areas of phenomenology (including applications) Nonlocal continuum Nonlocal second law of thermodynamics Physics Solid mechanics Structural and continuum mechanics |
| title | Nonlocal continuum mechanics based on distributions |
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