| Автор | Murphy, Jeremiah, G. |
| Дата выпуска | 1997 |
| dc.description | This paper examines nonhomogeneous deformations of homogeneous, isotropic, compressible, nonlinearly elastic solids. It is assumed that the deformation is the gradient of a scalar field, and then determine the equation satisfied by this field from the equation of equilibrium. The strain energy function assumed is a generalization of the harmonic material and the generalized Varga material. For the special case of the generalized Varga material, a similarity solution is found for the scalar field. This solution describes the deformation of regions bounded by a family of surfaces which includes circles, ellipses, and hyperbolas in two and three dimensions. The solution is then partially extended to the more general elastic material. |
| Издатель | Sage Publications |
| Название | Irrotational Deformations in Finite Compressible Elasticity |
| Тип | Journal Article |
| DOI | 10.1177/108128659700200406 |
| Print ISSN | 1081-2865 |
| Журнал | Mathematics and Mechanics of Solids |
| Том | 2 |
| Первая страница | 491 |
| Последняя страница | 502 |
| Аффилиация | Murphy, Jeremiah, G., Department of Science, R. TC. Tallaght, Dublin 24, Ireland |
| Выпуск | 4 |
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