| Автор | Monnier, J. |
| Автор | Trabucho, L. |
| Дата выпуска | 1998 |
| dc.description | In this work, the authors study the existence and uniqueness of solutions to an adaptive elasticity model applied to bone remodeling. Specifically, the authors consider the model derived by Cowin and Hegedus directly from continuum mechanics theory. They use a fixed point argument to prove the existence of solutions and a straightforward adaptation of the Cowin and Nachlinger analysis to prove uniqueness. |
| Издатель | Sage Publications |
| Название | Existence and Uniqueness of a Solution to an Adaptive Elasticity Model |
| Тип | Journal Article |
| DOI | 10.1177/108128659800300206 |
| Print ISSN | 1081-2865 |
| Журнал | Mathematics and Mechanics of Solids |
| Том | 3 |
| Первая страница | 217 |
| Последняя страница | 228 |
| Аффилиация | Monnier, J., Laboratoire de Modilisation et Calcul (LMC-IMAG), BP 53, F-38041 Grenoble Cedex 9, France |
| Аффилиация | Trabucho, L., C.M.A.F, Av. Prof Gama Pinto, 2, 1699 Lisboa Codex, Portugal |
| Выпуск | 2 |
| Библиографическая ссылка | [1] Cowin, S. C. and Hegedus, D. H.: Bone remodeling i: A theory of adaptive elasticity. J. Elasticity, 6(3), 313-326 (1976). |
| Библиографическая ссылка | [2] Hegedus, D. H. and Cowin, S. C.: Bone remodeling ii: Small strain adaptative elasticity. J. Elasticity, 6(4), 337-352 (1976). |
| Библиографическая ссылка | [3] Cowin, S. C. and Nachlinger, R. R.: Bone remodeling iii: Uniqueness and stability in adaptative elasticity theory. J. Elasticity, 8(3), 285-295 (1978). |
| Библиографическая ссылка | [4] Valent, T.: Boundary Value Problems of Finite Elasticity, Vol. 31, Springer Tracts in Natural Philosophy, Springer Verlag, New York, 1988. |
| Библиографическая ссылка | [5] Duvaut, G. and Lions, J. L.: Les in6quations en mecanique et en physique. Dunod, Paris, 1972. |
