| 书目名称 | Uniqueness Theorems in Linear Elasticity |
| 编辑 | Robin John Knops,Lawrence Edward Payne |
| 视频video | |
| 丛书名称 | Springer Tracts in Natural Philosophy |
| 图书封面 |  |
| 描述 | The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and |
| 出版日期 | Book 1971 |
| 关键词 | Elastizität; dynamics; elasticity; elastostatics; stability; statics; time |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-65101-4 |
| isbn_softcover | 978-3-642-65103-8 |
| isbn_ebook | 978-3-642-65101-4Series ISSN 0081-3877 |
| issn_series | 0081-3877 |
| copyright | Springer-Verlag Berlin Heidelberg 1971 |
发表于 2025-3-21 16:42:09
