Another approach to linear shell theory and a new proof of Korn's inequality on a surface |
| |
| Authors: | Philippe G. Ciarlet Liliana Gratie |
| |
| Affiliation: | 1. Department of Mathematics, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon, Hong Kong;2. Liu Bie Ju Centre for Mathematical Sciences, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon, Hong Kong |
| |
| Abstract: | We propose a new approach to the quadratic minimization problems arising in Koiter's linear shell theory. The novelty consists in considering the linearized change of metric and change of curvature tensors as the new unknowns, instead of the displacement vector field as is customary. This approach also provides a new proof of Korn's inequality on a surface. To cite this article: P.G. Ciarlet, L. Gratie, C. R. Acad. Sci. Paris, Ser. I 340 (2005). |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
