Existence and smoothness for a class of $n$D models in elasticity theory of small deformations
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | ZAMP |
| Volume: | 69 |
| Year: | 2018 |
| Month: | February |
| Pages: | 20 |
| DOI: | 10.1007/s00033-018-0917-x |
| Abstract: | We consider a model for deformations of a homogeneous isotropic body, whose shear modulus remains constant, but its bulk modulus can be a highly nonlinear function. We show that for a general class of such models, in an arbitrary space dimension, the respective PDE problem has a unique solution. Moreover, this solution enjoys interior smoothness. This is the first regularity result for elasticity problems that covers the most natural space dimension $3$ and that captures behaviour of many typical elastic materials (considered in the small deformations) like rubber, polymer gels or concrete. |
| Preprint project: | MORE |
| Preprint year: | 2016 |
| Preprint number: | 22 |
| Preprint ID: | MORE/2016/22 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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