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Local compactness for linear elasticity in irregular domains

✍ Scribed by Norbert Weck

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
278 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

For the theory of boundary value problems in linear elasticity, it is of crucial importance that the space of vector‐valued L^2^‐functions whose symmetrized Jacobians are square‐integrable should be compactly embedded in L^2^. For regions with the cone property this is usually achieved by combining Korn's inequalities and Rellich's selection theorem. We shall show that in a class of less regular regions Korn's second inequality fails whereas the desired compact embedding still holds true.

πŸ“œ SIMILAR VOLUMES

Generalized linear elasticity in exterio
Generalized linear elasticity in exterior domains. I: Radiation problems
✍ Norbert Weck; Karl J. Witsch πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 399 KB πŸ‘ 2 views

Communicated by P. Werner ## Dedicated to Rolf Leis We use Hodge-Helmholtz decompositions of weighted Sobolev spaces to solve time-harmonic exteriorboundary value problems for perturbations of the (a d#bd )-system ( : the co-differential, a, b'0). We prove, that a Fredholm alternative holds true,