Korn's inequality for periodic solids and convergence rate of homogenization

Autor:	Giuseppe Cardone, A. Corbo Esposito, Serguei A. Nazarov
Přispěvatelé:	Cardone, G, Esposito, Ac, Nazarov, Sa
Rok vydání:	2009
Předmět:	Korn's inequality Rate of convergence Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Elasticity (economics) Lipschitz continuity Homogenization (chemistry) Analysis Mathematics
Zdroj:	Applicable Analysis. 88:847-876
ISSN:	1563-504X 0003-6811
Popis:	In a three-dimensional solid with arbitrary periodic Lipschitz perforation the Korn inequality is proved with a constant independent of the perforation size. The convergence rate of homogenization as a function of the Sobolev-Slobodetskii smoothness of data is also estimated. We improve foregoing results in elasticity dropping customary restrictions on the shape of the periodicity cell and superfluous smoothness and smallness assumptions on the external forces and traction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cc0018c66dbe8b19270952253e53584 https://doi.org/10.1080/00036810903042174 Zobrazit plný text záznamu