Weak solvability via bipotential method for contact models with nonmonotone boundary conditions

Autor:	Csaba Varga, M. A. Csirik, Nicuşor Costea
Rok vydání:	2015
Předmět:	Nonlinear system Monotone polygon Field (physics) Cauchy stress tensor Applied Mathematics General Mathematics Mathematical analysis Displacement field Constitutive equation General Physics and Astronomy Contact zone Boundary value problem Mathematics
Zdroj:	Zeitschrift für angewandte Mathematik und Physik. 66:2787-2806
ISSN:	1420-9039 0044-2275
DOI:	10.1007/s00033-015-0513-2
Popis:	We consider a general mathematical model which describes the contact between a body and a foundation, under the small deformations hypothesis. The behavior of the material is modeled by a monotone constitutive law, while on the potential contact zone nonmonotone boundary conditions are imposed. We propose a variational formulation in terms of bipotentials, whose unknown is a pair consisting of the displacement field and the Cauchy stress field. The existence of weak solutions is proved using a recent result due to Costea and Varga (Topol Methods Nonlinear Anal 41:39–67, 2013) concerning the solvability of nonlinear hemivariational inequality systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8b09953227c9e5c268c4ecc288a76d59 https://doi.org/10.1007/s00033-015-0513-2 Zobrazit plný text záznamu Full text from SpringerLink