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Homogenization of boundary hemivariational inequalities in linear elasticity |
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| Authors: | Zhenhai Liu Stanis&#x;aw Migrski Anna Ochal |
| Institution: | aCentral South University, Department of Mathematics, Changsha, Hunan 410076, PR China;bJagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Nawojki 11, 30072 Krakow, Poland |
| Abstract: | In this paper we consider a mathematical model describing static elastic contact problems with the Hooke constitutive law and subdifferential boundary conditions. We treat boundary hemivariational inequalities which are weak formulations of contact problems. We establish existence and uniqueness of solutions to hemivariational inequalities. Using the notion of H-convergence of elasticity tensors we investigate the limit behavior of the sequence of solutions to hemivariational inequalities. |
| Keywords: | Elasticity H-convergence Hemivariational inequality Homogenization Static process Frictional contact Clarke subdifferential Weak solution |
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