LEADER 04255nam 2200661 a 450 001 9910437878603321 005 20200520144314.0 010 $a1-283-62390-0 010 $a9786613936356 010 $a1-4614-4232-X 024 7 $a10.1007/978-1-4614-4232-5 035 $a(CKB)2670000000246728 035 $a(EBL)994469 035 $a(OCoLC)811619674 035 $a(SSID)ssj0000767121 035 $a(PQKBManifestationID)11513381 035 $a(PQKBTitleCode)TC0000767121 035 $a(PQKBWorkID)10739883 035 $a(PQKB)10899605 035 $a(DE-He213)978-1-4614-4232-5 035 $a(MiAaPQ)EBC994469 035 $a(PPN)168299623 035 $a(EXLCZ)992670000000246728 100 $a20120510d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear inclusions and hemivariational inequalities $emodels and analysis of contact problems /$fStanislaw Migorski, Anna Ochal, Mircea Sofonea 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (292 p.) 225 0$aAdvances in mechanics and mathematics,$x1571-8689 ;$vv. 26 300 $aDescription based upon print version of record. 311 $a1-4899-9561-7 311 $a1-4614-4231-1 320 $aIncludes bibliographical references and index. 327 $apt. 1. Background on functional analysis -- pt. 2. Nonlinear inclusions and hemivariational inequalities -- pt. 3. Modeling and analysis of contact problems. 330 $aNonlinear Inclusions and Hemivariational Inequalities presents a broad insight into the theory of inclusions, hemivariational inequalities, and their applications to Contact Mechanics. The content of this volume gathers recent results which are published here for the first time and gives a largely self-contained and rigorous introduction to mathematical analysis of contact problems. The book will be of particular interest to students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and may also prove suitable as a supplementary text for an advanced one or two semester specialized course in mathematical modeling.   This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of Contact Mechanics. It covers both abstract existence and uniqueness results as well as the study of specific contact problems, including their modeling and variational analysis. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation.   The text is divided into three parts. Part I, entitled Background of Functional Analysis, gives an overview of nonlinear and functional analysis, function spaces, and calculus of nonsmooth operators. The material presented may be useful to students and researchers from a broad range of mathematics and mathematical disciplines. Part II concerns Nonlinear Inclusions and Hemivariational Inequalities and is the core of the text in terms of theory. Part III, entitled Modeling and Analysis of Contact Problems shows applications of theory in static and dynamic contact problems with deformable bodies, where the material behavior is modeled with both elastic and viscoelastic constitutive laws. Particular attention is paid to the study of contact problems with piezoelectric materials. Bibliographical notes presented at the end of each part are valuable for further study. 410 0$aAdvances in Mechanics and Mathematics,$x1571-8689 ;$v26 606 $aMathematical models 606 $aHemivariational inequalities 606 $aDifferential inclusions 615 0$aMathematical models. 615 0$aHemivariational inequalities. 615 0$aDifferential inclusions. 676 $a620.105 700 $aMigorski$b Stanislaw$0725723 701 $aOchal$b Anna$01757952 701 $aSofonea$b Mircea$059986 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437878603321 996 $aNonlinear inclusions and hemivariational inequalities$94195990 997 $aUNINA