MARC Record from marc_columbia

LEADER: 04148cam a2200337M 4500
001 10078127
005 20121217151147.0
008 121029s2012 xxu 000 0 eng d
010 $a 2012023155
020 $a9781107606654 (pbk.)
020 $a1107606659 (pbk.)
035 $a(OCoLC)ocn815244085
035 $a(OCoLC)815244085
035 $a(NNC)10078127
040 $aDKDLA$bdan$cDKDLA$dOCLCO
050 14 $aTA353$b.S55 2004
084 $a620.105$2z
245 00 $aMathematical models in contact mechanics /$cM. Sofonea, A. Matei.
260 $aCambridge :$bCambridge University Press,$c2012.
300 $a280 s. :$bill.
490 1 $aLondon Mathematical Society lecture note series ;$v398
505 0 $aMachine generated contents note: Preface; List of symbols; Part I. Introduction to Variational Inequalities: 1. Preliminaries on functional analysis; 2. Elliptic variational inequalities; 3. History-dependent variational inequalities; Part II. Modelling and Analysis of Contact Problems: 4. Modelling of contact problems; 5. Analysis of elastic contact problems; 6. Analysis of elastic-visco-plastic contact problems; 7. Analysis of piezoelectric contact problems; Bibliographical notes; References; Index.
520 8 $aThis text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems"--.
520 8 $aContact processes between deformable bodies abound in industry and everyday life and, for this reason, considerable efforts have been made in their modelling and analysis. Owing to their inherent complexity, contact phenomena lead to new and interesting mathematical models. Here and everywhere in this book by a mathematical model we mean a system of partial differential equations, associated with boundary conditions and initial conditions, eventually, which describes a specific contact process. The purpose of this book is to introduce the reader to some representative mathematical models which arise in Contact Mechanics. Our aim is twofold: first, to present a sound and rigorous description of the way in which the mathematical models are constructed; second, to present the mathematical analysis of such models which includes the variational formulation, existence, uniqueness and convergence results. To this end, we use results on various classes of variational inequalities in Hilbert spaces, that we present in an abstract functional framework. Also, we use various functional methods, including monotonicity, compactness, penalization, regularization and duality methods. Moreover, we pay particular attention to the mechanical interpretation of our results and, in this way, we illustrate the cross fertilization between modelling and applications on the one hand, and nonlinear analysis on the other hand"--.
650 0 $aContact mechanics$xMathematical models.
650 7 $aSCIENCE / Mechanics / Dynamics / Fluid Dynamics$2bisacsh
700 1 $aSofonea, Mircea.$4aut
700 1 $aMatei, Andaluzia.$4aut
830 0 $aLondon Mathematical Society lecture note series ;$v398.
856 $3Cover image$uhttp://assets.cambridge.org/97811076/06654/cover/9781107606654.jpg
852 00 $bmat$hTA353$i.S55 2004g