LEADER 03493nam 22006732 450 001 9910779480503321 005 20151005020621.0 010 $a1-139-88985-0 010 $a1-139-57982-7 010 $a1-139-10416-0 010 $a1-139-57367-5 010 $a1-139-57125-7 010 $a1-139-57300-4 010 $a1-139-56944-9 010 $a1-283-63880-0 010 $a1-139-57034-X 035 $a(CKB)2550000000707823 035 $a(EBL)1025075 035 $a(OCoLC)815974952 035 $a(SSID)ssj0000722723 035 $a(PQKBManifestationID)11416475 035 $a(PQKBTitleCode)TC0000722723 035 $a(PQKBWorkID)10698511 035 $a(PQKB)10013585 035 $a(UkCbUP)CR9781139104166 035 $a(MiAaPQ)EBC1025075 035 $a(Au-PeEL)EBL1025075 035 $a(CaPaEBR)ebr10608438 035 $a(CaONFJC)MIL395126 035 $a(PPN)26131274X 035 $a(EXLCZ)992550000000707823 100 $a20110628d2012|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical models in contact mechanics /$fM. Sofonea, A. Matei$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2012. 215 $a1 online resource (xiv, 280 pages) $cdigital, PDF file(s) 225 1 $aLondon Mathematical Society lecture note series ;$v398 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-60665-9 320 $aIncludes bibliographical references and index. 327 $aPreliminaries on functional analysis -- Elliptic variational inequalities -- History-dependent variational inequalities -- Modelling of contact problems -- Analysis of elastic contact problems -- Analysis of elastic-visco plastic contact problems -- Analysis of piezoelectric contact problems. 330 $aThis text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems. 410 0$aLondon Mathematical Society lecture note series ;$v398. 606 $aContact mechanics$xMathematical models 615 0$aContact mechanics$xMathematical models. 676 $a620.1/05 686 $aSCI085000$2bisacsh 700 $aSofonea$b Mircea$059986 702 $aMatei$b Andaluzia 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910779480503321 996 $aMathematical models in contact mechanics$9241129 997 $aUNINA