000 02646nam a22003618i 4500
001 CR9781139104166
003 UkCbUP
005 20200124160239.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110628s2012||||enk o ||1 0|eng|d
020 _a9781139104166 (ebook)
020 _z9781107606654 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aTA353
_b.S55 2012
082 0 0 _a620.1/05
_223
100 1 _aSofonea, Mircea,
_eauthor.
245 1 0 _aMathematical models in contact mechanics /
_cM. Sofonea, A. Matei.
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (xiv, 280 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v398
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _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.
520 _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.
650 0 _aContact mechanics
_xMathematical models.
700 1 _aMatei, Andaluzia,
_eauthor.
776 0 8 _iPrint version:
_z9781107606654
830 0 _aLondon Mathematical Society lecture note series ;
_v398.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139104166
999 _c518389
_d518387