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＜電子ブック＞
Mathematical Models in Contact Mechanics / Mircea Sofonea, Andaluzia Matei
(London Mathematical Society Lecture Note Series ; 398)

出版者	Cambridge : Cambridge University Press
出版年	2012
大きさ	1 online resource (293 pages) : digital, PDF file(s)
著者標目	*Sofonea, Mircea author Matei, Andaluzia author
一般注記	Title from publisher's bibliographic system (viewed on 11 Nov 2016) This 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139104166

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