1.

Record Nr.

UNINA9910818806403321

Autore

Sofonea Mircea

Titolo

Mathematical models in contact mechanics / / M. Sofonea, A. Matei [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2012

ISBN

1-139-88985-0

1-139-57982-7

1-139-10416-0

1-139-57367-5

1-139-57125-7

1-139-57300-4

1-139-56944-9

1-283-63880-0

1-139-57034-X

Descrizione fisica

1 online resource (xiv, 280 pages) : digital, PDF file(s)

Collana

London Mathematical Society lecture note series ; ; 398

Classificazione

SCI085000

Disciplina

620.1/05

Soggetti

Contact mechanics - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preliminaries 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.

Sommario/riassunto

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.