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Mathematical Models in Contact Mechanics (Paperback, New)
Loot Price: R2,056
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Mathematical Models in Contact Mechanics (Paperback, New)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 10 - 15 working days
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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.
General
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