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Variational Inequalities and Frictional Contact Problems

Release: Variational.Inequalities.and.Frictional.Contact.Problems

  • Sprache: Englisch
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  • Größe: 1 MB
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Anca Capatina, "Variational Inequalities and Frictional
Contact Problems"
2014 | ISBN - 10: 3319101625 | 248 pages | PDF | 1 MB
Variational Inequalities and Frictional Contact Problems
contains a carefully selected collection of results on elliptic
and evolutionary quasi - variational inequalities including
existence, uniqueness, regularity, dual formulations,
numerical approximations and error estimates ones. By
using a wide range of methods and arguments, the
results are presented in a constructive way, with clarity
and well justified proofs. This approach makes the
subjects accessible to mathematicians and applied
mathematicians. Moreover, this part of the book can be
used as an excellent background for the investigation of
more general classes of variational inequalities. The
abstract variational inequalities considered in this book
cover the variational formulations of many static and
quasi - static contact problems. Based on these abstract
results, in the last part of the book, certain static and
quasi - static frictional contact problems in elasticity are
studied in an almost exhaustive way. The readers will find
a systematic and unified exposition on classical,
variational and dual formulations, existence, uniqueness
and regularity results, finite element approximations and
related optimal control problems. This part of the book is
an update of the Signorini problem with nonlocal Coulomb
friction, a problem little studied and with few results in the
literature. Also, in the quasi - static case, a control
problem governed by a bilateral contact problem is
studied. Despite the theoretical nature of the presented
results, the book provides a background for the numerical
analysis of contact problems.
The materials presented are accessible to both
graduate/under graduate students and to researchers in
applied mathematics, mechanics, and engineering. The
obtained results have numerous applications in
mechanics, engineering and geophysics. The book
contains a good amount of original results which, in this
unified form, cannot be found anywhere else.
Sach und Fachbuecher English

Variational Inequalities and Frictional Contact Problems


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