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Hemivariational Inequalities - Applications in Mechanics and Engineering (Paperback, Softcover reprint of the original 1st ed. 1993)
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Hemivariational Inequalities - Applications in Mechanics and Engineering (Paperback, Softcover reprint of the original 1st ed. 1993)
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The aim of the present book is the formulation, mathematical study
and numerical treatment of static and dynamic problems in mechanics
and engineering sciences involving nonconvex and nonsmooth energy
functions, or nonmonotone and multivalued stress-strain laws. Such
problems lead to a new type of variational forms, the
hemivariational inequalities, which also lead to multivalued
differential or integral equations. Innovative numerical methods
are presented for the treament of realistic engineering problems.
This book is the first to deal with variational theory of
engineering problems involving nonmonotone multivalue realations,
their mechanical foundation, their mathematical study (existence
and certain approximation results) and the corresponding eigenvalue
and optimal control problems. All the numerical applications give
innovative answers to as yet unsolved or partially solved
engineering problems, e.g. the adhesive contact in cracks, the
delamination problem, the sawtooth stress-strain laws in
composites, the shear connectors in composite beams, the semirigid
connections in steel structures, the adhesive grasping in robotics,
etc. The book closes with the consideration of hemivariational
inequalities for fractal type geometries and with the neural
network approach to the numerical treatment of hemivariational
inequalities.
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