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About this book
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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Table of contents (15 chapters)
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Front Matter
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Introductory Topics
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Front Matter
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Mechanical Theory
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Front Matter
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Mathematical Theory
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Front Matter
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Numerical Applications
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Front Matter
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Authors and Affiliations
Bibliographic Information
Book Title: Hemivariational Inequalities
Book Subtitle: Applications in Mechanics and Engineering
Authors: Panagiotis D. Panagiotopoulos
DOI: https://doi.org/10.1007/978-3-642-51677-1
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1993
Softcover ISBN: 978-3-642-51679-5Published: 14 May 2012
eBook ISBN: 978-3-642-51677-1Published: 06 December 2012
Edition Number: 1
Number of Pages: XVI, 451
Number of Illustrations: 22 b/w illustrations
Topics: Mathematical and Computational Engineering, Theoretical and Applied Mechanics, Civil Engineering, Automotive Engineering