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Titlebook: Hemivariational Inequalities; Applications in Mech Panagiotis D. Panagiotopoulos Book 1993 Springer-Verlag Berlin Heidelberg 1993 Different

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书目名称Hemivariational Inequalities
副标题Applications in Mech
编辑Panagiotis D. Panagiotopoulos
视频video
图书封面Titlebook: Hemivariational Inequalities; Applications in Mech Panagiotis D. Panagiotopoulos Book 1993 Springer-Verlag Berlin Heidelberg 1993 Different
描述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 hem
出版日期Book 1993
关键词Differential Equations; Hemivariationsungleichungen; Integral Equations; Integralgleichung; Ungleichunge
版次1
doihttps://doi.org/10.1007/978-3-642-51677-1
isbn_softcover978-3-642-51679-5
isbn_ebook978-3-642-51677-1
copyrightSpringer-Verlag Berlin Heidelberg 1993
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Multivalued Boundary Integral Equationstended over the interface. As the present chapter is rather brief, we refer the reader to the monograph by Antes and the author [Ant92] and to the monograph by the author [Pan85] p. 160–162 for further information on the material.
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Eigenvalue and Dynamic Problemsivariational inequalities. Here we shall give some existence results. For the eigenvalue problem the minimax technique is applied [Mot93] and for the dynamic hemivariational inequalities the regularization method. The corresponding results for dynamic hemivariational inequalities appear here for a first time.
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Dynamic Hemivariational Inequalities and Crack Problems interesting engineering problems, as is the analysis of cracks which are repaired by an adhesive material. The dynamic hemivariational inequalities are “transformed” through time discretization into static hemivariational inequalities which can be treated by one of the methods developed in the previous chapters.
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