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Titlebook: Nonconvex Optimization in Mechanics; Algorithms, Heuristi E. S. Mistakidis,G. E. Stavroulakis Book 1998 Springer Science+Business Media Dor

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书目名称Nonconvex Optimization in Mechanics
副标题Algorithms, Heuristi
编辑E. S. Mistakidis,G. E. Stavroulakis
视频video
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Nonconvex Optimization in Mechanics; Algorithms, Heuristi E. S. Mistakidis,G. E. Stavroulakis Book 1998 Springer Science+Business Media Dor
描述Nonconvexity and nonsmoothness arise in a large class of engineering applica­ tions. In many cases of practical importance the possibilities offered by opti­ mization with its algorithms and heuristics can substantially improve the per­ formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti­ mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen­ tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi­ rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-
出版日期Book 1998
关键词algorithm; algorithms; civil engineering; design; development; engineering mechanics; geometry; mechanics; m
版次1
doihttps://doi.org/10.1007/978-1-4615-5829-3
isbn_softcover978-1-4613-7672-9
isbn_ebook978-1-4615-5829-3Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 1998
The information of publication is updating

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Nonconvexity in Engineering Applicationshe sawtooth stress-strain law of Fig. 1.1c which appears in reinforced concrete under tension (Scanlon’s diagram) and leads to the potential energy function of Fig. 1.1d. The same effects may appear also in other problems of structural mechanics.
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Convex Superpotential Problems. Variational Equalities and Inequalitiesach. In fact, the governing relations of the problem either are taken into account in the derivation of the problem or they are produced from the optimality conditions of the associated energy optimization problem.
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Optimal Design Problemsmethods for optimal design of structures. These methods are popular in engineering applications because, roughly speaking, they decompose the difficult optimal design problem into a number of classical structural analysis problems with appropriate, decentralized (at the finite element level) modification rules.
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1571-568X offered by opti­ mization with its algorithms and heuristics can substantially improve the per­ formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehens
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Computational Mechanics Algorithmsorm of a potential or complementary energy optimization problem. Moreover, unilateral effects, friction, plasticity and damage effects introduce inequality restrictions in the optimization problem or require the consideration of more complicated potentials and dissipation functions.
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Nonconvex Optimization and Its Applicationshttp://image.papertrans.cn/n/image/667216.jpg
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