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Titlebook: Inequality Problems in Mechanics and Applications; Convex and Nonconvex P. D. Panagiotopoulos Book 1985 Birkh?user Boston Inc. 1985 Calcula

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書(shū)目名稱Inequality Problems in Mechanics and Applications
副標(biāo)題Convex and Nonconvex
編輯P. D. Panagiotopoulos
視頻videohttp://file.papertrans.cn/465/464402/464402.mp4
圖書(shū)封面Titlebook: Inequality Problems in Mechanics and Applications; Convex and Nonconvex P. D. Panagiotopoulos Book 1985 Birkh?user Boston Inc. 1985 Calcula
描述In a remarkably short time, the field of inequality problems has seen considerable development in mathematics and theoretical mechanics. Applied mechanics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessaloniki, the University of Hamburg and the Technical University of Milan. The book is intended for a variety of readers, mathematicians and engineers alike, as is detailed in the Guidelines for the Reader. It goes without saying that the work of G. Fichera, J. L. Lions, G. Maier, J. J. Moreau in originating and developing the theory of inequality problems has considerably influenced the present book. I also wish to acknowledge the helpful comments received from C. Bisbos, J. Haslinger, B. Kawohl, H. Matthies, H. O. May, D. Talaslidis and B. Werner. Credit is also due to G. Kyriakopoulos and T. Mandopoulou for their exceptionally diligent work in the pre
出版日期Book 1985
關(guān)鍵詞Calculation; Potential; Topology; calculus; function; mathematics; theorem
版次1
doihttps://doi.org/10.1007/978-1-4612-5152-1
isbn_softcover978-0-8176-3094-2
isbn_ebook978-1-4612-5152-1
copyrightBirkh?user Boston Inc. 1985
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Friction Problems in the Theory of Elasticityum potential and complementary energy are derived and their duality is proved. Finally, some other types of friction B.V.P.s are also considered, and the corresponding variational inequalities are derived.
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Incremental and Dynamic Inequality Problemsted which gives rise to a minimization problem. The last Section concerns the dynamic unilateral contact problem. The resulting variational inequality is discretized with respect to time, and within every time step a minimization problem arises which is solved by an appropriate optimization alogrithm.
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Book 1985nics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a vari
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Essential Notions and Propositions of Functional Analysisinequality problems in mechanics. Commencing with the notion of topological vector spaces and the corresponding notion of duality, we give some properties of certain function spaces. Particular attention is paid to Sobolev spaces and spaces of functions of bounded deformation for which the trace the
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