Methods of functional analysis for application in solid mechanics
著者
書誌事項
Methods of functional analysis for application in solid mechanics
（Studies in applied mechanics, 9）
Elsevier , Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1985
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注記
Bibliography: p. [380]-387
Includes index
内容説明・目次
内容説明
Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.
目次
Introduction. 1. Review of Basic Notions and Concepts of Analysis. 2. Function Spaces: A Basic Summary. 3. Linear Operators and Functionals. 4. Sobolev Spaces and Boundary Value Problems. 5. Variational Methods and Convex Analysis. 6. Discrete Solutions of Variational Boundary Value Problems: The Method of Finite Elements. 7. Variational Inequalities. 8. Overview of Some Basic Problems in Solid Mechanics. 9. Variational Principles and Finite Element Models in Elasticity. 10. Special Applications of Variational Methods and Variational Inequalities in Elasticity and Plasticity. 11. Eigenvalue and Stability Problems. References. Index.
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