Methods of Functional Analysis for Application in Solid Mechanics
eBook - PDF

Methods of Functional Analysis for Application in Solid Mechanics

  1. English
  2. PDF
  3. Only available on web
eBook - PDF

Methods of Functional Analysis for Application in Solid Mechanics

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access Methods of Functional Analysis for Application in Solid Mechanics by J. Mason in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2013
ISBN
9781483289915
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Methods of Functional Analysis for Application in Solid Mechanics
  3. Copyright Page
  4. Table of Contents
  5. IMPORTANT MATHEMATICAL SYMBOLS AND NOTATIONS
  6. PREFACE
  7. INTRODUCTION
  8. Chapter 1. Review of basic notions and concepts of analysis
  9. Chapter 2. Function spaces: a basic summary
  10. Chapter 3. Linear operators and functionals
  11. Chapter 4. Sobolev spaces and boundary value problems
  12. Chapter 5. Variational methods and convex analysis
  13. Chapter 6. Discrete solutions of variational boundary value problems - the method of finite elements
  14. Chapter 7. Variational inequalities,
  15. Chapter 8. Overview of some basic problems in solid mechanics
  16. Chapter 9. Variational principles and finite element models in elasticity
  17. Chapter 10. Special applications of variational methods and variational inequalities in elasticity and plasticity
  18. Chapter 11. Eigenvalue and stability problems
  19. References
  20. Index