This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.
The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of continuous media. Subsequent chapters deal with elastic materials, linearization, variational principles, the use of functional analysis in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text.
- 576 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Mathematical Foundations of Elasticity
About this book
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Dedication
- Contents
- Preface
- Brief Glossary of Conventions and Notations
- A Point of Departure
- 1 Geometry and Kinematics of Bodies
- 2 Balance Principles
- 3 Constitutive Theory
- 4 Linearization
- 5 Hamiltonian and Variational Principles
- 6 Methods of Functional Analysis in Elasticity
- 7 Selected Topics in Bifurcation Theory
- Bibliography
- Index
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Yes, you can access Mathematical Foundations of Elasticity by Jerrold E. Marsden,Thomas J. R. Hughes in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Civil Engineering. We have over 1.5 million books available in our catalogue for you to explore.