Nonlinear Elasticity
eBook - PDF

Nonlinear Elasticity

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison April 16—18, 1973

  1. 414 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonlinear Elasticity

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison April 16—18, 1973

About this book

Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity. Organized into 11 chapters, this book begins with an overview of the nonlinear theory of buckling of elastic shells. This text then examines the ways in which the energy criterion supplies a necessary condition for asymptotic stability. Other chapters consider some of the phenomena, both physical and mathematical, that typify the large deformation of a nonlinearly elastic body. This book discusses as well the concepts leading to a criterion for instabilities and discusses how the criterion applies to some well-known ideal materials. The final chapter deals with the structure of strong shocks and studies the evolution of such a shock produced by a suddenly-applied strain. This book is a valuable resource for mathematicians.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Nonlinear Elasticity by R. W. Dickey in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics Essays. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780122151507
eBook ISBN
9781483264790
Topic
Mathematics
Subtopic
Mathematics Essays
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonlinear Elasticity
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter 1. On the Collapse of Shallow Elastic Membranes
  7. Chapter 2. On the Energy Criterion for Stability
  8. Chapter 3. Monotonicity and Invertibility Conditions in One-Dimensional Nonlinear Elasticity
  9. Chapter 4. Saddle Point Analysis for an Ordinary Differential Equation in a Banach Space, and an Application to Dynamic Buckling of a Beam
  10. Chapter 5. Loading Devices and Stability of Equilibrium
  11. Chapter 6. Approximations and Numerical Analysis of Finite Deformations of Elastic Solids
  12. Chapter 7. Buckling of Complete Spherical Shells under Slightly Nonuniform Loads
  13. Chapter 8. On the Interrelation between Stability and Computations
  14. Chapter 9. On Nonlinear Thermoelasticity and Nonequilibrium Thermodynamics
  15. Chapter 10. Nonlinear Elastic Properties of Molten Plastics
  16. Chapter 11. Nonlinear Wave Propagation in Viscoelastic Materials
  17. Index