Nonlinear Finite Elements for Continua and Structures
eBook - ePub

Nonlinear Finite Elements for Continua and Structures

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Nonlinear Finite Elements for Continua and Structures

About this book

Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures

This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity.

Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems.

Key features:

  • Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis
  • Covers many of the material laws used in today's software and research
  • Introduces advanced topics in nonlinear finite element modelling of continua
  • Introduction of multiresolution continuum theory and XFEM
  • Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code

Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.

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 Finite Elements for Continua and Structures by Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary in PDF and/or ePUB format, as well as other popular books in Scienze fisiche & Meccanica. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2013
Print ISBN
9781118632703
eBook ISBN
9781118700082
Edition
2
Subtopic
Meccanica

Table of contents

  1. Cover
  2. Title page
  3. Copyright page
  4. Dedication
  5. Foreword
  6. Preface
  7. List of Boxes
  8. 1 Introduction
  9. 2 Lagrangian and Eulerian Finite Elements in One Dimension
  10. 3 Continuum Mechanics
  11. 4 Lagrangian Meshes
  12. 5 Constitutive Models
  13. 6 Solution Methods and Stability
  14. 7 Arbitrary Lagrangian Eulerian Formulations
  15. 8 Element Technology
  16. 9 Beams and Shells
  17. 10 Contact-Impact
  18. 11 EXtended Finite Element Method (XFEM)
  19. 12 Introduction to Multiresolution Theory
  20. 13 Single-Crystal Plasticity
  21. Appendix 1: Voigt Notation
  22. Appendix 2: Norms
  23. Appendix 3: Element Shape Functions
  24. Appendix 4: Euler Angles from Pole Figures
  25. Appendix 5: Example of Dislocation-Density Evolutionary Equations
  26. Glossary
  27. References
  28. Index
  29. Companion website