Interdisciplinary Applied Mathematics

Plasticity

Mathematical Theory and Numerical Analysis

Authors: Han, Weimin, Reddy, B. Daya

  • Book bridging mechanics and mathematics
  • Provides a comprehensive and unified treatment of the mathematical theory and numerical analysis
  •  Focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity
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  • ISBN 978-1-4614-5940-8
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  • ISBN 978-1-4614-5939-2
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  • ISBN 978-1-4899-9594-0
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About this book

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews)

Reviews

“The book is unique in its broad consideration of analytical and numerical aspects of plasticity. … The book is well written and carefully presented overall. It presents a wealth of useful material otherwise absent from other plasticity books. It exposes both the interested mechanician and the interested mathematician to mathematical problems in plasticity in a unified manner, albeit to be pursued in their own way.” (Anurag Gupta, SIAM Review, Vol. 58 (4), December, 2016)


Table of contents (13 chapters)

  • Preliminaries

    Han, Weimin (et al.)

    Pages 3-13

  • Continuum Mechanics and Linearized Elasticity

    Han, Weimin (et al.)

    Pages 15-39

  • Elastoplastic Media

    Han, Weimin (et al.)

    Pages 41-94

  • The Plastic Flow Law in a Convex-Analytic Setting

    Han, Weimin (et al.)

    Pages 95-122

  • Basics of Functional Analysis and Function Spaces

    Han, Weimin (et al.)

    Pages 125-150

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5940-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-5939-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9594-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Plasticity
Book Subtitle
Mathematical Theory and Numerical Analysis
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
9
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-5940-8
DOI
10.1007/978-1-4614-5940-8
Hardcover ISBN
978-1-4614-5939-2
Softcover ISBN
978-1-4899-9594-0
Series ISSN
0939-6047
Edition Number
2
Number of Pages
XVI, 424
Topics