The Catalogue of Computational Material Models

Basic Geometrically Linear Models in 1D

Authors: Steinmann, Paul, Runesson, Kenneth

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  • Gives a comprehensive account of basic computational material models
  • Offers an in-depth theoretical and numerical treatment of material continuum modeling
  • Provides mathematically rigorous presentation based on concepts of complex analysis
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eBook $119.00
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  • Due: April 17, 2021
  • ISBN 978-3-030-63684-5
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Hardcover $159.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 17, 2021
  • ISBN 978-3-030-63683-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
About this book

This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.

About the authors

Paul Steinmann is Professor for Mechanics at the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Germany, where he heads the Institute of Applied Mechanics in the Department of Mechanical Engineering within FAU’s Faculty of Engineering. He is also Director of the Glasgow Computational Engineering Centre (GCEC) in the School of Engineering at the University of Glasgow, UK. His research interests include nonlinear continuum mechanics, material modelling, coupled and multiscale problems and corresponding computational methods both for engineering as well as for biomechanical applications.

Kenneth Runesson is Professor Emeritus of Material and Structural Mechanics at Chalmers University of Technology, Gothenburg, Sweden. His research interests include the computational modelling of coupled problems for porous media including inelasticity, damage and fracture. A trademark is control of discretization and modelling errors via space-time adaptivity. Computational homogenization and scale-bridging strategies are another major research field.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • Due: April 17, 2021
  • ISBN 978-3-030-63684-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover $159.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 17, 2021
  • ISBN 978-3-030-63683-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
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Bibliographic Information

Bibliographic Information
Book Title
The Catalogue of Computational Material Models
Book Subtitle
Basic Geometrically Linear Models in 1D
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-63684-5
DOI
10.1007/978-3-030-63684-5
Hardcover ISBN
978-3-030-63683-8
Edition Number
1
Number of Pages
XII, 402
Number of Illustrations
187 b/w illustrations
Topics