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  • © 2016

Automation of Finite Element Methods

  • Presents the power of symbolic computations which are able to automatically generate efficient and highly compressed code for linear and nonlinear problems

  • Develops new formulations and discretization schemes that account for the needs of advanced applications in engineering

  • Shows how fast and reliable code can be created based on the symbolic system AceGen with a minimum of effort

  • The use of AceGen is described for applications in solids mechanics

  • Intended for students and engineers who want to develop new finite element formulations, especially for nonlinear problems

  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxviii
  2. Basic Equations of Continuum Mechanics

    • Jože Korelc, Peter Wriggers
    Pages 1-28
  3. Automation of Research in Computational Modeling

    • Jože Korelc, Peter Wriggers
    Pages 29-68
  4. Automation of Primal Analysis

    • Jože Korelc, Peter Wriggers
    Pages 69-96
  5. Automation of Discretization Techniques

    • Jože Korelc, Peter Wriggers
    Pages 97-135
  6. Materials

    • Jože Korelc, Peter Wriggers
    Pages 137-179
  7. Continuum Elements

    • Jože Korelc, Peter Wriggers
    Pages 181-215
  8. Structural Elements

    • Jože Korelc, Peter Wriggers
    Pages 217-254
  9. Automation of Sensitivity Analysis

    • Jože Korelc, Peter Wriggers
    Pages 255-309
  10. Erratum to: Automation of Finite Element Methods

    • Jože Korelc, Peter Wriggers
    Pages E1-E1
  11. Back Matter

    Pages 311-346

About this book

New finite elements are needed as well in research as in industry environments for the
development of virtual prediction techniques. The design and implementation of novel finite
elements for specific purposes is a tedious and time consuming task, especially for nonlinear
formulations. The automation of this process can help to speed up this process
considerably since the generation of the final computer code can be accelerated by order of
several magnitudes.
This book provides the reader with the required knowledge needed to employ modern
automatic tools like AceGen within solid mechanics in a successful way. It covers the range
from the theoretical background, algorithmic treatments to many different applications. The
book is written for advanced students in the engineering field and for researchers in
educational and industrial environments.

Reviews

“This book shows how an automated finite element method could be efficiently applied to problems of solid mechanics. … The book is intended for students and engineers who want to develop new finite element formulations, especially for nonlinear problems of solid continuum mechanics.” (V. Leontiev, zbMATH 1367.74001, 2017) 

Authors and Affiliations

  • Faculty of Civil and Geodetic Eng., University of Ljubljana, Ljubljana, Slovenia

    Jože Korelc

  • Leibniz University Hannover , Hannover, Germany

    Peter Wriggers

Bibliographic Information

  • Book Title: Automation of Finite Element Methods

  • Authors: Jože Korelc, Peter Wriggers

  • DOI: https://doi.org/10.1007/978-3-319-39005-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-39003-1Published: 16 June 2016

  • Softcover ISBN: 978-3-319-81790-3Published: 07 June 2018

  • eBook ISBN: 978-3-319-39005-5Published: 08 June 2016

  • Edition Number: 1

  • Number of Pages: XXVIII, 346

  • Number of Illustrations: 36 b/w illustrations, 10 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Solid Mechanics, Complexity, Classical Mechanics

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access