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Advanced Finite Element Technologies

  • Book
  • © 2016

Overview

Editors:
  1. Jörg Schröder

    1. Institute of Mechanics, University of Duisburg-Essen, Essen, Germany

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  2. Peter Wriggers

    1. University of Hannover, Hannover, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Provides a unique treatment due to the combination of expert contributions from the fields of engineering and mathematics
  • Addresses an innovative and broad range of finite element methods
  • Many illustrations helps to support understand the mechanical principals
  • Includes supplementary material: sn.pub/extras

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 566)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
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  2. Functional Analysis, Boundary Value Problems and Finite Elements

    • Batmanathan Dayanand Reddy
    Pages 1-15

  3. Discretization Methods for Solids Undergoing Finite Deformations

    • Peter Wriggers
    Pages 17-51

  4. Three-Field Mixed Finite Element Methods in Elasticity

    • Batmanathan Dayanand Reddy
    Pages 53-68

  5. Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics

    • Benjamin Müller, Gerhard Starke
    Pages 69-104

  6. Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems

    • Ruben Sevilla, Antonio Huerta
    Pages 105-129

  7. Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains

    • Jörg Schröder, Alexander Schwarz, Karl Steeger
    Pages 131-175

  8. Theoretical and Numerical Elastoplasticity

    • Batmanathan Dayanand Reddy
    Pages 177-194

  9. On the Use of Anisotropic Triangles with Mixed Finite Elements: Application to an “Immersed” Approach for Incompressible Flow Problems

    • Ferdinando Auricchio, Adrien Lefieux, Alessandro Reali
    Pages 195-236
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About this book

The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.

Editors and Affiliations

  • Institute of Mechanics, University of Duisburg-Essen, Essen, Germany

    Jörg Schröder

  • University of Hannover, Hannover, Germany

    Peter Wriggers

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