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Non-Linear Finite Element Analysis in Structural Mechanics

  • Book
  • © 2015

Overview

Authors:
  1. Wilhelm Rust

    1. Faculty II, Department of Mechanical Engineering, University of Applied Sciences and Arts, Hannover, Germany

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  • Contains detailed derivations of formulas

  • Bridges the gap between theory and practice

  • Includes numerical examples and problem sets with solutions

  • Includes supplementary material: sn.pub/extras

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Basic Mathematical Methods

    • Wilhelm Rust
    Pages 1-14

  3. Geometric Nonlinearities

    1. Front Matter

      Pages 15-15
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    2. Geometrically Nonlinear Behaviour

      • Wilhelm Rust
      Pages 17-85

    3. Stability Problems

      • Wilhelm Rust
      Pages 87-109

    4. Load Incrementation in a Non-linear Analysis

      • Wilhelm Rust
      Pages 111-134

  4. Nonlinear Material Behaviour

    1. Front Matter

      Pages 135-135
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    2. Fundamentals of Material Models

      • Wilhelm Rust
      Pages 137-154

    3. Theory and Numerics of the Linear Visco-elasticity

      • Wilhelm Rust
      Pages 155-179

    4. Theory and Numerics of Creep

      • Wilhelm Rust
      Pages 181-208

    5. Theory and Numerics of Elasto-plasticity

      • Wilhelm Rust
      Pages 209-265

  5. Contact

    1. Front Matter

      Pages 267-267
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    2. Contact Analysis: Introduction, Kinematics

      • Wilhelm Rust
      Pages 269-275

    3. Fulfilling the Contact Condition

      • Wilhelm Rust
      Pages 277-300

    4. Aspects of Modelling Contact

      • Wilhelm Rust
      Pages 301-319

    5. Contact Detection

      • Wilhelm Rust
      Pages 321-353

    6. Contact with Shell- and Beam-Elements

      • Wilhelm Rust
      Pages 355-357

  6. Back Matter

    Pages 359-363
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Keywords

About this book

This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.

Reviews

“The goal of the book under review is to show how to implement numerical solutions for nonlinear problems in mechanics, based on finite element methods. … There are several worked out examples, figures, tables, and even commented Fortran codes. … This book might be useful for someone with an engineering background willing to skip the mathematical aspects of nonlinear mechanics and who wants to grasp a broader overview of what sort of numerical techniques might be useful in applications.” (Alexandre L. Madureira, Mathematical Reviews, March, 2016)

Authors and Affiliations

  • Faculty II, Department of Mechanical Engineering, University of Applied Sciences and Arts, Hannover, Germany

    Wilhelm Rust

Bibliographic Information

  • Book Title: Non-Linear Finite Element Analysis in Structural Mechanics

  • Authors: Wilhelm Rust

  • DOI: https://doi.org/10.1007/978-3-319-13380-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-13379-9Published: 20 March 2015

  • Softcover ISBN: 978-3-319-34261-0Published: 05 October 2016

  • eBook ISBN: 978-3-319-13380-5Published: 18 February 2015

  • Edition Number: 1

  • Number of Pages: XIV, 363

  • Number of Illustrations: 188 b/w illustrations, 46 illustrations in colour

  • Topics: Solid Mechanics, Numerical Analysis, Mathematical and Computational Engineering

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