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Introductory Lectures on the Finite Element Method

Course Held at the Department of Mechanics of Solids, July 1972

  • Book
  • © 1972

Overview

Authors:
  1. Olgierd C. Zienkiewicz

    1. University of Wales, Swansea, UK

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 130)

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Table of contents (15 chapters)

  1. Front Matter

    Pages 1-4
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  2. Historical development and discrete analysis

    • Olgierd C. Zienkiewicz
    Pages 5-8

  3. Virtual work principles in FEM

    • Olgierd C. Zienkiewicz
    Pages 9-15

  4. Variational principles in FEM

    • Olgierd C. Zienkiewicz
    Pages 15-16

  5. Weighted residual formulation in FEM

    • Olgierd C. Zienkiewicz
    Pages 17-27

  6. Element shape functions (basic functions)

    • Olgierd C. Zienkiewicz
    Pages 28-29

  7. Isoparametric elements and numerical integration

    • Olgierd C. Zienkiewicz
    Pages 30-37

  8. Finite differences and FEM

    • Olgierd C. Zienkiewicz
    Pages 38-40

  9. Thick shell solution

    • Olgierd C. Zienkiewicz
    Pages 40-44

  10. Application to two phase (porous) solids

    • Olgierd C. Zienkiewicz
    Pages 45-56

  11. General treatment of non-linear problems

    • Olgierd C. Zienkiewicz
    Pages 57-61

  12. Material non-linearity in solid mechanics

    • Olgierd C. Zienkiewicz
    Pages 62-70

  13. Plasticity formulation

    • Olgierd C. Zienkiewicz
    Pages 71-74

  14. Viscoplasticity formulation

    • Olgierd C. Zienkiewicz
    Pages 74-76

  15. Transients — parabolic problems

    • Olgierd C. Zienkiewicz
    Pages 77-87

  16. Transients — hyperbolic problems

    • Olgierd C. Zienkiewicz
    Pages 88-93

  17. Back Matter

    Pages 95-99
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Keywords

Authors and Affiliations

  • University of Wales, Swansea, UK

    Olgierd C. Zienkiewicz

Bibliographic Information

  • Book Title: Introductory Lectures on the Finite Element Method

  • Book Subtitle: Course Held at the Department of Mechanics of Solids, July 1972

  • Authors: Olgierd C. Zienkiewicz

  • Series Title: CISM International Centre for Mechanical Sciences

  • DOI: https://doi.org/10.1007/978-3-7091-2973-9

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 1972

  • Softcover ISBN: 978-3-211-81202-0Published: 09 March 1982

  • eBook ISBN: 978-3-7091-2973-9Published: 04 May 2014

  • Series ISSN: 0254-1971

  • Series E-ISSN: 2309-3706

  • Edition Number: 1

  • Number of Pages: 99

  • Topics: Theoretical and Applied Mechanics

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