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The Finite Element Method in Structural Mechanics

Principles and Practice of Design of Field-consistent Elements for Structural and Solid Mechanics

  • Book
  • © 1993

Overview

Authors:
  1. G. Prathap

    1. Structures Division, National Aerospace Laboratory, Bangalore, India

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Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 24)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • G. Prathap
    Pages 1-32

  3. The Shear Flexible Beam Element

    • G. Prathap
    Pages 33-71

  4. Simple Curved Beam Elements

    • G. Prathap
    Pages 73-98

  5. Non-linear mapping and covariant strain approaches

    • G. Prathap
    Pages 99-124

  6. Variationally Incorrect Formulations

    • G. Prathap
    Pages 125-152

  7. General Curved Beam Elements

    • G. Prathap
    Pages 153-199

  8. Plane stress elements

    • G. Prathap
    Pages 201-221

  9. Plate Elements

    • G. Prathap
    Pages 223-286

  10. Brick Elements

    • G. Prathap
    Pages 287-336

  11. General Shell Elements

    • G. Prathap
    Pages 337-361

  12. Elements for varying moduli, thermo-mechanical and initial strain/stress problems

    • G. Prathap
    Pages 363-386

  13. Variational bases: A philosophical summing-up

    • G. Prathap
    Pages 387-406

  14. Back Matter

    Pages 407-414
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Keywords

About this book

This book is not intended to be a text-book, delineating the full scope of finite element methodology, nor is it a comprehensive handbook of modern finite element practice for the finite element engineer. There are enough books that serve to do these and more. It is however intended as a monograph or treatise on a very specific area - the design of robust and accurate elements for applications in struc­ tural mechanics. It attempts to describe the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis invested in it and which can be admitted as science as the subject evolved and came to be accepted. The principles of structural mechanics as a branch of physics are well founded and have a sound scientific basis. The mathematical description of it has also a long history and is rigorously based on the infinitesimal and variational calculus. Of much more recent origin has been the branch of knowledge dealing with the numerical modelling of the beha­ viour of structural material. The most powerful method available to do this today is the finite element method. It is eminently suited to carry out the entire cycle of design and analysis of a structural configuration on a digital computer.

Authors and Affiliations

  • Structures Division, National Aerospace Laboratory, Bangalore, India

    G. Prathap

Bibliographic Information

  • Book Title: The Finite Element Method in Structural Mechanics

  • Book Subtitle: Principles and Practice of Design of Field-consistent Elements for Structural and Solid Mechanics

  • Authors: G. Prathap

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-017-3319-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1993

  • Hardcover ISBN: 978-0-7923-2492-8Published: 30 September 1993

  • Softcover ISBN: 978-90-481-4326-9Published: 05 December 2010

  • eBook ISBN: 978-94-017-3319-9Published: 09 March 2013

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: X, 414

  • Topics: Engineering, general, Mathematical and Computational Engineering, Numeric Computing

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