Finite Elements Methods in Mechanics

  • M. Reza Eslami

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 216)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. M. Reza Eslami
    Pages 1-5
  3. M. Reza Eslami
    Pages 7-34
  4. M. Reza Eslami
    Pages 35-55
  5. M. Reza Eslami
    Pages 57-77
  6. M. Reza Eslami
    Pages 79-94
  7. M. Reza Eslami
    Pages 95-117
  8. M. Reza Eslami
    Pages 119-156
  9. M. Reza Eslami
    Pages 157-186
  10. M. Reza Eslami
    Pages 187-207
  11. M. Reza Eslami
    Pages 209-228
  12. M. Reza Eslami
    Pages 229-236
  13. M. Reza Eslami
    Pages 237-253
  14. M. Reza Eslami
    Pages 255-284
  15. M. Reza Eslami
    Pages 285-312
  16. M. Reza Eslami
    Pages 313-330
  17. M. Reza Eslami
    Pages 331-361
  18. M. Reza Eslami
    Pages 363-370

About this book

Introduction

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams, and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems, and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

Keywords

Elasticity and Thermoelasticity Finite Element Galerkin Formulation Heat and Fluid Flow Variational Formulation

Authors and affiliations

  • M. Reza Eslami
    • 1
  1. 1.Mechanical Engineering DepartmentAmirkabir University of TechnologyTehranIran

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08037-6
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-08036-9
  • Online ISBN 978-3-319-08037-6
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • About this book