# Finite Elements Methods in Mechanics

Book

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

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

### 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

1. 1.Mechanical Engineering DepartmentAmirkabir University of TechnologyTehranIran

### Bibliographic information

• Book Title Finite Elements Methods in Mechanics
• Authors M. Reza Eslami
• Series Title Solid Mechanics and Its Applications
• Series Abbreviated Title Solid Mechanics, Applicat.
• 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 Engineering (R0)
• Hardcover ISBN 978-3-319-08036-9
• Softcover ISBN 978-3-319-38226-5
• eBook ISBN 978-3-319-08037-6
• Series ISSN 0925-0042
• Series E-ISSN 2214-7764
• Edition Number 1
• Number of Pages XVI, 370
• Number of Illustrations 130 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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