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Finite Element Method

Physics and Solution Methods

  • 1st Edition - July 14, 2022
  • Latest edition
  • Author: Sinan Muftu
  • Language: English

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the fi… Read more

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Description

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams.

Key features

  • Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis
  • Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems
  • Extensive worked examples are provided to help the reader to understand how to apply these methods in practice

Readership

Graduate students of mechanical engineering working on computational problems
Engineers in industry

Table of contents

1. Introduction

2. Mathematical modeling of physical systems

3. Integral formulations and variational methods

4. Finite element formulation of one-dimensional boundary value problems

5. Finite element method for planar bars and trusses

6. Euler–Bernoulli beam element

7. Isoparametric elements for two-dimensional elastic solids

8. Rectangular and triangular elements for two-dimensional elastic solids

9. Finite element solution of one-dimensional heat transfer problems

10. Heat transfer problems in two dimensions

11. Transient thermal analysis

12. Transient analysis of solids and structures

Product details

  • Edition: 1
  • Latest edition
  • Published: July 19, 2022
  • Language: English

About the author

SM

Sinan Muftu

Sinan Müftü is a Professor of Mechanical Engineering at Northeastern University, Boston, USA. His research is in the general area of applied mechanics with applications in tribology and bioengineering, including mechanics of axially translating materials for roll-2-roll manufacturing systems, mechanics of high velocity particle impacts for cold spray additive manufacturing, and structure-function relationships in biological systems. He has taught the finite element method to undergraduate and graduate students in his institution since 2004 and developed customized programs for numerical analysis throughout his career. This book comes out of his experience and observations in teaching and conducting research in applied numerical analysis. Dr. Müftü is an elected fellow of the American Society of Mechanical Engineers for his contributions to mechanics of axially translating media.
Affiliations and expertise
Professor, Department of Mechanical and Industrial Engineering, Northeastern University, Boston, USA

View book on ScienceDirect

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