Finite Element Modeling for Materials Engineers Using MATLABŪ

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Springer Science & Business Media, Jul 23, 2011 - Computers - 120 pages
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The finite element method is often used for numerical computation in the applied sciences. It makes a major contribution to the range of numerical methods used in the simulation of systems and irregular domains, and its importance today has made it an important subject of study for all engineering students.

While treatments of the method itself can be found in many traditional finite element books, Finite Element Modeling for Materials Engineers Using MATLABŪ combines the finite element method with MATLAB to offer materials engineers a fast and code-free way of modeling for many materials processes.

Finite Element Modeling for Materials Engineers Using MATLABŪ covers such topics as:

  • developing a weak formulation as a prelude to obtaining the finite element equation,
  • interpolation functions,
  • derivation of elemental equations, and
  • use of the Partial Differential Equation ToolboxTM.

Exercises are given based on each example and m-files based on the examples are freely available to readers online.

Researchers, advanced undergraduate and postgraduate students, and practitioners in the fields of materials and metallurgy will find Finite Element Modeling for Materials Engineers Using MATLABŪ a useful guide to using MATLAB for engineering analysis and decision-making.

 

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Contents

For the Reader
1
1 Introduction
2
2 The Weak Formulation
3
3 Linear Interpolation Functions
13
4 Derivation of Element Matrices Assembly and Solution of the Finite Element Equation
34
5 Steps to Modeling Using PDEtoolboxtrade Graphics Interface
59
6 Application of PDEtoolboxtrade to Heat Transfer Problems
73
7 Application of PDEtoolboxTM to Elasticity Problems
85
Sample Mcodes for Exercisesin the Text
105
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About the author (2011)

Oluleke Oluwole is a Senior Lecturer and former Ag. Head of the Mechanical Engineering Department at the University of Ibadan, Ibadan, Nigeria. He has also lectured at Obafemi Awolowo University, Ile-ife, Nigeria. Outside academia he has been Production Engineer at the Coksee Engineering Works, Lagos, Nigeria, and Controller at GP Cars, London, UK. He has published several papers in international journals.