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Finite Element Method

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A Pragmatic Introduction to the
Finite Element Method
for Thermal and Stress Analysis
With the Matlab toolbox
Petr Krysl


Table of Contents 

I Introducing the Galerkin method

1 Model of a Taut Wire

2 The method of Mr. Galerkin

3 Introducing the Matlab code

4 The boundary conditions for the model of a taut wire

II Thermal analysis
 
5 Model of Heat Diffusion

6 Galerkin method for the model of heat conduction

7 Steady-state heat diffusion solutions

8 Transient heat diffusion solutions

9 Expanding the library of element types

10 Convergence and error control

III Stress analysis

11 Model of elastodynamics

12 Galerkin formulation for elastodynamics

13 Finite elements for true 3-D problems

14 Analyzing the stresses

15 Reduced-dimension models: plane strain, plane stress, axisymmetric

16 Convergence



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