The Finite Element Method A Practical Course.pdf: The Finite Element Method A Practical Course.pdf

Preface xi
1 Computational Modelling 1
1.1 Introduction 1
1.2 Physical Problems in Engineering 3
1.3 Computational Modelling using the FEM 4
1.4 Simulation 7
1.5 Visualization 9
2 Introduction to Mechanics for Solids and Structures 12
2.1 Introduction 12
2.2 Equations for Three-Dimensional Solids 13
2.3 Equations for Two-Dimensional Solids 19
2.4 Equations for Truss Members 22
2.5 Equations for Beams 24
2.6 Equations for Plates 28
2.7 Remarks 34
3 Fundamentals for Finite Element Method 35
3.1 Introduction 35
3.2 Strong and Weak Forms 36
3.3 Hamilton’s Principle 37
3.4 FEM Procedure 38
3.5 Static Analysis 58
3.6 Analysis of Free Vibration (Eigenvalue Analysis) 58
3.7 Transient Response 60
3.8 Remarks 64
3.9 Review Questions

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