Dedication
Biography
Preface to the First Edition
Chapter 1. Computational Modeling
1.1 Introduction
1.2 Physical problems in engineering
1.3 Computational modeling using FEM
1.4 Solution procedure
1.5 Results visualization
Reference
Chapter 2. Briefing on Mechanics for Solids and Structures
2.1 Introduction
2.2 Equations for three-dimensional solids
2.3 Equations for two-dimensional solids
2.4 Equations for truss members
2.5 Equations for beams
2.6 Equations for plates
2.7 Remarks
2.8 Review questions
References
Chapter 3. Fundamentals for Finite Element Method
3.1 Introduction
3.2 Strong and weak forms: problem formulation
3.3 Hamilton’s principle: A weak formulation
3.4 FEM procedure
3.5 Static analysis
3.6 Analysis of free vibration (eigenvalue analysis)
3.7 Transient response
3.8 Remarks
3.9 Review questions
References
Chapter 4. FEM for Trusses
4.1 Introduction
4.2 FEM equations
4.3 Worked examples
4.4 High order one-dimensional elements
4.5 Review questions
References
Chapter 5. FEM for Beams
5.1 Introduction
5.2 FEM equations
5.3 Remarks
5.4 Worked examples
5.5 Case study: resonant frequencies of micro-resonant transducer
5.6 Review questions
References
Chapter 6. FEM for Frames
6.1 Introduction
6.2 FEM equations for planar frames
6.3 FEM equations for space frames
6.4 Remarks
6.5 Case study: finite element analysis of a bicycle frame
6.6 Review questions
References
Chapter 7. FEM for Two-Dimensional Solids
7.1 Introduction
7.2 Linear triangular elements
7.3 Linear rectangular elements
7.4 Linear quadrilateral elements
7.5 Elements for axisymmetric structures
7.6 Higher order elements—triangular element family
7.7 Rectangular Elements
7.8 Elements with curved edges
7.9 Comments on Gauss integration
7.10 Case study: Side drive micro-motor
7.11 Review questions
References
Chapter 8. FEM for Plates and Shells
8.1 Introduction
8.2 Plate elements
8.3 Shell elements
8.4 Remarks
8.5 Case study: Natural frequencies of the micro-motor
8.6 Case study: Transient analysis of a micro-motor
8.7 Review questions
References
Chapter 9. FEM for 3D Solid Elements
9.1 Introduction
9.2 Tetrahedron element
9.3 Hexahedron element
9.4 Higher order elements
9.5 Elements with curved surfaces
9.6 Case study: Stress and strain analysis of a quantum dot heterostructure
9.7 Review questions
References
Chapter 10. Special Purpose Elements
10.1 Introduction
10.2 Crack tip elements
10.3.3 Coupling of FEM and the boundary element method
10.5 Strip element method
10.6 Meshfree methods
10.7 S-FEM
References
Chapter 11. Modeling Techniques
11.1 Introduction
11.2 CPU time estimation
11.3 Geometry modeling
11.4 Meshing
11.5 Mesh compatibility
11.6 Use of symmetry
11.6.4 Repetitive symmetry
11.7 Modeling of offsets
11.8 Modeling of supports
11.9 Modeling of joints
11.10 Other applications of MPC equations
11.11 Implementation of MPC equations
11.12 Review questions
References
Chapter 12. FEM for Heat Transfer Problems
12.1 Field problems
12.2 Weighted residual approach for FEM
12.3 1D heat transfer problem
12.4 2D heat transfer problem
12.5 Summary
12.6 Case study: Temperature distribution of heated road surface
12.7 Review questions
References
Chapter 13. Using FEM Software Packages
13.1 Introduction
13.2 Basic building block: keywords and data lines
13.3 Using sets
13.4 ABAQUS input syntax rules
13.5 Defining a finite element model in ABAQUS
13.6 General procedures
13.7 Remarks (example using a GUI: ANSYS)
References
References
Index
