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.