The Finite Element Method in Engineering

Mechanical Design, Optimization and Reliability in Mechanical and Structural Design, Finite Element methods, Structural Dynamics.RESEARCH/SPECIALIZATION:1. Multi-objective optimization.2. Uncertainty models in engineering analysis, design and optimization.3. Reliability based design.4. Finite element and meshfree methods.5. Optimization and reliability of renewable energy systems.BOOKS PUBLISHED:The Finite Element Method for Engineers, 5e, Elsevier, 2010; Mechanical Vibrations, 6th Edition, Pearson, 2016; Engineering Optimization Theory and Practice, 4th Edition, Wiley, 2009; Reliability Engineering, 1st Edition, Pearson, 2014

Part 1. Introduction1. Overview of the Finite Element Method

Part 2. Basic Procedure2. Discretization of the Domain3. Interpolation Models4. Higher Order and Isoparametric Elements5. Derivation of Element Matrices and Vectors6. Assembly of Element Matrices and Vectors and Derivation of System Equations7. Numerical Solution of Finite Element Equations

Part 3. Application to Solid Mechanics Problems8. Basic Equations and Solution Procedure9. Analysis of Trusses, Beams and Frames10. Analysis of Plates11. Analysis of Three-Dimensional Problems12. Dynamic Analysis

Part 4. Application to Heat Transfer Problems13. Formulation and Solution Procedure14. One-Dimensional Problems15. Two-Dimensional Problems16. Three-Dimensional Problems

Part 5. Application to Fluid Mechanics Problems17. Basic Equations of Fluid Mechanics18. Inviscid and Incompressible Flows19. Viscous and Non-Newtonian Flows

Part 6. Solution and Applications of Quasi-Harmonic Equations20. Solution of Quasi-Harmonic Equations

Part 7. ABAQUS and ANSYS Software and MATLAB® Programs for Finite Element Analysis21. Finite Element Analysis Using ABAQUS22. Finite Element Analysis Using ANSYS23. MATLAB Programs for Finite Element Analysis

AppendixA Comparison of Finite Element Method with other Methods of AnalysisB Green-Gauss Theorem (Integration by Parts in Two and Three Dimensions)