The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.
This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.
This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering.
- Examples and applications in Matlab, Ansys, and Abaqus
- Structured problem solving approach in all worked examples
- New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems
- More examples and exercises
- All figures revised and redrawn for clarity
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About the Author
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.
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
Table of ContentsOverview of the Finite Element Method
Discretization of the Domain
Higher Order and Isoparametric Elements
Derivation of Element Matrices and Vectors
Assembly of Element Matrices and Vectors and Derivation of System Equations
Numerical Solution of Finite Element Equations
Basic Equations and Solution Procedure
Analysis of Trusses, Beams and Frames
Analysis of Plates
Analysis of 3-Dimensional Problems
Formulation and Solution Procedure
Basic Equations of Fluid Mechanics
Inviscid and Irrotational Flows
Viscous and Non-Newtonian Flows
Solution of Quasi-Harmonic Equations (WEB chapter)
Solution of Helmhotz Equation (WEB chapter)
Solution of Reynolds Equation (WEB chapter)
Appendix A: Green Gauss Theorem
Appendix B: Use of Commercial Software: ANSYS, ABAQUS, and NASTRAN