The Finite Element Method in Engineering

ISBN-13: 9780128117682 / Angielski / Miękka / 2017 / 782 str.

Singiresu S. Rao

Opis

The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique-an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter on additional FEM topics including extended FEM (X-FEM). Professional engineers will benefit from the introduction to the many useful applications of finite element analysis.

• Includes revised and updated chapters on MATLAB, Ansys and Abaqus
• Offers a new chapter, Additional Topics in Finite Element Method
• Includes discussion of practical considerations, errors and pitfalls in FEM singularity elements
• Features a brief presentation of recent developments in FEM including extended FEM (X-FEM), augmented FEM (A-FEM) and partition of unity FEM (POUFEM)
• Features improved pedagogy, including the addition of more design-oriented and practical examples and problems
• Covers real-life applications, sample review questions at the end of most chapters, and updated references

Spis treści

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)