A Textbook of Finite Element Analysis Formulation and Programming

Contents: 1. Introduction to finite element method. 2. Steps in finite element method. 3. Constitutive relations. 4. Principle of virtual work and energy principles. 5. Isoparametric finite element. 6. Numerical integration. 7. Solution of finite element equation. 8. Solid under plane stress condition. 9. Solid under plane strain condition. 10. Axisymmetric solids. 11. Three dimensional solid. 12. Truss and beam finite element. 13. Plate finite element. 14. Variational methods. 15. Heat transfer, fluid flow and torsion. 16. Finite elements in dynamics and vibration. 17. Shell finite elements. 18. Programming finite element method. 19. Finite element analysis software packages. 20. Material nonlinearity. Index. A Textbook of Finite Element Analysis presents detailed finite element formulation for 1D, 2D, 3D trusses, beams, frames, plane stress, plane strain, axisymmetric, 3D problems, plates and shell problems. The book includes chapters on solving finite element equations and numerical integration and a chapter on programming finite element method with input and output for different types of problems. Chapters on advanced topics like heat transfer, fluid flow and torsion, finite element software, variational methods, finite elements in dynamics and vibrations, material nonlinearity and geometric nonlinearity have also been dealt with. Most of the chapters include element formulation with worked out examples, exercises and questions. (jacket).…