Basic concepts - Different approaches in Finite Element - Various methods in Finite Element Methods - Steps involved in FEM.
Interpolation Polynomials - Linear elements Shape function - Element and Global matrices - Two dimensional elements, triangular and rectangular elements - Local and Natural Co-ordinate systems.
Field problems, Steady state problems - Torsional problem - Fluid flow and Heat transfer problems - Acoustic vibrations – Application in manufacturing problems – metal cutting and metal forming.
Finite element Solution of structural problems - Two dimensional elasticity problems.
Higher Order Elements and Numerical Methods - Evaluation of shape functions - Numerical Integration, Gauss Legendre quadrature - Solution of finite element equations - Cholesky decomposition, Skyline storage - Computer implementation- Use of FEM software.
REFERENCES
1) Larry J Segerlind,, “Applied Finite Element Analysis”, John Wiley, 1984..
2) Bathe KJ, “Finite Element Procedures”, Prentice Hall, 1994.
3) Huebner K H & Thornton E A, “The Finite Elment Methods for Engineers”, John Wiley,
1982.
