ME 807-Finite Elements Method and its Applications
Introduction: basic concept of the finite element method, comparison with finite difference method; Variational methods: calculus of
variation, the Rayleigh-Ritz and Galerkin methods; Finite Element analysis of 1-D problems: formulation by different approaches
(direct, potential energy and Galerkin); Derivation of elemental equations and their assembly, solution and its postprocessing.
Applications in heat transfer, fluid mechanics and solid mechanics.Bending of beams, analysis of truss and frame. Finite element
analysis of 2-D problems: finite element modelling of single variable problems, triangular and rectangular elements; Applications in
heat transfer, fluid mechanics and solid mechanics; Numerical considerations: numerical integration, error analysis, mesh refinement.
Plane stress and plane strain problems; Bending of plates; Eigen value and time dependent problems; Discussion about preprocessors,
post processors and finite element packages.
Reference Books:
1. An Introduction to the Finite Element Method by J.N.Reddy, McGrawHill, NewYork.
2. Concepts and Applications of Finite Element Analysis by R.D.Cook, D.S.Malkus and M.E.Plesha, 3rd ed., John Wiley, New York.
3. The Finite Element Method by O.C.Zienkiewicz and R.L.Taylor, 3rd ed. McGraw-Hill.
4. The Finite Element Method by T.J.T Hughes, PrenticeHall, Englewood Cliffs, NJ.
5. Concepts of finite element method, Selvam, Scitech