ME 1705 E2 : FINITE ELEMENT METHOD
Syllabus
Module I
Linear vector spaces- Linear transformations and functionals- linear, bilinear and quadratic forms- theory of normed spaces- theory of inner products spaces- concepts from variational calculus- variational methods of approximation- Ritz method- weighted residual method- Galerkin method- subdomain method-collocation method
Module II
Finite element analysis of one dimensional problems- procedure- I-D elements and interpolation functions-analysis of one dimensional second and fourth order equations- approximation errors in FEM- computer implementation
Module III
Finite element analysis of two dimensional problems- 2-D elements and interpolation functions- 2nd order equations involving a scalar valued function- comments on mesh generation and composition of boundary condition- analysis of plane elasticity and incompressible fluid flow problems- time dependent problems transient heat transfer)- isoparametric elements and numerical integration
Module IV
Alternative formulations- the least square formulations- the mixed formulation- eigen value problem- non linear problems- 3-D elements and interpolation functions- formulation of 3-D problems (2 & 3-D Navier Stokesequations, 3D heat transfer equations)
References:
1) Reddy J. N, An Introduction to Finite Element Method, McGraw Hill, International edition
2) Reddy J. N, Applied Functional Analysis and Variational Methods in Engineering, McGraw Hill, International edition
3) Zenkiewicz O, Finite Element Method, McGraw Hill, International edition
4) Huebner K. H., The Finite Element Method for Engineers, John Wiley.
5) Saeed Moaveni, Finite element analysis Pearson Education
6) S S Rao, The Finite Element Method in Engineering, Elsevier
Type of Questions for University Exam.
Q 1.Eight short answer questions of 5 marks with two questions from each of the four modules. (8x5 = 40 marks)
Q 2. to Q.5 : Two questions A & B of 15 marks from each modules with option to answer either A or B. (4x15 = 60 marks)
