Department of Mechanical & Industrial Engineeringcoretheory
FINITE ELEMENT METHODS
MIE 3122
Syllabus
- 01Introduction to Finite Element Method
- 02steps of FEM
- 03advantages/disadvantages and applications of FEM
- 04discretization and element types
- 05matrix algebra
- 06efficient storage of Banded matrices
- 07matrix solution methods for system of simultaneous equations
- 08Eigen value problem
- 09one/two point Gauss quadrature method of numerical integration
- 10basics of theory of elasticity
- 11plane stress/plane stress/axisymmetric problems
- 12minimum potential energy principle
- 13Rayleigh-Ritz's method
- 14Galerkin's method
- 15Basic concepts of FEM
- 16convergence
- 17Pascal's triangle
- 18higher order quadrilateral/triangular elements
- 19shape functions for Lagrange/Serendipity elements and CST element
- 20application of direct stiffness method for one dimensional axially loaded bar and for one dimensional fluid element
- 21Elimination and Penalty methods of handling boundary conditions
- 22isoparametric formulation of 1D bar element
- 23plane/space truss element
- 24plane/space frame element
- 25triangular element
- 26quadrilateral element
- 27axisymmetric triangular element
- 28tetrahedral and hexahedral elements
- 29Application of the Galerkin's residual method to 1-D structural problem
References
- Chandrupatla T. R. and Belegundu A. D., Introduction to Finite Elements in Engineering, Pearson Education, New York, 2001.
- Logan Daryl L., A First course in Finite Element Method, 4th ed., Thompson Ltd, India, 2007.
- Hutton David V., Fundamentals of Finite Element Analysis, Tata McGraw Hill, India, 2005.
- Reddy J. N., An Introduction to Finite Element Method, 3rd ed., McGraw Hill International Edition, New York, 2006.
- Segerlind Larry J., Applied Finite Element Analysis, 2nd ed., John Wiley, New York, 1984.
- Desai C. S. and Abel J. F., Introduction to the Finite Element Method: a numerical method for engineering analysis, Van Nostrand Reinhold Co., 1971.
- Krishnamoorthy C. S., Finite Element Analysis – Theory & Programming, Tata McGraw-Hill Education, 1994.
Credits Structure
3Lecture
0Tutorial
0Practical
3Total