Syllabus
Introduction – approximate solutions to governing differential equations (GDE) – finite element formulations starting from GDE – finite element formulations based on stationarity of a functional – one-dimensional finite element analysis; shape functions, types of elements and applications – two and three-dimensional finite elements – numerical integration – applications to structural mechanics and fluid flow.
Text Books
Same as Reference
References
1. Reddy, J. N., Introduction to the Finite Element Method, 3rd ed., McGraw-Hill (2006).
2. Seshu, P., Textbook of Finite Element Analysis, Prentice Hall of India (2009).
3. Chandrupatla, T. R. and Belegundu, A. D., Introduction to Finite Elements in Engineering, 2 nd ed., Prentice Hall of India (2000).
4. Segerlind, L. J., Applied Finite Element Analysis, 2nd ed., John Wiley (1984). (1992).
Course Outcomes (COs):
CO1: Students should have an understanding of the theory and procedures of Finite Element
CO2: Develop 1D & 2D elements for structural mechanics problems. Solve problems related to element formulation both from GDE and Potential, and those related to numerical integration.
CO3: Should be able to develop a code for simple 1D & 2D FE problems so that proper element selection, convergence, input and output are understood by the students. Should be able to implement the various procedures of FE to create the code.
CO4: Use a commercial FE program to solve a 2D sufficiently complex problem wherein modelling, element selection, and post-processing issues are understood. Should be able to differentiate and compare between some of the elements available for the solution of a problem. Analyse the issues that could occur due to improper selection of elements .