Syllabus
Introduction – approximate solutions to governing differential equations (GDE) – finite element for- mulations 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, 2nd 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 (FE).
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 modeling, 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.