ED4091 Advanced Finite Element Analysis Syllabus:
ED4091 Advanced Finite Element Analysis Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES
1. To study concept of Finite Element Analysis to solve problems involving plate and shell elements
2. To learn concept of Finite Element Analysis to solve problems involving geometric and material non linearity
3. To study solution techniques to solve dynamic problems
4. To study the concepts of Finite Element Analysis to solve fluid mechanics and heat transfer problems
5. To study error norms, convergence rates and refinement.
UNIT-I BENDING OF PLATES AND SHELLS
Review of Elasticity Equations – Bending of Plates and Shells – Finite Element Formulation of Plate and Shell Elements – Conforming and Non-Conforming Elements – C0 and C1 Continuity Elements –Degenerated shell elements-Application and Examples.
UNIT-II NON-LINEAR PROBLEMS
Introduction – Iterative Techniques – Material non-linearity – Elasto Plasticity – Plasticity – Visco Plasticity – Geometric Non linearity – large displacement Formulation –Solution procedure Application in Metal Forming Process and Contact Problems.
UNIT-III DYNAMIC PROBLEM
Direct Formulation – Free, Transient and Forced Response – Solution Procedures – Eigen solution-Sub space Iterative Technique – Response analysis – Houbolt, Wilson, Newmark– Methods – Explicit & Implict Methods-Lanchzos, Reduced method for large size system equations.
UNIT-IV FLUID MECHANICS AND HEAT TRANSFER
Governing Equations of Fluid Mechanics – Solid structure interaction – Inviscid and Incompressible Flow – Potential Formulations – Slow Non-Newtonian Flow – Metal and Polymer Forming–Navier Stokes Equation–Steady and Transient Solution.
UNIT-V ERROR ESTIMATES AND ADAPTIVE REFINEMENT
Error norms and Convergence rates–h-refinement with adaptivity–Adaptive refinement.
COURSE OUTCOMES:
On Completion of the course the student will be able to
CO1 Apply concept of Finite Element Analysis to solve problems involving plate and shell elements
CO2 Apply concept of Finite Element Analysis to solve problems involving geometric and material non linearity
CO3 Formulate solution techniques to solve dynamic problems
CO4 Apply concepts of Finite Element Analysis to solve fluid mechanics and heat transfer problems
CO5 Investigate error norms, convergence rates and refinement.
REFERENCES:
1. Bathe K.J., “Finite Element Procedures in Engineering Analysis”, Prentice Hall,1990
2. Logan. D. L.,“A first course in Finite Element Method”, Cengage Learning, 2012
3. Reddy, J.N. “An Introduction to Non linear Finite Element Analysis”, 2nd Edition, Oxford, 2015
4. Robert D.Cook, David S.Malkus, Michael E.Plesha, Robert J.Witt, “Concepts and Applications of Finite Element Analysis”, 4th Edition, Wiley Student Edition, 2004.
5. Tirupathi R. Chandrupatla and Ashok D.Belegundu,“Introduction to Finite Elements in Engineering”,InternationalEdition,PearsonEducationLimited,2014.
6. Zienkiewicz, O. C., Taylor, R. L. and Zhu. J .Z. ,“The Finite Element Method: Its Basis and Fundamentals”,7th Edition, Butterworth-Heinemann,2013.