Finite Element Analysis detailed syllabus for Materials Science & Engineering (MSE) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the MSE students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Materials Science & Engineering 5th Sem scheme and its subjects, do visit MSE 5th Sem 2021 regulation scheme. For Professional Elective-I scheme and its subjects refer to MSE Professional Elective-I syllabus scheme. The detailed syllabus of finite element analysis is as follows.
Course Objectives:
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Unit I
INTRODUCTION 9
Historical Background – Mathematical Modeling of field problems in Engineering -Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen Value problems-Weighted Residual Methods – Variational Formulation of Boundary Value Problems – Ritz Technique – Basic concepts of the Finite Element Method.
Unit II
ONE-DIMENSIONAL PROBLEMS 9
One Dimensional Second Order Equations – Discretization – Element types- Linear and Higher order Elements – Derivation of Shape functions and Stiffness matrices and force vectors-Assembly of Matrices – Solution of problems from solid mechanics including thermal stresses-heat transfer. Natural frequencies of longitudinal vibration and mode shapes. Fourth Order Beam Equation -Transverse deflections and Transverse Natural frequencies of beams.
Unit III
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Unit IV
TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS 9
Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Constitutive matrices and Strain displacement matrices – Stiffness matrix – Stress calculations – Plate and shell elements.
Unit V
ISOPARAMETRIC FORMULATION AND ADVANCED TOPICS 9
Natural co-ordinate systems – Isoparametric elements – Shape functions for isoparametric elements – One and two dimensions – Serendipity elements – Numerical integration – Matrix solution techniques – Solutions Techniques to Dynamic problems – Introduction to Analysis SoftwareIntroduction to Non Linearity.
Course Outcomes:
Upon completion of this course, the students will be able to:
- Develop mathematical models for Boundary Value Problems and their numerical solution
- Apply concepts of Finite Element Analysis to solve one dimensional problems
- Determine field variables for two dimensional scalar variable problems
- Determine field variables for two dimensional vector variable problems
- Apply the need for Isoparametric transformation and the use of numerical integration
Text Books:
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Reference Books:
- David Hutton, “Fundamentals of Finite Element Analysis”, Tata McGrawHill, 2005
- Dhanaraj. R and Prabhakaran Nair. K, “Finite Element Analysis”, Oxford Publications, 2015.
- 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.
- Seshu.P, “Text Book of Finite Element Analysis”, PHI Learning Pvt. Ltd., NewDelhi, 2012.
- Tirupathi R. Chandrupatla and Ashok D. Belegundu, “Introduction to Finite Elements in Engineering”, International Edition, Pearson Education Limited, 2014.
For detailed syllabus of all the other subjects of Materials Science & Engineering 5th Sem, visit MSE 5th Sem subject syllabuses for 2021 regulation.
For all Materials Science & Engineering results, visit Anna University MSE all semester results direct link.