CE2050 FINITE ELEMENT TECHNIQUES Syllabus

CE2050 FINITE ELEMENT TECHNIQUES

To Download 7th SEM-->CE 2050 FINITE ELEMENT TECHNIQUES Syllabus click HERE

OBJECTIVE
 At the end of this course the student shall have a basic knowledge of finite element
method and shall be able to analyse linear elastic structures, that he has studied about
in core courses, using finite element method.
UNIT I INTRODUCTION – VARIATIONAL FORMULATION 9
General field problems in Engineering – Modelling – Discrete and Continuous models –
Characteristics – Difficulties involved in solution – The relevance and place of the finite element
method – Historical comments – Basic concept of FEM, Boundary and initial value problems –
Gradient and divergence theorems – Functionals – Variational calculus Variational formulation
of VBPS. The method of weighted residuals – The Ritz method.
UNIT II FINITE ELEMENT ANALYSIS OF ONE DIMENSIONAL PROBLEMS 10
One dimensional second order equations – discretisation of domain into elements –
Generalised coordinates approach – derivation of elements equations – assembly of elements
equations – imposition of boundary conditions – solution of equations – Cholesky method – Post
processing – Extension of the method to fourth order equations and their solutions – time
dependant problems and their solutions – example from heat transfer, fluid flow and solid
mechanics.
UNIT III FINITE ELEMENT ANALYSIS OF TWO DIMENSIONAL PROBLEMS 10
Second order equation involving a scalar-valued function – model equation – Variational
formulation – Finite element formulation through generalised coordinates approach – Triangular
elements and quadrilateral elements – convergence criteria for chosen models – Interpolation
functions – Elements matrices and vectors – Assembly of element matrices – boundary
conditions – solution techniques.
UNIT IV ISOPARAMETRIC ELEMENTS AND FORMULATION 8
Natural coordinates in 1, 2 and 3 dimensions – use of area coordinates for triangular elements
in - 2 dimensional problems – Isoparametric elements in 1,2 and 3 dimensional Largrangean
and serendipity elements – Formulations of elements equations in one and two dimensions -
Numerical integration.
UNIT V APPLICATIONS TO FIELD PROBLEMS IN TWO DIMENSIONALS 8
Equations of elasticity – plane elasticity problems – axisymmetric problems in elasticity –
Bending of elastic plates – Time dependent problems in elasticity – Heat – transfer in two
dimensions – incompressible fluid flow
TOTAL: 45 PERIODS
TEXT BOOK
1. Chandrupatla, T.R., and Belegundu, A.D., “Introduction to Finite Element in
Engineering”, Third Edition, Prentice Hall, India, 2003.
2. Bhavikati , S.S., “Finite Element Analysis “, New Age International Publishers , 2005.
REFERENCES
1. J.N.Reddy, “An Introduction to Finite Element Method”, McGraw-Hill, Intl. Student Edition,
1985.
2. Zienkiewics, “The finite element method, Basic formulation and linear problems”, Vol.1, 4/e,
McGraw-Hill, Book Co.
3. S.S.Rao, “The Finite Element Method in Engineering”, Pergaman Press, 2003.
4. C.S.Desai and J.F.Abel, “Introduction to the Finite Element Method”, Affiliated East West
Press, 1972.