SF 9005 FINITE ELEMENT METHOD AND APPLICATIONS SYLLABUS | ANNA UNIVERSITY ME SOIL MECHANICS AND FOUNDATION ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME SOIL MECHANICS AND FOUNDATION ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
SF 9005 FINITE ELEMENT METHOD AND APPLICATIONS L T P C
3 0 0 3
OBJECTIVE:
To understand the basic concepts, principles and other formulation in finite
element method and its application in geotechnical engineering through
software.
UNIT I BASIC CONCEPTS 9
Basic concepts - Discretization of continuum, typical elements, the element
characteristic matrix, element assembly and solution for unknowns - Applications.
11
UNIT II VARIATIONAL PRINCIPLES 9
Variational principles, variational formulation of boundary value problems, variational
methods approximation such as Ritz and weighted residual (Galerkin) methods,
Applications.
UNIT III DISPLACEMENTS BASED ELEMENTS 9
Displacements based elements, finite elements for axial symmetry. One-dimensional
problems of stress, deformation and flow, assembly, convergence requirements,
Finite elements analysis of two-dimensional problems. The linear and quadratic
triangle, Natural coordinates.
UNIT IV ISOPARAMETRIC FORMULATION 9
Isoparametric formulation – Isoparametric bar element – plane bilinear isoparametric
element – refined elements – Numerical integration techniques.
UNIT V APPLICATIONS IN GEOTECHNICAL ENGINEERING 9
Use of FEM to Problems in soils and rocks, Introduction to non-linearity. Description
and application to consolidation, seepage and soil – structure interaction problems.
TOTAL: 45 PERIODS
REFERENCES:
1. Cook, R.D., Malkus, D.S., and Plesha, M.E., Concepts and Applications of
Finite Element Analysis, John Wiley, 1989.
2. Reddy, J.N., An Introduction to the Finite Element Method, McGraw Hill,
1984.
3. Chadrupatla, R.T., and Belegundu. A.D, Introduction to Finite Elements in
Engineering, Third Edition, Prentice- Hall, 2006.
4. Rockey, K.C., Erans, H.R., Griffiths, D.W., and Nethercot, D.A., The Finite
Element method, Grostry Lockwood Staples, London, 1975.
5. Rajasekaran, S., Finite Element Analysis in Engg Design, Wheller Publishing,
Allahabad, 1993.
6. Smith, I.M., Programming the Finite Element Method with Application to
Geomechanics, John Wiley and sons, New Delhi, 2000.
7. Gupta, O.P. Finite and Boundary Element Methods in Engineering, Oxford &
IBH Publishing Co., Pvt. Ltd., New Delhi, 2000.
8. Rao, S.S. The finite element method in Engg, Butterworth - Heinemann.,
1998.
9. Potts, D.M. and Zdramcovic, L., Finite Element analysis in Geotechnical
Engineering - Application, Thomas Telford, 2001.
10. Shen, J. and Kushwaha. R.L., Soil-Machine Interaction - A finite element
perspective, Moral Dikker, Inc. 1998.
SF 9005 FINITE ELEMENT METHOD AND APPLICATIONS L T P C
3 0 0 3
OBJECTIVE:
To understand the basic concepts, principles and other formulation in finite
element method and its application in geotechnical engineering through
software.
UNIT I BASIC CONCEPTS 9
Basic concepts - Discretization of continuum, typical elements, the element
characteristic matrix, element assembly and solution for unknowns - Applications.
11
UNIT II VARIATIONAL PRINCIPLES 9
Variational principles, variational formulation of boundary value problems, variational
methods approximation such as Ritz and weighted residual (Galerkin) methods,
Applications.
UNIT III DISPLACEMENTS BASED ELEMENTS 9
Displacements based elements, finite elements for axial symmetry. One-dimensional
problems of stress, deformation and flow, assembly, convergence requirements,
Finite elements analysis of two-dimensional problems. The linear and quadratic
triangle, Natural coordinates.
UNIT IV ISOPARAMETRIC FORMULATION 9
Isoparametric formulation – Isoparametric bar element – plane bilinear isoparametric
element – refined elements – Numerical integration techniques.
UNIT V APPLICATIONS IN GEOTECHNICAL ENGINEERING 9
Use of FEM to Problems in soils and rocks, Introduction to non-linearity. Description
and application to consolidation, seepage and soil – structure interaction problems.
TOTAL: 45 PERIODS
REFERENCES:
1. Cook, R.D., Malkus, D.S., and Plesha, M.E., Concepts and Applications of
Finite Element Analysis, John Wiley, 1989.
2. Reddy, J.N., An Introduction to the Finite Element Method, McGraw Hill,
1984.
3. Chadrupatla, R.T., and Belegundu. A.D, Introduction to Finite Elements in
Engineering, Third Edition, Prentice- Hall, 2006.
4. Rockey, K.C., Erans, H.R., Griffiths, D.W., and Nethercot, D.A., The Finite
Element method, Grostry Lockwood Staples, London, 1975.
5. Rajasekaran, S., Finite Element Analysis in Engg Design, Wheller Publishing,
Allahabad, 1993.
6. Smith, I.M., Programming the Finite Element Method with Application to
Geomechanics, John Wiley and sons, New Delhi, 2000.
7. Gupta, O.P. Finite and Boundary Element Methods in Engineering, Oxford &
IBH Publishing Co., Pvt. Ltd., New Delhi, 2000.
8. Rao, S.S. The finite element method in Engg, Butterworth - Heinemann.,
1998.
9. Potts, D.M. and Zdramcovic, L., Finite Element analysis in Geotechnical
Engineering - Application, Thomas Telford, 2001.
10. Shen, J. and Kushwaha. R.L., Soil-Machine Interaction - A finite element
perspective, Moral Dikker, Inc. 1998.
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