## SF4104 - Theory of Geomechanics (Syllabus) 2021-regulation Anna University

SF4104

THEORY OF GEOMECHANICS

LTPC

4004

OBJECTIVES:
• To impart knowledge required for computing stress and settlement at any point in the semi- infinite elastic soil medium, anisotropic medium and layered deposits due to foundation loads and evaluation of stability of foundations, slopes, cuts and retaining structures both for the conditions of undrained and drained loading through theorems of plastic collapses. Also, to impart knowledge on reliability based design in geotechnical engineering.

UNIT I

THEORY OF ELASTICITY

12

Basic Concepts – Mechanics of continua: Stress and strain - concept of stress and strain – Three dimensional and Two dimensional state of stress – Plane stress, plane strain and axisymmetric problems – equilibrium and compatibility conditions, constitutive relations, stress functions – Two dimensional problems in Cartesian and polar co-ordinates.

UNIT II

STRESS AND DISPLACEMENT

12

Elastic half-space medium – Stress by external loads – Isotropic, anisotropic and non- homogeneous elastic continuum – Boussinesq, Frochlich, Westergaard solutions for force on the surface of semi-infinite medium – Cerruti and Mindlin’s method for force in interior of semi-infinite medium, solutions by influence charts – Elastic displacement – Layered soil – Burmister method.

UNIT III

THEORY OF PLASTICITY

14

Perfect plastic material- theory of plasticity – Hardening law, flow rule. Theorem of plastic collapse – bound theorems – Mechanism for plane plastic collapse – slip fans, stress fans – discontinuities – Simple solutions for undrained and drained loading – Stability of foundations, retaining walls, slopes and cuts. Slip line solutions for undrained and drained conditions.

UNIT IV

FLOW THROUGH POROUS MEDIA

10

Flow through porous media – Darcy’s law – General equation of flow, seepage through isotropic anisotropic and non-homogeneous conditions – Steady state condition, confined and unconfined flow – solution by flow net – seepage pressure – piping.

UNIT V

RISK ANALYSIS IN GEOMECHANICS

12

Spatial variability and random field theory - soil variability and uncertainty quantification - Simple probabilistic methods for reliability analysis in geotechnical engineering - Reliability based design in geotechnical engineering.

TOTAL : 60 PERIODS

OUTCOMES: On completion of the course, the student is expected to be able to
CO1 Explain the basic concept of elasticity, understand the mechanics of continuum and solve field problems
CO2 Analyse stress distribution and displacement in homogeneous, non-homogeneous and anisotropic soil medium under the given loading conditions
CO3 Explain the basic concept of plasticity, understand the mechanism of collapse and solve field problems
CO4 Understand the liquid flow theory, analyse the flow of liquid in different soil medium and verify the stability of geotechnical engineering problems
CO5 Analyse various parameters using probabilistic methods and perform reliability based design in geotechnical engineering related problems

REFERENCES:
1. Aysen, A., Problem solving in Soil Mechanics, Taylor & Francis, London, First Indian Print, 2011.
2. Chowdhury, I., Dasgupta S.P., Dynamics of Structure and Foundations, Taylor & Francis Group, London, 2009.
3. Bolton, M.D; A Guide to Soil Mechanics, University press (India) Pvt.Ltd., 2009
4. Atkinson, J.H; The Mechanics of Soils and Foundations, Taylor and Francis, London, 2007.
5. Aysen, A., Soil Mechanics, Basic concepts and Engineering Applications, A.A.Balkema Publishers, 2002.
6. Ulrich Smoltc, YK, Geotechnical Engineering Handbook (Vol.1), Ernot & Sohn, 2002.
7. Muni Budhu, Soil Mechanics and Foundations, John Wiley and Sons, Inc., Network, 2000.
8. Cedergren, H.R., Seepage, Drainage and Flownets, John Wiley, 1997.
9. Davis, R.O and Selvadurai, A.P.S., Elasticity and Geomechanics, Cambridge University Press, 1996.
10. Wai-Fah Chen, and Liu, X.L., Limit Analysis in Soil Mechanics, Elsevier Science Ltd., 1991.
11. Atkinson, J.H., Foundations and Slopes, McGraw Hill, 1981.
12. Kok-Kwang Phoon Jianye Ching., Risk and Reliability in Geotechnical Engineering, CRC Press, Taylor and Francis Group, 2015.
13. Gordon A. Fenton and D. V. Griffiths, Risk Assessment in Geotechnical Engineering, John Wiley and Sons, Inc., 2008.
14. Gregory B. Baecher and John T. Christian, Reliability and Statistics in Geotechnical Engineering, John Wiley and Sons, Inc., 2003.
15. Braja M. Das, ‘Advanced Soil Mechanics’, 4th edition, CRC Press Taylor & Francis Group, 2014.