5ME1: ADVANCED MECHANICS OF SOLIDS
Unit 1
Analysis of Stress in 3-Dimensions: Body force, surface force and stress vectors, state of stress at a point, normal shear stress components, stress component on arbitrary plane, principal stresses in 3-dimensions, stress invariants, decomposition of stress matrix into hydrostatic and pure shear states, Lame's stress ellipsoid, differential equations of equilibrium.
Unit 2
Analysis of Strain in 3-Dimensions: introduction, deformation in neighborhood of a point, change of length of linear element, state of strain at a point, principal axes of strain and principal strains, compatibility conditions.
Unit 3
Stress strain relations for linearity elastic bodies, generalized Hooke's law, stress-strain relations for anisotropic, orthotropic and isotropic materials.
Unit 4
Bending of curved beams (Winkler-Bach formula), unsymmetrical bending of beams, shear centre.
Unit 5
Stresses in thick cylinders, shrink fit stresses, stresses in rotating discs.

Suggested Readings:
1. Advance Mechanics of Solids, Srinath L.S., Tata McGraw Hill.
2. Theory of Elasticity, Timoshenko and Goodier, McGraw Hill.
3. Solid Mechanics, Kazimi S.M.A., Tata McGraw Hill.
4. Introduction to Solid Mechanics, Shames and Pitarresi, Prentice Hall India.
5. Mechanics of Solid, Singh A.K., Prentice Hall India.