CE 202	SOLID MECHANICS	3-1-0-8
Syllabus: Force Transmission and Deformation, continuum, isotropy, homogeneity, conservation of linear momentum, angular momentum and mass, Cauchy axiom and definition of stress tensor, equation of equilibrium, principal stress and principal plane, strain at a point: displacement of a point and relative displacement of line segments, Green Lagrange strain tensor and small strain tensor, compatibility requirements, constitutive relations, Torsion: Circular, warping, thin-open sections, multiply connected sections. Bending of Beams: Stresses due to shear, shear center, shear deformation, Energy Formulation: Principle of minimum potential energy,virtual work method, Ritz and Ritz Galerkinmethods, equivalence between principle of virtual work and the minimum potential energy. Examples: torsion of circular shafts, bending, 2D problems, anti-plane shear. Failure criteria for materials: Buckling: Discrete systems, Continuous systems: Euler's formula, different end conditions and effective length, energy methods Texts: 1. Sanjay Govindjee, A First Course on Variational Methods in structural Mechanics and Engineering, 2015 2. James.M. Gere and Barry J. Goodno, Mechanics of materials, Cengage Learning, 2009 3. E. P. Popov, Engineering Mechanics of Solids, Dorling Kindersley (India) Pvt Ltd, 2nd edition, 2006 References: 1. L. S. Srinath, Advanced Solid Mechanics, Second Edition, Tata McGraw Hill, 2003 2. S. Govindjee, Engineering mechanics of deformable solids: a presentation with exercises, Oxford University Press, 2013 3. J. M. Gere and S. P. Timoshenko, Mechanics of Materials, CBS Publisher, 4th edition, 1996 4. Jacob Lubliner, Panayiotis Papadopoulos - Introduction to Solid Mechanics: An Integrated Approach, Springer, 2017 5. A. K. Singh, Mechanics of Solids, Prentice Hall of India Pvt. Ltd, 2007