Theory of Elasticity

In this course the concept of elasticity, an important property of solids will be discussed in a comprehensive way. Idealization of physical system, representing the idealized system through mathematical equation and finally finding solution of those equations are the key features that constitute the structure of this course. In this course emphasis will be given on both theory and applications.INTENDED AUDIENCE :Civil Engineering, Mechanical Engineering, Aerospace Engineering, Naval Architecture, Applied MechanicsPREREQUISITES :Engineering MechanicsINDUSTRY SUPPORT :Any Civil, Mechanical and Aerospace company

Week 1 : Mathematical Preliminaries Introduction to TensorWeek 2 : Concept of Stresses and StrainsWeek 3 : Material Behaviour– 1 General anisotropic material, strain energy density, constitutive relationWeek 4 : Material Behaviour– 2 Material symmetry, linear elastic material, Generalized Hook’s lawWeek 5 : Formulation of boundary value problems in elasticity Equilibrium, compatibility, formulation in Cartesian and Polar coordinatesWeek 6 : Solution of boundary value problems in elasticity– 1 Plane stress and plane strain problemsWeek 7 : Solution of boundary value problems in elasticity– 1 Problems in flexureWeek 8 : Solution of boundary value problems in elasticity– 1 Problems in TorsionWeek 9 : Introduction to Thermo-elasticityWeek 10 : Introduction to photo-elasticityWeek 11 : Introduction Nonlinear elasticityWeek 12 : Introduction to photo-elasticity