Subject Code: MA5L012 Subject Name:  Continuum Mechanics L-T-P: 3-0-0 Credit: 3
Pre-requisite(s): Nil
Bodies, Deformation, Strain, Characterization of rigid deformations, Small Deformations, Characterization of infinitesimal rigid displacements, Motions, Smoothness Lemma, Types of motions, Rate of Stretching, Characterization of rigid motions, Transport Theorems, Volume, Isochoric motions, Spin, Circulation, Vorticity; Conservation of mass, linear and angular momentum, Centre of mass;  Force, Theorem of Virtual Work, Stress, Cauchy's Theorem for
 Existence of stress, Balance of momentum Theorem of Power Expended; Constitutive Equations Ideal fluids, Properties of ideal fluid motion, Steady, plane, irrotational flow of an Ideal fluid, Blasius-Kutta-Joukowski Theorem, Elastic fluids; Change in Observer and  Invariance of material response under change in observer, Newtonian fluids, Finite elasticity, Derivation of the linear theory of elasticity.
Text Books:
  1. Gurtin M. E.   An Introduction to Continuum Mechanics, Academic Press
  2. Spencer J. M.  Continuum Mechanics, Longman
Reference Books:
  1. Fung  Y. C.  A First Course in Continuum Mechanics, Prentice Hall
  2. Malvern  L. E.  Introduction to the Mechanics of a Continuous Medium,Prentice-Hall,   Upper Saddle River, NJ
  3. Chadwick  P.  Continuum Mechanics: Concise Theory and Problems, Halsted
  4. Boresi  P. and Chong K. P. Elasticity in Engineering Mechanics, Wiley
  5. Ogden R. W. Non-Linear Elastic Deformations, Dover