MA5220 Continuum Mechanics
Algebra of Cartesian Tensors, Index notation, Isotropic tensors, Invariants of a tensor, Polar decomposition theorem.
Course contents: Continuum Hypothesis, Kinematics of deformation, Compatibility conditions, Balance principles, Euler's laws of motion, Stress-Laws of Thermodynamics, Energy Balance, Constitutive equations of fluids and elastic materials, principles of material objectivity, Applications (simple problems of fluid dynamics and elasticity)
D.S. Chandrasekhraiah and Loknath Debnath, Contiuum Mechanics, Academic Press (1995)