Continuum Mechanics II

At the end of this course, the students should be able to: 1. derive the integral as well as differential forms of the governing equations of continua that arise from natural balances; 2. apply these equations to fixed control volumes and moving masses that convect with systems; and 3. apply these equations to solid bodies, fluid bodies and combinations of these.

Referential and spatial descriptions of deformation and motion. Polar decomposition theorem. The deformation gradient and other measures of shape changes. Material and spatial time derivatives. Referential and spatial gradients. Leibniz-Reynold’s transport theorem. Theory of stress and heat flow. Cauchy’s lemma. Cauchy stress law, balance laws of mass, momentum and energy. The second law of thermodynamics. Introduction to constitutive modelling. Prerequisite: SSG 321