Continuum Mechanics I

3 credits · Undergraduate Programs

Review of linear algebra and introduction to vector calculus. Physical space, bodies, configurations and motions. Velocity and the substantial derivative, acceleration. Deformation, strain and their rates. Displacement fields and linearised kinematics. Master balance equation, control volume analysis, balance of mass, balance of linear momentum, balance of angular momentum, balance of mechanical power. Constitutive equations: constitutive principles, Stokesian fluids, Newtonian fluids, non-linear elastic solids. Navier-Stokes equation for Newtonian fluids, Navier-Cauchy equation for isotropic linear elastic solids. Stress transformations, Mohr's circles, failure criteria in solids, thin-walled vessels. Prerequisite(s): Engineering 202 and Mathematics 211; and Mathematics 277, or Mathematics 267 and 177. Antirequisite(s): Credit for Physics Engineering 381 and Biomedical Engineering 381 will not be allowed.