Continuum Mechanics I

3 credits · Undergraduate Programs

Review of linear algebra and introduction to vector calculus. Physical space, bodies, configurations and displacement fields. Velocity and the substantial derivative, acceleration. Deformation and strain, deformation and strain rates. Master balance equation, balance of mass, linear momentum and angular momentum, and control volume analysis. Introduction of stress as the flux of linear momentum, stress transformations, and Mohr's circle. Equations of equivalence in the Saint Venant beam. Constitutive equations: isotropic linear elastic solid, perfect fluid, viscous fluid, Navier-Cauchy equation for isotropic linear elastic solids, Navier-Stokes equation for viscous fluids. Prerequisite(s): Engineering 202 and Mathematics 277. Antirequisite(s): Credit for Biomedical Engineering 381 and Physics Engineering 381 will not be allowed.