Advanced Continuum Mechanics

3 credits · Graduate Programs

Review of linear algebra: vector spaces, linear maps, tensors; affine spaces: coordinate systems and differential calculus; kinematics of continua: deformation and strain tensors, deformation and strain rates; balance equations: mass, linear momentum, angular momentum, energy; entropy inequality; stress tensors; stress rates; stress power and conjugated stress-strain pairs; constitutive theory: constitutive axioms, hyperelastic solids, perfect and Newtonian fluids. Antirequisite(s): Credit for Mechanical Engineering 653 and 619.32 (Advanced Continuum Mechanics) will not be allowed.