Math 272 A: Continuum Mechanics

Math 272 A: Continuum Mechanics
MS 5148, MWF, 10-10:50 AM
Professor: Joseph Teran
Texts:

A first course in continuum mechanics, Gonzalez and Stuart.

Nonlinear continuum mechanics for finite element analysis, Bonet and Wood.

Office: MS 2619E
Office hours: MW, 11-12 AM

Overview

Derivation of governing equations for materials using classical physics and continuum conception of material.
Fluids: Navier Stokes equations, Stokes equations, compressible flow Euler equations, incompressible/inviscid Euler equations, non-Newtonian viscoelastic fluids.
Solids: Linearly elastic materials, nonlinear Elasticity (e.g. Neo Hookean, Mooney Rivlin), anisotropy.

Schedule

Week 1: Tensor algebra
Week 2: Tensor calculus
Week 3: Continuum mass and force concepts
Week 4: Kinematics
Week 5: Balance laws
Week 6: Newtonian fluids
Week 7: Non-Newtonian fluids
Week 8: Solid mechanics: linear
Week 9: Solid mechanics: nonlinear
Week 10: Solid/fluid interaction

Grading

There will be three equally weighted HW assignments.

Homework