Intended for students with the equivalent of four semesters of undergraduate mathematics typical of engineering programs. An investigation into the stability of fluid motions. Energy stability theory. Linear stability theory. Nonlinear stability theory.
Parallel shear flows, both inviscid and viscous.
The instability of stratified flows. An advanced examination of fracture mechanisms in ductile and brittle materials. Both the mechanics and the materials aspects are covered with importance placed on the synthesis of the two approaches. Topics include linear elastic fracture mechanics, ductile fracture, the J-integral, atomistic aspects of fracture in polycrystalline materials, fracture in ceramics and polymers, influence of the material microstructure on fracture toughness and ductility in FCC and BCC materials. Stress Waves in Solids Elastic waves in unbounded media.