Continuum Mechanics

Catalog description

This course covers the fundamentals of continuum mechanics at an introductory graduate level. Topics covered include: 1) Introduction: essential mathematics - scalars, vectors, tensors, and indicial notation; 2) Basics: three-dimensional states of stress, finite and infinitesimal measures strain, and principal axes; 3) Conservations laws: mass, linear momentum, angular momentum and energy; 4) Constitutive equations: ideal materials, Newtonian fluids, isotropy and anisotropy, elasticity and thermoelasticity, plasticity, and viscoelasticity; 5) Applications to classical problems and emerging topics in solid and fluid mechanics. Recommended background: undergraduate knowledge of strength of materials, fluid mechanics, and linear algebra.