A continuation of MAE 4790. Completion of the design topics. Includes the option to advance the design to the critical design stage and build prototypes. Final report and oral presentations. …
Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed …
Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed …
Concepts of stress, strain, equilibrium, compatibility; Hooke's law (isotropic materials); displacement and stress formulations of elasticity problems; plane stress and strain problems in rectangular coordinates (Airy's stress function approach); plane …
The course covers state-of-the-art mechanical models to describe the constitutive behavior of hard and soft tissues with emphasis on biological form following physiological function. The course will cover linear and …
Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. Prerequisite: Graduate standing.
Fundamentals of conduction and convection heat and mass transfer. Derivation and application of conservation equations for heat and mass transfer in laminar and turbulent flows. Steady, unsteady and multidimensional transport. …
This course will begin with a study of the fundamental microscopic energy carriers (definitions, properties, energy levels and disruptions of photons, phonons, and electrons.) Transport of energy will then be …
Derivation of Boltzmann equation; Molecular derivation of Navier-Stokes equations; dynamics of molecular collisions; Chapman-Enskog solution of Boltzmann equation; transport properties of gases; analyses of shock structure, flows with chemical reactions, …
Classical analytical dynamics from a modern mathematical viewpoint: Newton's laws, dynamical variables, many particle systems; the Lagrangian formulation, constraints and configuration manifolds, tangent bundles, differential manifolds; variational principles, least action; …