After completion of this course the student;
- is able to derive the stress and displacement formulations of elasticity theory for linear isotropic elastic materials, and explain the relation between the various elastic moduli;
- is able to apply various solution strategies (e.g. based on Navier equations, Airy stress function, superposition) to solve a broad class of static and wave phenomena in linear elasticity, more specifically to find stress and displacement distributions;
- is able to perfom variational analysis to resolve the deformation of beams and plates, and use energetic arguments to assess their mechanical stability;
- is able to read and understand research articles that involve interaction between fluids and deformable bodies, and place the work in the context of theoretical frameworks.
Many fluid flows exhibit interactions with deformable, elastic boundaries. Examples range from flexing of airplane wings to wetting of soft contact lenses by a tear film. The objective of this course is to provide an introduction to the basics principles of elasticity theory, viewed from a fluid mechanical perspective. We first derive the Navier equations and various solution strategies to classical problems in elasticity, such as Hertz contacts, cracks and surface waves. We then develop a variational formalism to discuss beam mechanics and buckling, and discuss several elastic instabilities. After these basics, we address a selected set of contemporary problems bordering fluid physics and elasticity.|
3 Assignments Pass/Fail