Physics Commons^™

A Torsion-Based Rheometer For Measuring Viscoelastic Material Properties, Merrill E. Asp, Elise Jutzeler, Jakub Kochanowski, Katherine Kerr, Dawei Song, Sarthak Gupta, Robert Carroll, Alison E. Patteson

Physics - All Scholarship

Rheology and the study of viscoelastic materials are an integral

part of engineering and the study of biophysical systems. Tissue rheology is even

used in the study of cancer and other diseases. However, the cost of a rheometer is

feasible only for colleges, universities, and research laboratories. Even if a rheometer

can be purchased, it is bulky and delicately calibrated, limiting its usefulness to the

laboratory itself. The design presented here is less than a tenth of the cost of a

professional rheometer. The design is also portable, making it the ideal solution to

introduce viscoelasticity to high school students …

The Kepler Problem On Complex And Pseudo-Riemannian Manifolds, Michael R. Astwood

Theses and Dissertations (Comprehensive)

The motion of objects in the sky has captured the attention of scientists and mathematicians since classical times. The problem of determining their motion has been dubbed the Kepler problem, and has since been generalized into an abstract problem of dynamical systems. In particular, the question of whether a classical system produces closed and bounded orbits is of importance even to modern mathematical physics, since these systems can often be analysed by hand. The aforementioned question was originally studied by Bertrand in the context of celestial mechanics, and is therefore referred to as the Bertrand problem. We investigate the qualitative …