Mathematical models for the self-propulsion of articulated bodies in fluids at low Reynolds number can be interpreted geometrically in terms of connections in principal b[...]

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This dissertation presents a new computational system that seeks to estimate the inverse mechanics of a bone fracture from 3D CT images. One image provides a model of an [...]

To stay competitive within the gas turbine community, turbine aero designers strive to maximize the total work output of each turbine stage through a combination of airfo[...]

Thick-walled cylindrical steam headers are subject to varying amounts of circumferential stresses in their normal operating cycles... Analyzing the variations in the amou[...]

Rock weathering, or the mechanical and chemical breakdown of rock over time, creates the landscape on which all terrestrial life is built. Weathering produces sediment, a[...]

This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitra[...]

Part I: An equilibrium statistical mechanics framework for investigating microfracture in rocks is proposed and tested. The framework consists of three elements: A) A sim[...]

The current landscape of quantum computing devices consists of Noisy Intermediate-Scale Quantum (NISQ) devices, which contain around 100 or less qubits and are not fault-[...]

This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduc[...]