The focus of this independent study is an in-depth study of viscoelasticity and the mechanisms to obtaining a viscoelastic spectrum from stress data. The independent study begins with a study of simple models such as the Maxwell, Kelvin, and Zener models. It then proceeds to biphasic models associated with Biot theory, as expounded upon by Mow and co-workers. The paper culminates with a study of spectral methods and Tikhonov regularization for the spectral analysis of material behavior, including noise sensitivity and signal-noise information.
Mechanical Engineering and Material Sciences Independent Study
Date of Submission
Hoppe, Ethan, "Viscoelasticity and Spectral Analysis with Tikhonov Regularization" (2020). Mechanical Engineering and Materials Science Independent Study. 130.