Abstract

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.

Document Type

Final Report

Author's School

McKelvey School of Engineering

Author's Department

Mechanical Engineering and Materials Science

Class Name

Mechanical Engineering and Material Sciences Independent Study

Date of Submission

6-22-2020

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