In this dissertation we propose, analyze and computationally implement finite element models to two different two-dimensional saddle point systems of partial differential equations with boundary …
In this thesis, we investigate two applications of finite element methods that employ macro-elements: discrete elasticity sequences and convergence of Lagrange elements for a Maxwell …
The mammalian tongue consists of a complex array of intersecting muscular components with the capacity to create an extraordinary array of functional geometries and deformations …
Inertial microcavitation rheometry (IMR) is an effective method for mechanical characterization of soft materials at high strain rates. In IMR, the dynamics of an isolated …
Abstract of "Deformation Mechanisms in Magnesium Alloys at Elevated Temperature" by David E. Cipoletti, Ph.D., Brown University, May 2011The goals of this dissertation were to …
A computational complement to experimental data is developed to determine the traction separation law (TSL) of a bimaterial interface under impact loading. Experimental data of …
The problem of forming exact sequences of finite element spaces that discretize Hilbert complexes is central to the finite element exterior calculus. This framework offers …
Over a decade, it is known that nanopore sequencing of DNA or RNA requires substantial reduction of entropic noise in the nanopore reading process. Recently, …
This dissertation aims to study finite element methods for two-dimensional stationary second order interface model problems on homogeneous and heterogeneous media, under discretizations non-fitted with …
Finite element methods (FEMs) are used to discretize partial differential equations in a wide array of applications, including fluid flow, solid mechanics, electromagnetism, optimal control, …
In this thesis I investigate two separate issues. The first was a class of surface instabilities in compressible soft materials. The second issue was the …
Shell structures, geometrically characterized as thin and curved plates, are historically notable for their efficiency to carry transverse loads while using the minimum possible amount …
The automobile industry drives a great deal of research towards understanding the mechanical behavior of high-strength steels. Two important behaviors exhibited by these materials are …
The finite element method (FEM) is an extremely successful approach to numerically approximating solutions to partial differential equations arising from many real-world scenarios. While the …
Vapor intrusion (VI) investigations, the effort to determine the exposure and associated human health-risk at a VI impacted building, are often complicated by significant spatial …
