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Items (1-19) out of 19 results

Analysis and Implementation of Some Stabilized Finite Element Methods Applied to Fluid Mechanics

Description:
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 …
Year:
2022
Contributor:
Cáceres-Valenzuela, Ernesto David (creator)
Guzmán, Johnny (Advisor)
Shu, Chi-Wang (Reader)
Barrenechea, Gabriel (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Finite element method
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Applications of FEM with Macro-Elements: Discrete Elasticity Sequences and Convergence of Lagrange Elements for a Maxwell Eigenvalue Problem

Description:
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 …
Year:
2023
Contributor:
Gong, Sining (creator)
Guzmán, Johnny (Advisor)
Shu, Chi-Wang (Reader)
Neilan, Michael (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Finite element method
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Architectural Basis for Lingual Soft Tissue Mechanics

Description:
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 …
Year:
2022
Contributor:
Leichter, Dana M (creator)
Gilbert, Richard (Advisor)
Srivastava, Vikas (Reader)
Mathiowitz, Edith (Reader)
Nicosia, Mark (Reader)
Brown University. Biology and Medicine: Biomedical Engineering (sponsor)
Genre:
theses
Subject:
bioimaging
Finite element method
Computational modeling
Diffusion MRI
Lingual Biomechanics
Collection:
Biology and Medicine
Biomedical Engineering
Theses and Dissertations
Full Record

Aspects of High-Strain-Rate Microcavitation in Soft Solids

Description:
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 …
Year:
2022
Contributor:
Tzoumaka, Anastasia (creator)
Henann, David (Advisor)
Guduru, Pradeep (Reader)
Rodriguez, Mauro (Reader)
Brown University. Engineering: Mechanics of Solids (sponsor)
Genre:
theses
Subject:
Finite element method
post-buckling analysis
Viscoelastic materials
biological tissues
anisotropic materials
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

Assessing the Feasibility of 3D-Printed PEKK Endoprostheses for Bone Reconstruction in Bone Tumors of the Proximal Femur

Description:
Osteosarcoma is the most common form of bone cancer found in children, adolescents, and young adults. Other bone cancers include chondrosarcoma and Ewing sarcoma. Previously, …
Year:
2021
Contributor:
Payne, Taylor (Author)
Terek, Richard (Author)
Crisco, J.J. Trey (Author)
Brown University. Alpert Medical School. Scholarly Concentration Program. Non-Scholarly Concentrator (research program)
Subject:
Orthopedic surgery
Orthopedics
Finite element method
Bones--Tumors
Three-dimensional printing
Bones--Cancer
Osteosarcoma
Bioengineering
Artificial hip joints
Ewing's sarcoma
Language:
English
Collection:
Warren Alpert Medical School Academic Symposium
Full Record

Deformation Mechanisms in Magnesium Alloys at Elevated Temperature

Description:
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 …
Year:
2011
Contributor:
Cipoletti, David E (creator)
Bower, Allan (Director)
Curtin, William (Reader)
Kumar, K. (Reader)
Brown University. ENGINEERING: Solid Mechanics (sponsor)
Genre:
theses
Subject:
crystal plasticity
grain boundary sliding
Magnesium
Superplasticity
Finite element method
Language:
English
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

Determining the Cohesive Behavior of Bimaterial Interfaces Under Impact Loading: A Hybrid Computational-Experimental Method

Description:
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 …
Year:
2019
Contributor:
Brown, Reed (creator)
Kim, Kyung-Suk (thesis advisor)
Bower, Allan (reader)
Brown University. School of Engineering (sponsor)
Genre:
theses
Subject:
Shock (Mechanics)
Finite element method
Laser interferometry
Cohesion
Fracture mechanics
Interfaces (Physical sciences)
Impact
Language:
English
Collection:
Engineering
Theses and Dissertations
Available to Brown-affiliated users only
Full Record

Exact Smooth Piecewise Polynomial Sequences on Powell-Sabin and Worsey-Farin Splits

Description:
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 …
Year:
2020
Contributor:
Lischke, Anna (creator)
Guzman, Johnny (Advisor)
Neilan, Michael (Reader)
Shu, Chi-Wang (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Scientific Computation
Numerical analysis
Finite element method
Algebra, Homological
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Finite element analysis and scale-bridging calculations of graphene crinkle

Description:
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, …
Year:
2021
Contributor:
Wang, Xincheng (creator)
Kim, Kyung-Suk (Advisor)
Brown University. Engineering: Mechanics of Solids (sponsor)
Genre:
theses
Subject:
Multiscale modeling
Finite element method
Graphene crinkle
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

Finite Element Methods for Interface Problems Using Unfitted Meshes: Design and Analysis

Description:
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 …
Year:
2016
Contributor:
Sanchez, Manuel A (creator)
Guzman, Johnny (Director)
Ainsworth, Mark (Reader)
Sarkis, Marcus (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
interface problems
Finite element method
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

High Order 2D Finite Element Methods with Extra Smoothness

Description:
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, …
Year:
2022
Contributor:
Parker, Charles William (creator)
Ainsworth, Mark (Advisor)
Süli, Endre (Reader)
Karniadakis, George (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Numerical analysis
preconditioners
Finite element method
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Investigations of Surface Instabilities in Soft Materials and Phase Transformations in Additive Manufacturing

Description:
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 …
Year:
2019
Contributor:
Zhang, Qi (creator)
Blume, Janet (Advisor)
Kim, Kyung-Suk (Reader)
Oancea, Victor (Reader)
Brown University. Engineering: Mechanics of Solids (sponsor)
Genre:
theses
Subject:
surface instability
wrinkle
crease
Finite element method
bifurcation
Koiter's method
Compressible neo-Hookean bilayer
Blatz-Ko material
Additive Manufacturing
AM Process Simulation
Powder Bed Fabrication
Microstructure
Selective Laser Melting
metallurgical phase transformation
post-buckling analysis
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

Isogeometric Multilayer Shells: Plasticity, Damage and Friction

Description:
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 …
Year:
2022
Contributor:
Alaydin, Mert Deniz (creator)
Bazilevs, Yuri (Advisor)
Guduru, Pradeep (Reader)
Oancea, Victor (Reader)
Bessa, Miguel (Reader)
Brown University. School of Engineering (sponsor)
Genre:
theses
Subject:
Composite materials
Finite element method
Isogeometric analysis
Shells (Engineering)--Analysis
Contact mechanics--Computer simulation
Failure analysis (Engineering)
Collection:
Engineering
Theses and Dissertations
Full Record

Measuring and Modeling the Behavior of High-Strength Steels

Description:
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 …
Year:
2016
Contributor:
Gerbig, Daniel Edward (creator)
Bower, Allan (Director)
Kim, Kyung-Suk (Reader)
Kumar, K. Sharvan (Reader)
Brown University. ENGINEERING: Mechanics of Solids (sponsor)
Genre:
theses
Subject:
finite element analysis
fracture
Finite element method
Digital image correlation
Plasticity
Steel--Fracture
Language:
English
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

Modeling of Ethylene-Vinyl Acetate (EVA) foam: Parametric studies of material properties and application to shoe midsoles

Description:
Ethylene-Vinyl Acetate (EVA) foam is a type of closed-cell elastomeric foam that consists of a polymeric elastomer matrix and air and is used in a …
Year:
2022
Contributor:
Roylo, Leinani Cathryn (creator)
Henann, David (Advisor)
Brown University. Engineering: Mechanics of Solids (sponsor)
Genre:
theses
Subject:
Finite element method
Constitutive Modeling
elastomeric foams
parametric studies
shoe midsoles
Collection:
Engineering
Mechanics of Solids
Theses and Dissertations
Full Record

MRI Segmentation of Patient-Specific Anatomy to Assess Treatment Efficacy of Tumor Treating Fields for Glioblastoma

Description:
Glioblastoma (GBM) is a Grade IV malignancy originating from glial progenitor cells and comprises about half of all primary malignant brain tumors. GBM has a …
Year:
2023
Contributor:
Harrison, Jono (Author)
Clark, Matthew (Author)
Lok, Edwin (Author)
Wong, Eric MD (Author)
Brown University. Alpert Medical School. Scholarly Concentration Program. Medical Technology, Innovation and Entrepreneurship (research program)
Subject:
Artificial intelligence--Medical applications
Neurology
Glioblastoma multiforme
Finite element method
Oncology
Language:
English
Collection:
Warren Alpert Medical School Academic Symposium
Full Record

Preconditioning the p-FEM Mass Matrix: Theory, Implementation, and Applications

Description:
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 …
Year:
2020
Contributor:
Jiang, Shuai (creator)
Ainsworth, Mark (Advisor)
Shu, Chi-Wang (Reader)
Sarkis, Marcus (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
preconditioners
Finite element method
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Recent Advances in Computational Fluid-Structure Interaction for Extreme Events

Description:
This dissertation presents several advances in computational methodologies developed for the modeling of Fluid-Structure Interaction (FSI), underwater explosions (UNDEX), and structural behavior under extreme loading …
Year:
2025
Contributor:
Shende, Shaunak (creator)
Bazilevs, Yuri (Advisor)
Rodriguez, Mauro (Reader)
Srivastava, Vikas (Reader)
Bessa, Miguel (Reader)
Brown University. School of Engineering (sponsor)
Genre:
theses
Subject:
Solid Mechanics
Fluid mechanics
Computational science and engineering
Finite element method
Isogeometric Analysis (IGA)
Collection:
Engineering
Theses and Dissertations
Full Record

Understanding the Dynamics of Vapor Intrusion Processes

Description:
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 …
Year:
2020
Contributor:
Ström, Jonathan Gustaf Viking (creator)
Suuberg, Eric (Advisor)
Goldsmith, Franklin (Reader)
Rubenstein, Brenda (Reader)
Brown University. School of Engineering (sponsor)
Genre:
theses
Subject:
Finite element method
Vapor intrusion
Environmental engineering
Radon intrusion
Contaminant transport
Numerical modeling
Volatile organic compounds
Chlorinated solvents
Collection:
Engineering
Theses and Dissertations
Full Record

Items (1-19) out of 19 results