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akron1239646272.pdf (1.29 MB)
ETD Abstract Container
Abstract Header
Bifurcation and Boundary Layer Analysis for Graphene Sheets
Author Info
Ryan, Shawn David
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1239646272
Abstract Details
Year and Degree
2009, Master of Science, University of Akron, Applied Mathematics.
Abstract
Graphene is being studied for its use in many potential future applications such as a component of computer chips or for its transport properties. Deformation of a graphene sheet under an applied load is investigated using both analytical and numerical means. The stability of a vertical graphene sheet when pressed against a solid substrate is studied and the load at which the sheet may become unstable is found. Then further analysis is done when we let the length of the graphene sheet go to infinity. In this case the substrate only affects the bottom position of the infinitely long sheet and thus a boundary layer problem is analyzed. This work can be used as a foundation for further understanding of the mechanical behavior of graphene.
Committee
Dmitry Golovaty, PhD (Advisor)
J. Patrick Wilber, PhD (Advisor)
Laura Gross, PhD (Committee Member)
Subject Headings
Materials Science
;
Mathematics
;
Physics
Keywords
Graphene
;
Boundary Layer
;
Bifurcation
;
Asymptotics
;
Mechanical Properties
;
Van der Waals force
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Citations
Ryan, S. D. (2009).
Bifurcation and Boundary Layer Analysis for Graphene Sheets
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1239646272
APA Style (7th edition)
Ryan, Shawn.
Bifurcation and Boundary Layer Analysis for Graphene Sheets.
2009. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1239646272.
MLA Style (8th edition)
Ryan, Shawn. "Bifurcation and Boundary Layer Analysis for Graphene Sheets." Master's thesis, University of Akron, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=akron1239646272
Chicago Manual of Style (17th edition)
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Document number:
akron1239646272
Download Count:
533
Copyright Info
© 2009, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.