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Deformation of a Graphene Sheet Driven by Lattice Mismatch with a Supporting Substrate

Stanek, Lucas James
http://rave.ohiolink.edu/etdc/view?acc_num=akron1493999094753307

Abstract Details

, Master of Science, University of Akron, Applied Mathematics.
The material known as graphene has been shown to exhibit highly desirable properties with respect to strength and conductivity of both heat and electricity. In this thesis, I will study the structure of a suspended sheet of graphene above a rigid substrate. A sheet of graphene will be represented as a chain of bonded atoms in 2D that is supported above a fixed line of atoms representing a substrate. My energy-based model includes bond stretching energy, van der Waals energy, as well as bending energy dependent on the angle between adjacent atomic bonds. The system is assumed to evolve via gradient-flow dynamics so that the atoms move to achieve a minimum energy configuration. Simulations show isolated wrinkles when the mismatch between the equilibrium distance of the atoms on the chain and the spacing of the atoms on the substrate is small. This wrinkling can be attributed to van der Waals interactions between atoms on the chain and atoms on the substrate.
Dmitry Golovaty, Dr. (Advisor)
J. Patrick Wilber, Dr. (Advisor)
Malena Espanol, Dr. (Advisor)
Materials Science; Mathematics; Molecular Physics
mathematical model; graphene; moire patterns; graphene sheet; wrinkling of graphene; corrugation of graphene sheet; supporting substrate; gradient flow dynamics; minimize energy; atomistic model; discrete model; van der waals

Recommended Citations

Citations

  • Stanek, L. J. (2017). Deformation of a Graphene Sheet Driven by Lattice Mismatch with a Supporting Substrate [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1493999094753307

    APA Style (7th edition)

  • Stanek, Lucas. Deformation of a Graphene Sheet Driven by Lattice Mismatch with a Supporting Substrate. 2017. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1493999094753307.

    MLA Style (8th edition)

  • Stanek, Lucas. "Deformation of a Graphene Sheet Driven by Lattice Mismatch with a Supporting Substrate." Master's thesis, University of Akron, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=akron1493999094753307

    Chicago Manual of Style (17th edition)

akron1493999094753307
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© 2017, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.