Rice Univesrity Logo
    • FAQ
    • Deposit your work
    • Login
    View Item 
    •   Rice Scholarship Home
    • Rice University Graduate Electronic Theses and Dissertations
    • Rice University Electronic Theses and Dissertations
    • View Item
    •   Rice Scholarship Home
    • Rice University Graduate Electronic Theses and Dissertations
    • Rice University Electronic Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Deformations and motions in compressible non-linear elasticity

    Thumbnail
    Name:
    3421337.PDF
    Size:
    1.353Mb
    Format:
    PDF
    View/Open
    Author
    Erdemir Ungor, Esen
    Date
    2010
    Advisor
    Carroll, Michael M.
    Degree
    Doctor of Philosophy
    Abstract
    The primary purpose of this study is to identify solutions for deformations and motions in compressible non-linear elasticity. The research study mainly focuses on the mathematical theory of deformations and motions of non-linearly elastic compressible hollow spheres and hollow cylinders reinforced with inextensible fibers in the radial direction. Static and dynamic solutions for both unstressed and everted cases are presented for the hollow spheres and hollow cylinders of isotropic elastic materials that are radially inextensible. Different strain energy density functions are then applied for further demonstration to the extent allowed by the analytical approach. This thesis is concerned with the mathematical theory of non-linear elasticity and no discussion of shell or membrane theories, or of numerical methods is included. The setting is purely isothermal and no reference is made to thermodynamics. Attention is confined to twice-continuously differentiable deformations; discontinuities are not considered.
    Keyword
    Mechanical engineering
    Citation
    Erdemir Ungor, Esen. "Deformations and motions in compressible non-linear elasticity." (2010) Diss., Rice University. https://hdl.handle.net/1911/61996.
    Metadata
    Show full item record
    Collections
    • Rice University Electronic Theses and Dissertations [12052]

    Home | FAQ | Contact Us
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
     

     

    Searching scope

    Browse

    Entire ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsType

    My Account

    Login

    Statistics

    View Usage Statistics

    Home | FAQ | Contact Us
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892