• About
    • Login
    View Item 
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDepartmentThis CollectionBy Issue DateAuthorsTitlesSubjectsDepartment

    My Account

    LoginRegister

    A Coupled Eulerian-Lagrangian Extended Finite Element Formulation for Moving Interface Problems and Damage Transport in Hyperelastic Media

    Aryal, Anup
    : https://etd.library.vanderbilt.edu/etd-07072014-132036
    http://hdl.handle.net/1803/12841
    : 2014-07-16

    Abstract

    A coupled Eulerian- Lagrangian (CEL) formulation is presented to model moving interface problems and damage transport in hyperelastic materials when subjected to large deformations. This formulation is based on Eulerian description of kinematics of deformable bodies along with an updated Lagrangian formulation for transporting deformation gradient tensor. Extended finite element method (XFEM) is used to discretize equilibrium and deformation gradient transport equation in two phase domain separated by a sharp interface. The interface describing the deformed shape of the body is represented by level set function and is evolved using grid based particle method. The performance of the scheme is explored in both one and two dimensions. The numerical results are in good agreement with the theory and with numerical results obtained from the traditional Lagrangian formulation in commercial software Abaqus. In this formulation, the material motion is separate to that of the mesh, so this method can handle large to extreme deformations without any issue of remeshing. Therefore, this method is well suited to handle large deformation problems with hyperelastic media.
    Show full item record

    Files in this item

    Icon
    Name:
    AAryal.pdf
    Size:
    1.867Mb
    Format:
    PDF
    View/Open

    This item appears in the following collection(s):

    • Electronic Theses and Dissertations

    Connect with Vanderbilt Libraries

    Your Vanderbilt

    • Alumni
    • Current Students
    • Faculty & Staff
    • International Students
    • Media
    • Parents & Family
    • Prospective Students
    • Researchers
    • Sports Fans
    • Visitors & Neighbors

    Support the Jean and Alexander Heard Libraries

    Support the Library...Give Now

    Gifts to the Libraries support the learning and research needs of the entire Vanderbilt community. Learn more about giving to the Libraries.

    Become a Friend of the Libraries

    Quick Links

    • Hours
    • About
    • Employment
    • Staff Directory
    • Accessibility Services
    • Contact
    • Vanderbilt Home
    • Privacy Policy