[[The]] effect of finite element model and formulation on simulations in large deformation polycrystal plasticity

Authors
Pyle, Devin
ORCID
Loading...
Thumbnail Image
Other Contributors
Maniatty, Antoinette M.
Picu, Catalin R.
Oberai, Assad
Lewis, Daniel J.
Issue Date
2014-05
Keywords
Mechanical engineering
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
Abstract
Second, a stabilized mixed finite element method is presented for crystal plasticity at large strains. This is compared to a standard mixed finite element formulation. The stabilized implementation takes advantage of a mesh dependent stabilization term to bypass the requirements of the Ladyzenskaya-Babuska-Brezzi condition. This allows for the use of P1/P1 elements (linear interpolation for displacement and pressure). In contrast, the standard mixed finite element formulation is restricted to P2/P1 elements (quadratic interpolation for displacement and linear interpolation in pressure). Results using stabilized P1/P1 elements are compared with standard P1/P1 elements as well as standard P2/P1 elements as a control case, for a polycrystal. The pressure field is shown to fluctuate through out the polycrystal when considering the standard model using P1/P1 elements vs. the control case. The pressure field for the stabilized P1/P1 elements accurately matches the general control case.
Description
May 2014
School of Engineering
Department
Dept. of Mechanical, Aerospace, and Nuclear Engineering
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
Access
Restricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.