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

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Authors
Pyle, Devin
Issue Date
2014-05
Type
Electronic thesis
Thesis
Language
ENG
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Mechanical engineering
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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.
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May 2014
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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