A Space -Time Finite-Element Method for the Signorini Problem and for Viscoplasticity With Small Elastic Dilatations
Pattillo, Phillip David, II
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https://hdl.handle.net/2142/87725
Description
Title
A Space -Time Finite-Element Method for the Signorini Problem and for Viscoplasticity With Small Elastic Dilatations
Author(s)
Pattillo, Phillip David, II
Issue Date
2004
Doctoral Committee Chair(s)
Tortorelli, Daniel A.
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Mechanical
Language
eng
Abstract
We develop a space-time, finite-element analysis to simulate the indentation process accurately. The space-time nature of the code allows high degrees of time refinement in the region of interest immediately beneath the indenter, thus improving the computational efficiency of the simulation. The code also tracks the contact interface exactly via a node movement algorithm. We also develop a space-time, finite-element code to examine a viscoplastic material with small elastic dilatations. The flow rule and dislocation evolution equations are based upon the BCJ model of plasticity.
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