Atomistic-to-Continuum Coupling via a Spacetime Discontinuous Galerkin Method
Miller, Scott T.
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https://hdl.handle.net/2142/87754
Description
Title
Atomistic-to-Continuum Coupling via a Spacetime Discontinuous Galerkin Method
Author(s)
Miller, Scott T.
Issue Date
2009
Doctoral Committee Chair(s)
Haber, Robert
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
Atomistic-to-continuum coupling at finite temperature will require a thermomechanical continuum model. The length and time scales under consideration at an AtC coupling interface require a hyperbolic heat conduction model for the continuum. An SDG model for hyperbolic conduction based on the Maxwell-Cattaneo-Vernotte (MCV) model is developed as a first step towards a full thermomechanical model. The MCV model generates a finite signal speed, enabling the use of a causal solution process. Numerical results demonstrate the differences between the MCV and Fourier models of heat conduction.
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