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Title:Atomistic-to-Continuum Coupling via a Spacetime Discontinuous Galerkin Method
Author(s):Miller, Scott T.
Doctoral Committee Chair(s):Haber, Robert
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Mechanical
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.
Issue Date:2009
Description:158 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
Other Identifier(s):(MiAaPQ)AAI3363038
Date Available in IDEALS:2015-09-28
Date Deposited:2009

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