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The Heterogeneous Multiscale Method for Dynamics of Solids with Applications to Brittle Cracks

Published online by Cambridge University Press:  31 January 2011

Jerry Yang
Affiliation:
zjysma@rit.edu, Rochester Institute of Technology, School of Mathmematical Sciences, Rochester, New York, United States
Xiantao Li
Affiliation:
xli@math.psu.edu, Penn State University, State College, Pennsylvania, United States
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Abstract

We present a multiscale method for the modeling of dynamics of crystalline solids. The method employs the continuum elastodynamics model to introduce loading conditions and capture elastic waves, and near isolated defects, molecular dynamics (MD) model is used to resolve the local structure at the atomic scale. The coupling of the two models is achieved based on the framework of the heterogeneous multiscale method (HMM) and a consistent coupling condition with special treatment of the MD boundary condition. Application to the dynamics of a brittle crack under various loading conditions is presented. Elastic waves are observed to pass through the interface from atomistic region to the continuum region and reversely. Thresholds of strength and duration of shock waves to launch the crack opening are quantitatively studied and related to the inertia effect of crack tips.

Type
Research Article
Copyright
Copyright © Materials Research Society 2010

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