The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks

Jerry Zhijian Yang, Xiantao Li

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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) [6] 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.

Original languageEnglish (US)
Title of host publicationMultiphysics Modeling in Materials Design
Pages25-30
Number of pages6
Volume1229
StatePublished - 2010
Event2009 MRS Fall Meeting - Boston, MA, United States
Duration: Nov 30 2009Dec 4 2009

Other

Other2009 MRS Fall Meeting
CountryUnited States
CityBoston, MA
Period11/30/0912/4/09

Fingerprint

Elastic waves
Molecular dynamics
cracks
Cracks
elastic waves
Crack tips
Shock waves
molecular dynamics
continuums
elastodynamics
Dynamic models
crack tips
Boundary conditions
Crystalline materials
dynamic models
inertia
Defects
shock waves
boundary conditions
thresholds

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Yang, J. Z., & Li, X. (2010). The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks. In Multiphysics Modeling in Materials Design (Vol. 1229, pp. 25-30)
Yang, Jerry Zhijian ; Li, Xiantao. / The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks. Multiphysics Modeling in Materials Design. Vol. 1229 2010. pp. 25-30
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Yang, JZ & Li, X 2010, The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks. in Multiphysics Modeling in Materials Design. vol. 1229, pp. 25-30, 2009 MRS Fall Meeting, Boston, MA, United States, 11/30/09.

The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks. / Yang, Jerry Zhijian; Li, Xiantao.

Multiphysics Modeling in Materials Design. Vol. 1229 2010. p. 25-30.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Yang JZ, Li X. The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks. In Multiphysics Modeling in Materials Design. Vol. 1229. 2010. p. 25-30