Linking continuum mechanics and 3D discrete dislocation simulations

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A technique is developed for linking the methods of discrete dislocation dynamics simulation and finite element to treat elasto-plasticity problems. The overall formulation views the plastically deforming crystal as an elastic crystal with continuously changing dislocation microstructure which is tracked by the numerical dynamics simulation. The FEM code needed in this regard is based on linear elasticity only. This formulation presented here is focused on a continuous updating of the outer shape of the crystal, for possible regeneration of the FEM mesh, and adjustment of the surface geometry, in particular the surface normal. The method is expected to be potentially ... continued below

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El-Azab, A. A. & Fivel, M. October 18, 1998.

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Description

A technique is developed for linking the methods of discrete dislocation dynamics simulation and finite element to treat elasto-plasticity problems. The overall formulation views the plastically deforming crystal as an elastic crystal with continuously changing dislocation microstructure which is tracked by the numerical dynamics simulation. The FEM code needed in this regard is based on linear elasticity only. This formulation presented here is focused on a continuous updating of the outer shape of the crystal, for possible regeneration of the FEM mesh, and adjustment of the surface geometry, in particular the surface normal. The method is expected to be potentially applicable to the nano- indentation experiments, where the zone around the indenter-crystal contact undergoes significant permanent deformation, the rigorous determination of which is very important to the calculation of the indentation print area and in turn, the surface hardness. Furthermore, the technique is expected to account for the plastic history of the surface displacement under the indenter. Other potential applications are mentioned in the text.

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  • 3rd European Mechanics of Materials Conference on Mechanics and Multiphysics Processes in Solids, Oxford, UK, November 23-25, 1998

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  • Other: DE00002907
  • Report No.: UCRL-JC-132247
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 2907
  • Archival Resource Key: ark:/67531/metadc682685

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  • October 18, 1998

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  • July 25, 2015, 2:20 a.m.

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  • May 6, 2016, 11:27 p.m.

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El-Azab, A. A. & Fivel, M. Linking continuum mechanics and 3D discrete dislocation simulations, article, October 18, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc682685/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.