Simulations of a stretching bar using a plasticity model from the shear transformation zone theory

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An Eulerian simulation is developed to study an elastoplastic model of amorphous materials that is based upon the shear transformation zone theory developed by Langer and coworkers. In this theory, plastic deformation is controlled by an effective temperature that measures the amount of configurational disorder in the material. The simulation is used to model ductile fracture in a stretching bar that initially contains a small notch, and the effects of many of the model parameters are examined. The simulation tracks the shape of the bar using the level set method. Within the bar, a finite difference discretization is employed that ... continued below

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Rycroft, Chris H. & Gibou, Frederic June 5, 2010.

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An Eulerian simulation is developed to study an elastoplastic model of amorphous materials that is based upon the shear transformation zone theory developed by Langer and coworkers. In this theory, plastic deformation is controlled by an effective temperature that measures the amount of configurational disorder in the material. The simulation is used to model ductile fracture in a stretching bar that initially contains a small notch, and the effects of many of the model parameters are examined. The simulation tracks the shape of the bar using the level set method. Within the bar, a finite difference discretization is employed that makes use of the essentially non-oscillatory (ENO) scheme. The system of equations is moderately stiff due to the presence of large elastic constants, and one of the key numerical challenges is to accurately track the level set and construct extrapolated field values for use in boundary conditions. A new approach to field extrapolation is discussed that is second order accurate and requires a constant amount of work per gridpoint.

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  • Journal Name: Journal of Computational Physics

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  • Report No.: LBNL-3512E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 983490
  • Archival Resource Key: ark:/67531/metadc1013748

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  • June 5, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Oct. 18, 2017, 10:11 a.m.

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Rycroft, Chris H. & Gibou, Frederic. Simulations of a stretching bar using a plasticity model from the shear transformation zone theory, article, June 5, 2010; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc1013748/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.