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Metals 2017, 7(9), 345; doi:10.3390/met7090345

A Hybrid Multi-Scale Model of Crystal Plasticity for Handling Stress Concentrations

1
Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109, USA
2
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA
*
Author to whom correspondence should be addressed.
Received: 17 August 2017 / Revised: 29 August 2017 / Accepted: 30 August 2017 / Published: 4 September 2017
(This article belongs to the Special Issue Microstructure based Modeling of Metallic Materials)
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Abstract

Microstructural effects become important at regions of stress concentrators such as notches, cracks and contact surfaces. A multiscale model is presented that efficiently captures microstructural details at such critical regions. The approach is based on a multiresolution mesh that includes an explicit microstructure representation at critical regions where stresses are localized. At regions farther away from the stress concentration, a reduced order model that statistically captures the effect of the microstructure is employed. The statistical model is based on a finite element representation of the orientation distribution function (ODF). As an illustrative example, we have applied the multiscaling method to compute the stress intensity factor K I around the crack tip in a wedge-opening load specimen. The approach is verified with an analytical solution within linear elasticity approximation and is then extended to allow modeling of microstructural effects on crack tip plasticity. View Full-Text
Keywords: plastic deformation; texture; finite element analysis; simulation; theory plastic deformation; texture; finite element analysis; simulation; theory
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Sun, S.; Ramazani, A.; Sundararaghavan, V. A Hybrid Multi-Scale Model of Crystal Plasticity for Handling Stress Concentrations. Metals 2017, 7, 345.

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