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

Journal Article · · Metals
DOI:https://doi.org/10.3390/met7090345· OSTI ID:1423802
 [1]; ORCiD logo [1];  [2]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Naval Architecture and Marine Engineering
  2. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Aerospace Engineering

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 KI 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.

Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0008637
OSTI ID:
1423802
Journal Information:
Metals, Vol. 7, Issue 9; ISSN 2075-4701
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (13)

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A computational procedure for rate-independent crystal plasticity journal April 1996
A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing journal September 2008
The simulation of texture evolution with finite elements over orientation space II. Application to planar crystals journal April 1996
The simulation of texture evolution with finite elements over orientation space I. Development journal April 1996
Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture journal October 1977
On the finite element method in linear fracture mechanics journal July 1970
Experimental and computational studies of low cycle fatigue crack nucleation in a polycrystal journal February 2007
Quasicontinuum simulation of fracture at the atomic scale journal September 1998
Prediction of deformation texture using a physical principle of conservatiol journal September 1982
A probabilistic crystal plasticity model for modeling grain shape effects based on slip geometry journal August 2012

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