The role of dilute small particles on the development of strain localization under uniaxial tension has been studied by finite element analysis using a plane stress model with two small hard particles embedded in Al matrix. The influence of particle alignment and interparticle spacing in a homogeneous and inhomogeneous matrix are investigated. When the matrix material is a homogeneous continuum, there are small localization strains when close packed and aligned along the loading direction. In the case of an inhomogeneous matrix with grains of different strengths represented by their Taylor factors, the location of localization band is insensitive to the interparticle spacing, but mainly determined by grain-level inhomogeneity. This is because the particles are dilute and small compared with the matrix grains. The particles, however, can decrease the localization strains when they straddle the localization band.
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April 2008
Research Papers
Modeling Strain Localization Using a Plane Stress Two-Particle Model and the Influence of Grain Level Matrix Inhomogeneity
Xiaohua Hu,
Xiaohua Hu
Department of Materials Science and Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
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David S. Wilkinson,
David S. Wilkinson
Department of Materials Science and Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
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Mukesh Jain,
Mukesh Jain
Department of Mechanical Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
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Raja K. Mishra
Raja K. Mishra
General Motors Research and Development Center
, Mail Code 480-106-212, 30500 Mound Road, Warren, MI 48090-9055
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Xiaohua Hu
Department of Materials Science and Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
David S. Wilkinson
Department of Materials Science and Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
Mukesh Jain
Department of Mechanical Engineering,
McMaster University
, Hamilton, ON, L8S 4L7, Canada
Raja K. Mishra
General Motors Research and Development Center
, Mail Code 480-106-212, 30500 Mound Road, Warren, MI 48090-9055J. Eng. Mater. Technol. Apr 2008, 130(2): 021002 (10 pages)
Published Online: March 12, 2008
Article history
Received:
July 13, 2007
Revised:
November 21, 2007
Published:
March 12, 2008
Citation
Hu, X., Wilkinson, D. S., Jain, M., and Mishra, R. K. (March 12, 2008). "Modeling Strain Localization Using a Plane Stress Two-Particle Model and the Influence of Grain Level Matrix Inhomogeneity." ASME. J. Eng. Mater. Technol. April 2008; 130(2): 021002. https://doi.org/10.1115/1.2840959
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