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Title: An application of multisurface plasticity theory: Yield surfaces of textured materials

Abstract

Directionally dependent descriptions of material yield as determined by polycrystal plasticity computations are discrete in nature and, in principle, are available for use in large-scale application calculations employing multi-dimensional continuum mechanics codes. However, the practical side of using such detailed yield surfaces in application calculations contains some challenges in terms of algorithm development and computational efficiency. Pole figures, commonly measured by X-ray diffraction, are used to portray the distribution can then be used to weight a set of discrete orientations to generate a representation of the measured texture. This discrete representation can be probed in the context of a Taylor-Bishop-Hill polycrystal calculation in order to assemble a set of deviatoric stress points that discretely map out the material`s yield surface. These stress points can be fitted or tessellated into a multi-dimensional piece-wise linear representation of the yield surface for subsequent use in a multisurface plasticity theory has been implemented in the three dimensional portion of the EPIC continuum mechanics code and is described in this effort.

Authors:
; ; ;  [1]
  1. Los Alamos National Lab., NM (United States)
Publication Date:
OSTI Identifier:
415399
Resource Type:
Journal Article
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 44; Journal Issue: 10; Other Information: PBD: Oct 1996
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; POLYCRYSTALS; PLASTICITY; COMPUTER CODES; ALGORITHMS; EFFICIENCY; X-RAY DIFFRACTION; NEUTRON DIFFRACTION; GRAIN ORIENTATION; STRESSES; STRAINS; YIELD STRENGTH; THREE-DIMENSIONAL CALCULATIONS; TEXTURE

Citation Formats

Maudlin, P J, Wright, S I, Kocks, U F, and Sahota, M S. An application of multisurface plasticity theory: Yield surfaces of textured materials. United States: N. p., 1996. Web. doi:10.1016/S1359-6454(96)00039-0.
Maudlin, P J, Wright, S I, Kocks, U F, & Sahota, M S. An application of multisurface plasticity theory: Yield surfaces of textured materials. United States. https://doi.org/10.1016/S1359-6454(96)00039-0
Maudlin, P J, Wright, S I, Kocks, U F, and Sahota, M S. 1996. "An application of multisurface plasticity theory: Yield surfaces of textured materials". United States. https://doi.org/10.1016/S1359-6454(96)00039-0.
@article{osti_415399,
title = {An application of multisurface plasticity theory: Yield surfaces of textured materials},
author = {Maudlin, P J and Wright, S I and Kocks, U F and Sahota, M S},
abstractNote = {Directionally dependent descriptions of material yield as determined by polycrystal plasticity computations are discrete in nature and, in principle, are available for use in large-scale application calculations employing multi-dimensional continuum mechanics codes. However, the practical side of using such detailed yield surfaces in application calculations contains some challenges in terms of algorithm development and computational efficiency. Pole figures, commonly measured by X-ray diffraction, are used to portray the distribution can then be used to weight a set of discrete orientations to generate a representation of the measured texture. This discrete representation can be probed in the context of a Taylor-Bishop-Hill polycrystal calculation in order to assemble a set of deviatoric stress points that discretely map out the material`s yield surface. These stress points can be fitted or tessellated into a multi-dimensional piece-wise linear representation of the yield surface for subsequent use in a multisurface plasticity theory has been implemented in the three dimensional portion of the EPIC continuum mechanics code and is described in this effort.},
doi = {10.1016/S1359-6454(96)00039-0},
url = {https://www.osti.gov/biblio/415399}, journal = {Acta Materialia},
number = 10,
volume = 44,
place = {United States},
year = {Tue Oct 01 00:00:00 EDT 1996},
month = {Tue Oct 01 00:00:00 EDT 1996}
}