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Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/3019
Title: A direct method for the determination of the mean orientation-dependent elastic
Authors: Bernier, Joel V.
Miller, Matthew P.
Keywords: orientation-dependent elastic strains
orientation-dependent stresses
polycrystalline materials
strain pole figures
Issue Date: 2006
Publisher: International Union of Crystallography
Citation: Journal of Applied Cyrstallography (2006). 39, 358-368
Abstract: A salient manifestation of anisotropy in the mechanical response of polycrystal- line materials is the inhomogeneous partitioning of elastic strains over the aggregate. For bulk samples, the distributions of these intergranular strains are expected to have a strong functional dependence on grain orientations. It is then useful to formulate a mean lattice strain distribution function (LSDF) over the orientation space, which serves to characterize the micromechanical state of the aggregate. Orientation-dependent intergranular stresses may be recovered from the LSDF via a constitutive assumption, such as anisotropic linear elasticity. While the LSDF may be determined directly from simulation data, its experimental determination relies on solving an inverse problem that is similar in character to the fundamental problem of texture analysis. In this paper, a versatile and robust direct method for determining an LSDF from strain pole figures is presented. The effectiveness of this method is demonstrated using synthetic strain pole figures from a model LSDF obtained from the simulated uniaxial deformation of a 1000-crystal aggregate.
URI: http://hdl.handle.net/1813/3019
ISSN: 1600-5767
0021-8898
Appears in Collections:Journal Articles

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