Multiscale analysis in solids with unseparated scales: fine-scale recovery, error estimation, and coarse-scale adaptivity Article Swipe
Joseph E. Bishop
,
J.A. Brown
,
Theron Rodgers
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1504/ijtamm.2021.120799
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1504/ijtamm.2021.120799
There are several engineering applications in which the assumptions of homogenization and scale separation may be violated, in particular, for metallic structures constructed through additive manufacturing. Instead of resorting to direct numerical simulation of the macroscale system with an embedded fine scale, an alternative approach is to use an approximate macroscale constitutive model, but then estimate the model-form error using a posteriori error estimation techniques and subsequently adapt the macroscale model to reduce the error for a given boundary value problem and quantity of interest. Here, we investigate this approach to multiscale analysis in solids with unseparated scales using the example of an additively manufactured metallic structure consisting of a polycrystalline microstructure that is neither periodic nor statistically homogeneous. As a first step to the general nonlinear case, we focus here on linear elasticity in which each grain within the polycrystal is linear elastic but anisotropic.
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Multiscale analysis in solids with unseparated scales: fine-scale recovery, error estimation, and coarse-scale adaptivityWork title
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enPrimary language
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2021Year of publication
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2021-01-01Full publication date if available
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Joseph E. Bishop, J.A. Brown, Theron RodgersList of authors in order
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https://doi.org/10.1504/ijtamm.2021.120799Publisher landing page
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YesWhether a free full text is available
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https://www.osti.gov/biblio/1831159Direct OA link when available
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