A boundary element method for thermo-elastic homogenization of polycrystals

Dario Campagna, Vincenzo Gulizzi, Alberto Milazzo, Ivano Benedetti

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Abstract. A computational framework for thermo-elastic homogenization of polycrystalline materials is proposed. The formulation is developed at the crystal level and it is based on the explicit Voronoi representation of the micro-morphology. The crystal thermo-elastic equations are formulated in an integral form and numerically treated through the boundary element method. The presence of volume integrals, induced by the inherent physics of the thermo-elastic coupling, is addressed through a Dual Reciprocity Method (DRM), which allows recasting the formulation in terms of boundary integrals only. The developed methodology is applied for estimating the homogenized thermo-elastic constants of two widely employed ceramic materials. The method may find applications in multiscale analysis of polycrystalline structural component.

Keywords
Polycrystalline Materials, Steady-State Thermo-Elasticity, Computational Homogenization, Computational Micro-Mechanics, Multiscale Materials Modelling, Boundary Element Method

Published online 11/1/2023, 4 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Dario Campagna, Vincenzo Gulizzi, Alberto Milazzo, Ivano Benedetti, A boundary element method for thermo-elastic homogenization of polycrystals, Materials Research Proceedings, Vol. 37, pp 341-344, 2023

DOI: https://doi.org/10.21741/9781644902813-75

The article was published as article 75 of the book Aeronautics and Astronautics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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