Multiscale Methods for Composites: A Review

By P. Kanouté, D. Boso, J. Chaboche, Bernhard A. Schrefler. 2009

593 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a978c2cdcb0d3072f75e430ca54bd12de5b01fcc

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Homogenization and dimensional reduction of composite plates with in-plane heterogeneity (2011, unknown): “…stress analysis of a representative volume element (Sun and Vaidya, 1996), variational asymptotic method for unit cell homogenization (VAMUCH) (Yu, 2005; Yu and Tang, 2007), and many others (see, e.g. Hollister and Kikuchi (1992), Kalamkarov et al. (2009), Kanouté et al. (2009) for a review).”
A new multiscale computational method for elasto-plastic analysis of heterogeneous materials (2012, methodology): “Kanoute et al. [ 1 ] reviewed some commonly used multiscale methods in the context of modeling mechanical and thermomechanical responses of composites.”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “The use of RVE-based theories in situations of practical interest relies almost exclusively on techniques of computational homogenization, based on finite element methods [30,57,64,77,78,79,80,81,82, 93,115,121].”
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation (2012, unknown): “[8], Peric et al.”
Mechanical properties of open-cell metallic biomaterials manufactured using additive manufacturing (2013, unknown): “of ellipsoidal inclusions [14–17] was used.”
Computational homogenization in magneto-mechanics (2013, methodology): “Reviews of different multi-scales approaches are available in the literature (Kanouté et al., 2009; Pindera et al., 2009; Charalambakis, 2010; Geers et al., 2010).”
Three-dimensional convolutional neural network (3D-CNN) for heterogeneous material homogenization (2020, unknown): “For example, the Voigt and Reuss model provides a quick but rough upper and lower bounds for various properties of a heterogeneous material; however, the gap of the bounds grows with regard to the volume fraction (VF) of inclusions and degree of phase contrast [19].”
Extended multiscale finite element method for mechanical analysis of heterogeneous materials (2010, unknown): “[1] and the references therein).”
Three‐dimensional finite element implementation of the nonuniform transformation field analysis (2010, unknown): “[11] for a review).”
Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions (2010, methodology): “These methods were reviewed in [24] in the continuum mechanics framework.”