Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach

By Jacob Aboudi, S. Arnold, B. Bednarcyk. 2012

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A Unified Theory for Constitutive Modeling of Composites (2016, methodology): “If the complete set of properties are needed for a 3D structural analysis, a 3D RVE is usually required [Sun and Vaidya 1996; Fish 2013], while a 2D domain is sufficient if it is modeled using SG-based models (Figure 4b) or some semianalytical models such as GMC/HFGMC [Aboudi et al. 2012].”
Mechanical properties of graphene nanoplatelet/carbon fiber/epoxy hybrid composites: multiscale modeling and experiments (2015, methodology): “The generalized method of cells (GMC) micromechanics theory was used to provide the continuum-level predictions [34-36].”
Magnetostrictive polymer composites: Recent advances in materials, structures and properties (2018, methodology): “The high-fidelity generalized method of cells (HFGMC) is a micromechanical method [184] for predicting the macroscopic response in periodic composite structures.”
Three-dimensional convolutional neural network (3D-CNN) for heterogeneous material homogenization (2020, background): “These approaches can be classified into three categories [2]: (1) Analytical methods, e.”