Abstract
The Generalized Method of Cells (GMC) micromechanics theory is presented. This model is based on the same fundamental concepts as the Method of Cells (MOC) discussed in the previous chapter; however, in GMC the level of discretization of the composite repeating unit cell is arbitrary. This allows the method to capture more accurate local stress and strain fields and capture a range of microstructural effects in composite materials. Detailed derivations of the triply periodic and doubly periodic versions of GMC are presented. Although more computationally demanding, GMC is still extremely computationally efficient, especially when the reformulated versions of the theory's equations are used. The effective properties and local fields predicted by GMC are evaluated by comparison with other methods. Then, several applications of the GMC theory to modeling the linear and nonlinear responses of unidirectional, discontinuous, and woven composites are given and discussed.
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