A unified periodical boundary conditions for representative volume elements of composites and applications

By Z. Xia, Yunfa Zhang, F. Ellyin. 2003

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Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, background): “The microscale stress field rðx; yÞ is evaluated by solving the RVE equilibrium problem subject to the overall strain eðxÞ.”
Development of an ABAQUS plugin tool for periodic RVE homogenisation (2018, methodology): “However, that is not the case for orthotropic representation and shear modulus estimation, since it will over-constrain the RVE, leading to overestimating the composite elastic properties [13].”
Unit cell models of piezoelectric fiber composites for numerical and analytical calculation of effective properties (2006, background): “unit cell surfaces described in Cartesian coordinates are given in [15, 19]: ui = S̄i j x j + vi .”