Analytical Derivation of Cosserat Moduli via Homogenization of Heterogeneous Elastic Materials

By Davide Bigoni, W. Drugan. 2007

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Evaluation of generalized continuum substitution models for heterogeneous materials (2012, methodology): “The Cosserat and closely related couple-stress models were used as homogeneous substitution media for various composite materials by Bigoni and Drugan (2007); De Bellis and Addessi (2010); Forest and Sab (1998); Larsson and Diebels (2007); Masiani and Trovalusci (1996); Trovalusci and Masiani (2003)”
Analysis of the tilted flat punch in couple-stress elasticity (2016, background): “Additionally, recent studies by Bigoni and Drugan (2007), and Bacca et al. (2013) provided an account of the determination of the couple-stress moduli via homogenization of heterogeneous materials.”
Mindlin second-gradient elastic properties from dilute two-phase Cauchy-elastic composites Part I: Closed form expression for the effective higher-order constitutive tensor (2013, methodology): “From the solution (35), in agreement with Bigoni and Drugan (2007), it can be noted that:”
A unifying perspective: the relaxed linear micromorphic continuum (2013, unknown): “In [11] the opposite claim is made, under the assumption that the inclusion in a Cauchy matrix material is significantly less stiff than the matrix.”