Asymptotic analysis of heterogeneous Cosserat media

By S. Forest, F. Pradel, Karam Sab. 2001

200 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2a5eea8ae8e60557a88c69b47aad05e00ee9b5a0

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Particulate random composites homogenized as micropolar materials (2014, background): “deformation mechanisms which can be prominent when particles sizes and/or inter-particle spacings are comparable to lc [2, 3, 17].”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, unknown): “For instance, homogenization of Cosserat composites was considered in [21, 39, 51].”
A limit analysis approach based on Cosserat continuum for the evaluation of the in-plane strength of discrete media: Application to masonry (2017, unknown): “By this pass to the limit, asymptotic homogenisation tends to erase any internal length related to the material micro-structure, that higher order continuum theories such as the Cosserat one are, on the contrary, able to capture (Forest and Sab, 1998; Pradel and Sab, 1998; Forest et al., 2001).”
Dynamic finite element formulation for Cosserat elastic plates (2015, methodology): “Models based on Cosserat continuum have been employed, for instance, in the representation of granular media [2]–[4], rock masses [5], [6], block [7]–[9] and layered structures [10], polycrystals and composites materials [10], [11], structures of beams, nanostructures and continuous robotic systems ”
Computational homogenization for the multi-scale analysis of multi-phase materials (2002, methodology): “In Forest et al. (2001), the asymptotic homogenization method, classically used for periodic heterogeneous materials, has been applied to linearly elastic Cosserat microstructural constituents.”
Computational second-order homogenization of materials with effective anisotropic strain-gradient behavior (2020, methodology): “[30,23,24,3]) to prescribe an effective strain-gradient over the RVE (see Appendix B):”
A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, background): “couple stress theory [89], Cosserat media [90], nonlocal continua [34] or higher-order elastic materials [91–93].”
Geometrically nonlinear higher-gradient elasticity with energetic boundaries (2013, background): “• The papers which try to establish which “microscopical” structure may produce at a macroscopic level general- ized continuum theories: Forest et al. (2000, 2001); Tenek and Aifantis (2001); Sunyk and Steinmann (2003); Forest and Sievert (2003); Maranganti and Sharma (2007); Nikolov et al. (2007);…”
Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme (2002, methodology): “A selection of examples in the eld of metal–matrix composites has been collected, for example, in Reference [7].”