A micromechanically based couple–stress model of an elastic two-phase composite

By Frederic Bouyge, Iwona Jasiuk, Martin Ostoja-Starzewski. 2001

108 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7add9fcb61627726d730867c381465390dc26a29

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme (2002, methodology): “[34] have used the unit cell modelling with a di erent type”
Evaluation of generalized continuum substitution models for heterogeneous materials (2012, background): “Some components of the quadratic term corresponding to bending modes are sufficient for the construction of an overall couple-stress medium in Ostoja-Starzewski et al. (1999) and Bouyge et al. (2001).”
How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert” (2012, unknown): “[101], [12], [13], [75], [102], [74], [9], [124], [125], [128], [42], [79], [117]).”
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): “…Seppecher (1997), and Wang and Stronge (1999); numerical approaches were given by Auffray et al. (2010), Forest (1998), Ostoja-Starzewski et al. (1999), and Bouyge et al. (2001); experiments were provided by Anderson and Lakes (1994), Buechner and Lakes (2003), Lakes (1986), and Gauthier (1982)).”
A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media (2012, background): “Note that in Bouyge et al. (2001), Kouznetsova et al. (2002) and Yuan et al. (2008), where higher order boundary conditions for the unit cell are used, the macroscopic behavior of the composite remains described by a gradient elasticity model even if at the local scale the material remains homogeneo”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, methodology): “They were used to identify higher order stiffness, typically bending stiffnesses, that are necessary to account for fiber size effect in composites under significant macroscopic strain gradients, in [2,8,9,11,44,48].”
A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies (2007, background): “For further discussion in this context the reader is referred to Kroner (1970), Gutkin and Aifantis (1999), Gutkin (2000), Forest et al. (2000), Drugan (2000), Frantziskonis and Aifantis (2002), Bouyge et al. (2001) , Fatemi et al. (2002), Groma et al. (2003) and Onck (2003).”
Computational homogenization for the multi-scale analysis of multi-phase materials (2002, methodology): “Ostoja-Starzewski et al. (1999) and Bouyge et al. (2001) used the unit cell modelling with different types of boundary conditions to calculate the overall moduli and the characteristic length of a homogenized couple-stress medium, composed of classical linearly elastic constituents.”