Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials

By S. Forest, F. Barbe, G. Cailletaud. 2000

251 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/23fd3ca86ae12b227ae1e4431e4c2a76b38177f9

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Determination of the size of the representative volume element for random composites: statistical and numerical approach (2003, background): “Note that it is possible to superimpose a constraint of periodicity at the boundary of the volume in the generation of the Vorono€ı mosaic (Decker and Jeulin, 2000; Forest et al., 2000).”
Determination of the size of the representative volume element for random quasi-brittle composites (2009, methodology): “experimental observations (Shan and Gokhale, 2002; Romero and Masad, 2004; Graham and Yang, 2003) by combining basic morphological tools (such as covariance or covariogram of a random set (Zaoui, 2001; Jeulin, 2001) with stereological and image analysis techniques in order to describe the geometrica”
Elastoviscoplastic constitutive frameworks for generalized continua (2003, background): “An example of multi–mechanism elastoviscoplastic Cosserat material is the case of Cosserat crystal plasticity described in [13], [34].”
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);…”
On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “[104–108,282,287], Grammenoudis”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, background): “…makes it possible, in principle, to envisage applications to strain localization phenomena in softening materials, as done in Engelen et al. 2003 and Dillard et al. 2006 , but also to size effects in hardening plasticity, as done in Hutchinson 2000 , Forest et al. 2000a , and Dillard et al. 2006 .”
Computational homogenization for the multi-scale analysis of multi-phase materials (2002, methodology): “These developments have been used by Forest et al. (2000) to model the behaviour of a polycrystalline material consisting of elasto-viscoplastic Cosserat single crystals.”
Nonlinear microstrain theories (2006, background): “It is still a pertinent approach when the grains can deform plastically like in polycrystals (Lachner et al., 1994; Forest et al., 2000 ).”
Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture (2009, methodology): “This difficulty is circumvented through some trick suggested by Gologanu et al. (1997) themselves and used since in a number of works (see for instance Shu et al. (1999), Forest et al. (2000), Matsushima et al. (2000)) for the numerical implementation of various second-gradient models.”
A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results (2007, unknown): “M 3×3 . This is the traditional micropolar approach, see, e.g., [ 27 , 37, 68].”