On the continuum formulation of higher gradient plasticity for single and polycrystals

By Andreas Menzel, Paul Steinmann. 2000

176 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4587954882e55dfaacce0bdf3e84f777da51eeec

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, background): “…1999; Evers et al., 2002), to predict geometrical characteristics of deformation bands (Aifantis, 1987; Gurtin, 2000), to provide insight into dislocation nucleation criteria (Acharya, 2003), and to alleviate mesh dependency issues in numerical implementations (cf. Menzel and Steinmann, 2000).”
Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity (2001, result): “From a physical point of view higher gradients in plasticity have been motivated mainly by dislocations in single crystals in the works of Aifantis [1–3] and recently within an alternative framework by Steinmann [4] and Menzel and Steinmann [5].”
Well-posedness of a model of strain gradient plasticity for plastically irrotational materials (2008, methodology): “The model presented by Gurtin and Anand (2005a) is modified here in such a way as to incorporate isotropic hardening directly into the theory, in the spirit of the approach adopted in Han and Reddy (1999) (see also Menzel and Steinmann, 2000 ).”
On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals (2004, background): “…has been developed that incorporate a length scale dependence in the constitutive response of the material through functional dependencies on the plastic strain gradient (MMulhaus and Aifantis, 1991; Fleck and Hutchinson, 1997; Shu and Fleck, 1999; Gao et al., 1999; Acharya and Bassani, 2000).”
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, background): “, 2004), or to additional configurational stresses arising from postulated dependencies of the free-energy on the Nye tensor (Menzel and Steinmann, 2000; Gurtin, 2002; Arsenlis et al., 2004).”
A Finite Element approach with patch projection for strain gradient plasticity formulations (2007, unknown): “For material models with micro-forces conjugated to strain gradient terms (e.g. Fleck and Hutchinson, 1997; Gao et al., 1999; Huang et al., 2000; Menzel and Steinmann, 2000; Yefimov et al., 2004; Mesarovic, 2005; Clayton et al., 2006) mixed element formulations are inevitable because of additional…”
On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity (2004, background): “Kosevich [18] and Kröner [19] and referenced cited therein, Anthony and Azirhi [2], Steinmann [36], Menzel and Steinmann [27], Acharya and Bassani [1], Davini [12], Cermelli and Gurtin [9,10], Svendsen [41] and others and e.”
Update on a class of gradient theories (2003, background): “Since then, several papers have been written on the subject (e.g. Maugin and Muschik, 1994; Valanis, 1996; Polizzotto and Borino, 1998; Shizawa and Zbib, 1999; Menzel and Steinmann, 2000; Gurtin, 2000).”