Lattice incompatibility and a gradient theory of crystal plasticity

By Amit Acharya, J. Bassani. 2000

466 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0971716c487f96a22a96510cf27f76cb1d05db9d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Ductile damage evolution under triaxial state of stress: theory and experiments (2005, methodology): “Tvergaard and Niordoson (2004) investigated the role of smaller size voids in a ductile damage material using on-local plasticity model as proposed by Acharya and Bassani (2000). Schacht et al.”
Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory (2004, background): “The presence of microcracks/microvoids as lattice defects, which impedes the movement of dislocations, is an example of r2 (Acharya and Bassani, 2000; Bassani, 2001).”
A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, background): “In passing, we note that Acharya and Bassani (2000) adopts a different approach whereby the spatial derivatives of Fe 1 are linked explicitly to the lattice incompatibility while Cermelli and Gurtin (2001) propose curlðFpÞFpT .”
Gradient plasticity theory with a variable length scale parameter (2005, background): “In this connection, a similarly motivated strain gradient theory of plasticity based on incompatible lattice deformations was recently advanced by Acharya and Bassani (2000), Bassani (2001), and Gurtin (2002, 2003).”
A Finite Element approach with patch projection for strain gradient plasticity formulations (2007, unknown): “For strain gradient models where micro-forces are not incorporated (e.g. Acharya and Bassani, 2000; Evers et al., 2002; Ohashi, 2004, 2005; Han et al., 2005a; Abu Al-Rub and Voyiadjis, 2006) higher order elements can be avoided by using the data of neighboring elements in the iteration process, as…”
Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, background): “In recent years, higher order plasticity theories have exhibited a resurgence in popularity, as evidenced by an abundance of models featured in the literature (cf. Aifantis, 1987; Fleck and Hutchinson, 1993; Nagdhi and Srinivasa, 1993; Fleck et al., 1994; Le and Stumpf, 1996a; Shizawa and Zbib, 1999”
Consistent determination of geometrically necessary dislocation density from simulations and experiments (2018, background): “Acharya and Bassani (Acharya and Bassani, 2000) defined closure failure with respect to deformed configuration x, where x = X + u, as”
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).”