A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations

By A. Ma, Franz Roters, Dierk Raabe. 2006

435 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/23d75cd8fdfee56a8544caa7cc6d4924136c1b4f

How researchers see this paper

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

In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys (2015, methodology): “A non-local constitutive model has been developed by (Ma et al., 2006) for CPFEM with the emphasis on accumulation of geometrically necessary dislocations (GNDs).”
DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale (2018, background): “= = = = t t F F O ( 0) ( 0) p e 0 such that the plastic configuration of each crystal corresponds to a common cube orientation [65].”
A dislocation density-based single crystal constitutive equation (2010, methodology): “Typical formulations are either elastic-plastic rate-independent (Mandel, 1965; Hill, 1966; Rice, 1971; Hill and Rice, 1972; Asaro and Rice, 1977; Asaro, 1983; Anand and Kothari, 1996; Marin and Dawson, 1998) or viscoplastic (Peirce et al., 1982; Asaro and Needleman, 1985).”
A Finite Element approach with patch projection for strain gradient plasticity formulations (2007, neutral): “…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 suggested in Ohashi (1997, 2004); Abu Al-Rub and Voyiadjis (2005) and Ma et al. (2006).”
Quantification of the effect of transformation-induced geometrically necessary dislocations on the flow-curve modelling of dual-phase steels (2013, methodology): “Also, some investigations used the crystal plasticity finite element method (CPFEM), and results were compared with experimental observations (Zaafarani et al., 2006; Ma et al., 2006a,b).”
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals (2009, background): “…al., 2003, 2004; Heripre et al., 2007; Querin et al., 2007; Dunne et al., 2007; Clayton and McDowell, 2004; Bhattacharyya et al., 2001; Raabe et al., 2001; Ma and Roters, 2004; Ma et al., 2006a,b, Zaafarani et al., 2006, Cheong and Busso, 2004, 2006, Dawson et al., 2002, Kalidindi and Anand, 1993).”
Effects of initial orientation, sample geometry and friction on anisotropy and crystallographic orientation changes in single crystal microcompression deformation: A crystal plasticity finite element study (2007, background): “for the case of single crystal deformation [8], bicrystal deformation [9–11], oligocrystal deformation [12] and nanoindentation [13,14].”