Non-local crystal plasticity model with intrinsic SSD and GND effects

By Lp Laurens Evers, W. Brekelmans, Mgd Marc Geers. 2004

380 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/76542868cc1eff3486c962a56e5f3bd0bd47aed5

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

1. Dierk Raabe
2. Franz Roters
3. Philip Eisenlohr
4. T. Bieler
5. L. Hantcherli
6. D. Tjahjanto
7. Myoung-Gyu Lee
8. A. Ma

In Mechanical Engineering

1. Dierk Raabe
2. Franz Roters
3. Philip Eisenlohr
4. T. Bieler
5. Myoung-Gyu Lee
6. L. Hantcherli
7. D. Tjahjanto
8. R. Wagoner

Citations in the corpus

• Modeling and simulation in tribology across scales: An overview (2018, background): “, [421-424], accompanied by much more scarce th ree-dimensional crystal-plasticity simulations of the indentation size effect [425,426].”
• A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations (2006, methodology): “In order to meet these requirements some authors [12,13] used the divergence theorem for the transformation of the shear rates and the plastic deformation gradient into dislocation densities.”
• Simulation of polycrystal deformation with grain and grain boundary effects (2011, methodology): “In contrast to back stress formulations based on statistical models (Groma, 1997; Yefimov and van der Giessen, 2004) or strain gradient approaches (Evers et al., 2004), the two-scale model keeps track of dislocation densities (or, equivalently, the number of dislocations) for each element and slip…”
• A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity (2006, methodology): “The evolution of the 12 edge SSD densities of an FCC material, which are required for Eq. (9), is based on the balance between accumulation and annihilation rates according to (Harder, 1999; Arsenlis and Parks, 2002; Evers et al., 2004a, b):”
• Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “interfaces and GNDs in CPFE and Taylor-type homogenization frameworks [20,21,26,83].”
• Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, background): “…microstructurebased multiscale models of plasticity including a variety of size-dependent effects and interface mechanisms (Arsenlis and Parks, 1999, 2002; Arsenlis et al., 2004; Cheong and Busso, 2004; Evers, Brekelmans, and Geers, 2004a,b; Evers et al., 2002; in a lubricated channel-die setup.”
• Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, background): “ and Bassani, 1996, 2000; Acharya et al., 2004; Busso et al. 2000; Menzel and Steinmann, 2000; Gao et al., 2000; Shu et al., 1999, 2001; Gurtin, 2000; Bittencourt et al., 2003; Arsenlis et al., 2002; Evers et al., 2004; Ortiz and Repetto, 1999, Shizawa and Zbib, 1999, Svendsen, 2002, Gudmundson, 200”