A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals

By A. Ma, Franz Roters. 2004

294 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f6ea72cbb15b5a33821c3da6edeeea3168bf34e8

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, unknown): “Ma and Roters, 2004; Ma, Roters, and Raabe, 2006a,b).”
A Finite Element approach with patch projection for strain gradient plasticity formulations (2007, unknown): “The material model is formulated in terms for evolution equations for different dislocation densities resolved to individual slip systems (see Ma et al., 2006; Ma and Roters, 2004; Roters, 2003).”
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, methodology): “p are projections for the forest dislocation density as introduced in [144].”
Constitutive modelling of plasticity of fcc metals under extremely high strain rates (2012, background): “This linear relation may be verified too by the evolution curves of the total dislocation density and mobile dislocation density (Ma and Roters, 2004).”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “Here, the LEVENBERG-MARQUARDT NLSM optimization algorithm (Levenberg, 1944; Marquardt, 1963) is employed to find the optimal fitting parameter set and is briefly presented in the following.”
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations (2006, methodology): “From [11,18] we know that by applying the principle of maximum plastic dissipation for the external resolved shear stress during the plastic deformation”
A dislocation density-based single crystal constitutive equation (2010, methodology): “Recent applications of CP-FEA have been extended to the deformation of single, bi- and polycrystals (Zaefferer et al., 2003; Ma et al., 2006; Zaafarani et al., 2006; Raabe et al., 2007), incorporating size dependence through strain gradient terms (Abu Al-Rub and Voyiadijus, 2005) and…”
On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling – Theory, experiments, and simulations (2006, unknown): “[1] or [21]).”
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals (2009, unknown): “…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).”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “[21], Cheong and Busso [22], Ma and Roters [23], Evers et al.”