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

Ma, Anxin; Roters, Franz

doi:10.1016/j.actamat.2004.04.012

Cited by 257 publications

(157 citation statements)

References 17 publications

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“…(2) to be formulated based on a set of state variables that can also be used as microstructure descriptors. Following the spirit of Orowan equationγ = ρ M bv where ρ M is the mobile dislocation density, b the magnitude of Burgers vector, and v the average dislocation velocity, Ma and Roters (2004) and Ma et al (2006) derived a dislocation-based flow rule for single-phase FCC metals:…”

Section: Crystal Plasticity Constitutive Lawsmentioning

confidence: 99%

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

Zhao

Low

Wang

et al. 2016

International Journal of Plasticity

105

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Many time-dependent deformation processes at elevated temperatures produce significant concurrent microstructure changes that can alter the mechanical properties in a profound manner. Such microstructure evolution is usually absent in mesoscale deformation models and simulations. Here we present an integrated full-field modeling scheme that couples the mechanical response with the underlying microstructure evolution. As a first demonstration, we integrate a fast Fourier transform-based elasto-viscoplastic (FFT-EVP) model with a phase-field (PF) recrystallization model, and carry out three-dimensional simulations of dynamic recrystallization (DRX) in polycrystalline copper. A physics-based coupling between FFT-EVP and PF is achieved by (1) adopting a dislocation-based constitutive model in FFT-EVP, which allows the predicted dislocation density distribution to be converted to a stored energy distribution and passed to PF, and (2) implementing a stochastic nucleation model for DRX. Calibrated with the experimental DRX stress-strain curves, the integrated model is able to deliver full-field mechanical and microstructural information, from which quantitative description and analysis of DRX can be achieved. It is suggested that the initiation of DRX occurs significantly earlier than previous predictions, due to heterogeneous deformation. DRX grains are revealed to form at both grain boundaries and junctions (e.g., quadruple junctions) and tend to grow in a wedge-like fashion to maintain a triple line (not necessarily in equilibrium) with old grains. The resulting stress redistribution due to strain compatibility is found to have a profound influence on the subsequent dislocation evolution and softening.

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Section: Crystal Plasticity Constitutive Lawsmentioning

confidence: 99%

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

Zhao

Low

Wang

et al. 2016

International Journal of Plasticity

105

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“…The shortcoming of such viscoplastic formulations is the absence of an internal variable concept beyond the incorporation of the crystal orientation. More advanced variants of the crystal plasticity finite element method, therefore, replace the viscoplastic constitutive description by dislocation-based models [9,10,[19][20][21][22][23][24][25][26]. Since it is likely that some dislocation effects which cannot be readily captured by viscoplastic hardening laws may play a substantial role in nanoindentation of single crystals, we use in this study an advanced crystal plasticity finite element method which is based on dislocation rate formulations for the simulation of nanoindentation.…”

Section: Motivationmentioning

confidence: 99%

“…[9,10] adopts the Orowan equation as a kinematic equation on each slip system to establish a connection between the shear rate and the mobile dislocation density…”

Section: Theorymentioning

confidence: 99%

“…For this purpose, we take the following approach: first, the rotation patterns are investigated by a high-resolution three-dimensional (3D) EBSD technique (EBSD tomography) for a nanoindent performed by a conical indenter with a spherical tip in a copper single crystal. Next, we conduct advanced crystal plasticity finite element simulations which are based not on a viscoplastic formulation but on a dislocation density-based constitutive model [9,10]. Finally, the results are discussed in terms of a geometrical model which simplifies the boundary conditions imposed during indentation in terms of a compressive state normal to the local tangent of the indent rim.…”

Section: Introductionmentioning

confidence: 99%

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On the origin of deformation-induced rotation patterns below nanoindents

et al. 2008

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“…There are two main groups of constitutive models differentiated by the nature of the state variable they use: phenomenological models mostly use a critical resolved shear stress as state variable for each slip system [19][20][21][22], while physically-based constitutive models rely on the dislocation density as state variable since dislocations are considered the main carriers of plasticity [23][24][25]. Most of the existing CP frameworks have been focused on fcc metals [26][27][28][29], while only a few studies have been devoted to study bcc plasticity. The selection of active slip systems in the constitutive framework will also affect the predictions of the model.…”

Section: Introductionmentioning

confidence: 99%

Linking atomistic, kinetic Monte Carlo and crystal plasticity simulations of single‐crystal tungsten strength

et al. 2015

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Understanding and improving the mechanical properties of tungsten is a critical task for the materials fusion energy program. The plastic behavior in body‐centered cubic (bcc) metals like tungsten is governed primarily by screw dislocations on the atomic scale and by ensembles and interactions of dislocations at larger scales. Modeling this behavior requires the application of methods capable of resolving each relevant scale. At the small scale, atomistic methods are used to study single dislocation properties, while at the coarse‐scale, continuum models are used to cover the interactions between dislocations. In this work we present a multiscale model that comprises atomistic, kinetic Monte Carlo (kMC) and continuum‐level crystal plasticity (CP) calculations. The function relating dislocation velocity to applied stress and temperature is obtained from the kMC model and it is used as the main source of constitutive information into a dislocation‐based CP framework. The complete model is used to perform material point simulations of single‐crystal tungsten strength. We explore the entire crystallographic orientation space of the standard triangle. Non‐Schmid effects are inlcuded in the model by considering the twinning‐antitwinning (T/AT) asymmetry in the kMC calculations. We consider the importance of 〈111〉{110} and 〈111〉{112} slip systems in the homologous temperature range from 0.08Tm to 0.33Tm, where Tm =3680 K is the melting point in tungsten. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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

Cited by 257 publications

References 17 publications

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

On the origin of deformation-induced rotation patterns below nanoindents

Linking atomistic, kinetic Monte Carlo and crystal plasticity simulations of single‐crystal tungsten strength

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