On plastic deformation and the dynamics of 3D dislocations

Zbib, Hussein M.; Rhee, Min Suk; Hirth, J. P.

doi:10.1016/s0020-7403(97)00043-x

Cited by 421 publications

(248 citation statements)

References 17 publications

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“…Zbib et al, 1998;Segurado et al, 2007;Groh et al, 2009;Wang et al, 2009b;Danas et al, 2010) or atomistic simulations (e.g. Wang et al, 2009a;Groh et al, 2009;Yue et al, 2010), finite element modeling (FEM) remains by far one of the only techniques able to accurately describe crystal plasticity deformation while avoiding the drastic length-and time-scale limitations plaguing the two other techniques (see for example Roters et al (2010) for an overview of the finite element modeling applications in crystal plasticity).…”

Section: Introductionmentioning

confidence: 99%

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation

Fernández

Prado

Wei

et al. 2011

International Journal of Plasticity

103

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a b s t r a c tLightweight magnesium alloys, such as AZ31, constitute alternative materials of interest for many industrial sectors such as the transport industry. For instance, reducing vehicle weight and thus fuel consumption can actively benefit the global efforts of the current environmental industry policies. To this end, several research groups are focusing their experimental efforts on the development of advanced Mg alloys. However, comparatively little computational work has been oriented towards the simulation of the micromechanisms underlying the deformation of these metals. Among them, the model developed by Staroselsky and Anand [Staroselsky, A., Anand, L., 2003. A constitutive model for HCP materials deforming by slip and twinning: application to magnesium alloy AZ31B. International Journal of Plasticity 19 (10), 1843-1864] successfully captured some of the intrinsic features of deformation in Magnesium alloys. Nevertheless, some deformation micromechanisms, such as cross-hardening between slip and twin systems, have been either simplified or disregarded. In this work, we propose the development of a crystal plasticity continuum model aimed at fully describing the intrinsic deformation mechanisms between slip and twin systems. In order to calibrate and validate the proposed model, an experimental campaign consisting of a set of quasi-static compression tests at room temperature along the rolling and normal directions of a polycrystalline AZ31 rolled sheet, as well as an analysis of the crystallographic texture at different stages of deformation, has been carried out. The model is then exploited by investigating stress and strain fields, texture evolution, and slip and twin activities during deformation. The flexibility of the overall model is ultimately demonstrated by casting light on an experimental controversy on the role of the pyramidal slip hc + ai versus compression twinning in the late stage of polycrystalline deformation, and a failure criterion related to basal slip activity is proposed.

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Section: Introductionmentioning

confidence: 99%

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation

Fernández

Prado

Wei

et al. 2011

International Journal of Plasticity

103

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“…Similar trend was observed for the strain rates of 2300 s −1 and 4500 s −1 in both the orientations. This plastic strain rate is related to the resolved plastic strain rate according tȯ (11) where S (α) is the Schmidt factor of the slip plane α. The value of˙obtained from Eq.…”

Section: Dislocation Dynamics Simulationsmentioning

confidence: 99%

“…Simulations at nano-, micro-and mesoscales have been performed to investigate the deformation process in single crystals. For instance, at the microlevel, several attempts have been made to simulate dislocation microstructures governing the plastic flow in metals [9][10][11][12]. Dislocation dynamics simulations have also been performed to examine plasticity in FCC metals like Ni [13] and Cu [14,15].…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of plasticity in a copper single crystal deformed at high strain rates

Chandra

Samal

Chavan

et al. 2015

Plasticity and Mechanics of Defects

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A hierarchical multiscale modeling approach is presented to predict the mechanical response of dynamically deformed (1100 s −1 −4500 s −1 ) copper single crystal in two different crystallographic orientations. An attempt has been made to bridge the gap between nano-, micro-and meso-scales. In view of this, Molecular Dynamics (MD) simulations at nanoscale are performed to quantify the drag coefficient for dislocations which has been exploited in Dislocation Dynamics (DD) regime at the microscale. Discrete dislocation dynamics simulations are then performed to calculate the hardening parameters required by the physics based Crystal Plasticity (CP) model at the mesoscale. The crystal plasticity model employed is based on thermally activated theory for plastic flow. Crystal plasticity simulations are performed to quantify the mechanical response of the copper single crystal in terms of stressstrain curves and shape changes under dynamic loading. The deformation response obtained from CP simulations is in good agreement with the experimental data.

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“…The analysis is based on explicit evaluation of dislocation motion and their interaction with other defects and particles. A complete description of micro3d is given in many articles by Zbib and co-workers [4,5]. The result is a set of nonlinear differential equations governing the motion of the dislocation segments.…”

Section: The 3d Discrete Dislocation Dynamics Model (Dd)mentioning

confidence: 99%

Size and boundary effects in discrete dislocation dynamics: coupling with continuum finite element

Yasin

Zbib

Khaleel

2001

Materials Science and Engineering: A

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In this work, we develop a framework coupling continuum elasto-viscoplasticity with three-dimensional discrete dislocation dynamics (micro3d). The main problem is to carry out rigorous analyses to simulate the deformation of single crystal metals (fcc and bcc) of finite domains. While the overall macroscopic response of the crystal is based on the continuum theory, the constitutive response is determined by discrete dislocation dynamics analyses using micro3d. Size effects are investigated by considering two boundary value problems: (1) uniaxial loading of a single crystal cube, and (2) bending of a single crystal micro-beam. It is shown that boundary conditions and the size of the computational cell have significant effect on the results due to image stresses from free-boundaries. The investigation shows that surface effects cannot be ignored regardless of the cell size, and may result in errors as much as 10%. Preliminary results pertaining to dislocation structures under bending conditions are also given. Published by Elsevier Science B.V.

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On plastic deformation and the dynamics of 3D dislocations

Cited by 421 publications

References 17 publications

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation

Multiscale modeling of plasticity in a copper single crystal deformed at high strain rates

Size and boundary effects in discrete dislocation dynamics: coupling with continuum finite element

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