Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals

Bronkhorst, Curt A.; Kalidindi, Surya R.; Anand, Lallit

doi:10.1098/rsta.1992.0111

Cited by 342 publications

(61 citation statements)

References 12 publications

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“…based on the Taylor-type models (Taylor 1938, van Houtte 1988, Mathur and Dawson 1989, Bronkhorst et al 1992, Miehe et al 1999 or self-consistent schemes (see, e.g. Molinari et al 1987).…”

Section: Homogenization Of the Stressesmentioning

confidence: 99%

“…In order to perform reliable forming simulations, micromechanically based material models offer the opportunity to incorporate microstructural information directly into the material model and to establish a sound physical basis for the model. Taylor-type polycrystal models (Taylor 1938, van Houtte 1988, Mathur and Dawson 1989, Bronkhorst et al 1992, Miehe et al 1999 or self-consistent schemes (see, e.g. Molinari et al 1987) belong to this class of micromechanically based material models.…”

Section: Introductionmentioning

confidence: 99%

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Finite element simulation of metal forming operations with texture based material models

Böhlke

Risy

Bertram

2006

Modelling Simul. Mater. Sci. Eng.

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In this paper two different texture-dependent material models based on the Taylor assumption are discussed and applied to the simulation of deep drawing operations of aluminium. From the numerical point of view, large-scale FE computations based on the Taylor model are very time-intensive and storageconsuming if the crystallographic texture is approximated by several hundred discrete crystals. Furthermore, the Taylor model in its standard form, which is based on discrete crystal orientations, has the disadvantage that the anisotropy is significantly overestimated if only a small number of crystal orientations are used. We quantitatively analyse this overestimation of anisotropy and suggest two Taylor-type models which allow us to reduce the sharpness of the crystallite orientation distribution function related to single crystals or texture components. One model is an elastic-viscoplastic Taylor model based on discrete orientations. The sharpness is reduced by modelling the isotropic background texture by an isotropic material law. The other model is a rigidviscoplastic material one, which is based on continuous model functions on the orientation space. This model allows for a direct incorporation of the scattering around an ideal texture component since the model contains the half-width as a microstructural parameter which can be biased. These models are used to compute yield stresses, R values and earing profiles. The predictions are compared with experimental data.

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“…based on the Taylor-type models (Taylor 1938, van Houtte 1988, Mathur and Dawson 1989, Bronkhorst et al 1992, Miehe et al 1999 or self-consistent schemes (see, e.g. Molinari et al 1987).…”

Section: Homogenization Of the Stressesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite element simulation of metal forming operations with texture based material models

Böhlke

Risy

Bertram

2006

Modelling Simul. Mater. Sci. Eng.

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“…A value of q 1 = 1.4 is employed in the current study for both the crystallographic orientations [46]. Following specific form is adopted for FCC single crystals [1]:…”

Section: Description Of Modeling Approachmentioning

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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“…Since such models are based on constitutive equations on the crystalline level, they take into account micro-mechanical deformation mechanisms (see, e.g. Bronkhorst et al, 1992). Although the models are relatively accurate, they have the disadvantage that large scale simulations are very time consuming.…”

Section: Introductionmentioning

confidence: 99%

A micro‐mechanically based quadratic yield condition for textured polycrystals

2008

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In the present paper a two-scale approach for the description of anisotropies in sheet metals is introduced, which combines the advantages of a macroscopic and a microscopic modeling. While the elastic law, the flow rule, and the hardening rule are formulated on the macroscale, the anisotropy is taken into account in terms of a micro-mechanically defined 4th-order texture coefficient. The texture coefficient specifies the anisotropic part of the elasticity tensor and the quadratic yield condition. The evolution of the texture coefficient is described by a rigid-viscoplastic Taylor type model. The advantage of the suggested model compared to the classical v. Mises-Hill model is first that macroscopic anisotropy parameters can be identified based on a texture measurement, and second that the anisotropy of the elastic and the plastic behavior is generally pathdependent, and that this path-dependence is related to a micro-mechanical deformation mechanism. An explicit modeling of the plastic spin is circumvented by the aforementioned micro-mechanical approach. The model is implemented into the FE code ABAQUS and applied to the simulation of the deep drawing process of aluminum.

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Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals

Cited by 342 publications

References 12 publications

Finite element simulation of metal forming operations with texture based material models

Finite element simulation of metal forming operations with texture based material models

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

A micro‐mechanically based quadratic yield condition for textured polycrystals

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