Description of Hardening Mechanisms in Polycrystalline Inelastic Deformation

Ozernykh, Vladimir S.; Volegov, Pavel S.

doi:10.20310/1810-0198-2016-21-3-1203-1206

Cited by 2 publications

(2 citation statements)

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“…The rate of increase in the critical shear stresses due to the grain-boundary hardening mechanism is defined as follows [ 39 , 41 ]:

where

is the hardening-law parameter, V is the grain volume,

is the contact area between the current and adjacent grain,

is the misorientation measure for these grains,

and

are the shear rate and the accumulated shear for the k -th SS, respectively, and P is the number of regions approximating the grain boundaries. The misorientation measure

has the form:

where

and

are the dislocation Burgers vectors passing from the slip systems of the current and adjacent grains, respectively,

is the normal to the boundary region.…”

Section: Methodsmentioning

confidence: 99%

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Inelastic Deformation of Coronary Stents: Two-Level Model

et al. 2022

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This study describes the internal structure of materials used to produce medical stents. A two-level elastoviscoplastic mathematical model, which sets the parameters and describes the processes at the grain level, was developed and numerically implemented. A separate study was conducted to identify the most dangerous deformation modes in the balloon-expandable stent placement using the finite-element method in COMSOL Multiphysics. As a result, the challenging strain state type required for setting the kinematic loading on a representative macrovolume in the two-level model was obtained. A yield surface for different deformation paths in the principal deformation space for stainless steel AISI 316L was obtained and the effect of grain size on the deformation behavior of this material was explored using the developed model.

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“…The rate of increase in the critical shear stresses due to the grain-boundary hardening mechanism is defined as follows [ 39 , 41 ]:

where

is the hardening-law parameter, V is the grain volume,

is the contact area between the current and adjacent grain,

is the misorientation measure for these grains,

and

are the shear rate and the accumulated shear for the k -th SS, respectively, and P is the number of regions approximating the grain boundaries. The misorientation measure

has the form:

where

and

are the dislocation Burgers vectors passing from the slip systems of the current and adjacent grains, respectively,

is the normal to the boundary region.…”

Section: Methodsmentioning

confidence: 99%

“…In models of inelastic deformation of polycrystals, hardening laws are usually formulated as evolution equations for critical shear stresses of the dislocation motion [ 38 , 39 , 40 , 41 ]. The critical stresses are often increased due to different kinds of barriers, which include grain boundaries.…”

Section: Introductionmentioning

confidence: 99%