A data driven approach for cross-slip modelling in continuum dislocation dynamics

Vivekanandan, Vignesh; Anglin, Benjamin; El-Azab, Anter

doi:10.1016/j.ijplas.2023.103597

A data driven approach for cross-slip modelling in continuum dislocation dynamics

Journal Article · Fri Mar 17 00:00:00 EDT 2023 · International Journal of Plasticity

DOI:https://doi.org/10.1016/j.ijplas.2023.103597· OSTI ID:2420637

^[1]; ^[2]; El-Azab, Anter ^[3]

Purdue Univ., West Lafayette, IN (United States); OSTI
Naval Nuclear Lab., West Mifflin, PA (United States)
Purdue Univ., West Lafayette, IN (United States)

Cross-slip is a thermally activated process by which screw dislocation changes its glide plane to another slip plane sharing the same Burgers vector. The rate at which this process happens is determined by a Boltzmann type expression that is a function of the screw segment length and the stress acting on the dislocation. In continuum dislocation dynamics (CDD), the information regarding the length of the screw dislocation segment and local stress state on dislocations are lost due to the coarse-grained representation of the density. Here, in this work, a data driven approach to characterize the lost information by analyzing the discrete dislocation configurations is proposed to enable cross-slip modeling in the CDD framework in terms of the coarse-grained dislocation density and stress fields. The analysis showed that the screw segment length follows an exponential distribution, and the stress fluctuations, defined as the difference between the stress on the dislocations and the mean field stress in CDD, follows a Lorentzian distribution. A novel approach for cross slip implementation in CDD employing the screw segment length and stress fluctuation statistics was proposed and rigorously tested by comparing the CDD cross-slip rates with discrete dislocation dynamics (DDD) rates. This approach has been applied in conjunction with three cross-slip models used in DDD simulations differing mainly in the functional form of cross slip activation energy. It was found that different cross-slip activation energy formulations yielded different cross-slip rates, yet the effect on mechanical stress-strain response and dislocation density evolution was minimal for the [001] type loading.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: SC0017718

OSTI ID:: 2420637

Alternate ID(s):: OSTI ID: 1963542

Journal Information:: International Journal of Plasticity, Journal Name: International Journal of Plasticity Vol. 164; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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