Phase-field modeling of the interactions between an edge dislocation and an array of obstacles

Xu, Shuozhi; Cheng, Justin Y.; Li, Zezhou; Mara, Nathan A.; Beyerlein, Irene J.

doi:10.1016/j.cma.2021.114426

Phase-field modeling of the interactions between an edge dislocation and an array of obstacles

Journal Article · Fri Dec 24 00:00:00 EST 2021 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2021.114426· OSTI ID:1976973

^[1]; ^[2]; Li, Zezhou ^[2]; ^[2]; ^[3]

University of California, Santa Barbara, CA (United States); OSTI
University of Minnesota, Minneapolis, MN (United States)
University of California, Santa Barbara, CA (United States)

Obstacles, such as voids and precipitates, are prevalent in crystalline materials. They strengthen crystals by serving as barriers to dislocation glide. Here in this work, we develop a phase-field dislocation dynamics (PFDD) technique for investigating the interactions between dislocations and second-phase obstacles, which can be either voids or precipitates. The PFDD technique is constructed to account for elastic heterogeneity, elastic anisotropy, dissociation of the dislocation, and dislocation transmission across bicrystalline interfaces. Within the framework, we present a model for “pseudo-voids”, which are voids shearable by dislocations, in contrast to unphysical, unshearable voids in conventional phase-field dislocation formulations. We employ the PFDD technique to investigate the in-plane interactions between an edge dislocation and an array of nano-scale obstacles with different spacings. In this application, the interactions take place in glide planes of either a face-centered cubic (FCC) Cu or a body-centered cubic (BCC) Nb matrix, while the precipitates have a Cu_1-xNb_x composition, with x varying from 0.1 to 0.9. Our atomistic simulations find that the alloy precipitates can have an FCC, an amorphous, or a BCC phase, depending on the compositional ratio between Cu and Nb, i.e., value of x. Among all types of obstacles, the critical stresses for dislocation bypass are the highest for unshearable amorphous precipitates, followed by shearable crystalline precipitates, and then the pseudo-voids.

View Accepted Manuscript (DOE)

Research Organization:: Krell Institute, Ames, IA (United States); University of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: NA0003960; SC0020133

OSTI ID:: 1976973

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 389; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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