Stress field and interaction forces between dislocations and precipitate distributions

Takahashi, A.; Kasuya, T.; Ghoniem, N. M.

doi:10.1002/nme.7468

Title: Stress field and interaction forces between dislocations and precipitate distributions

Journal Article · 29 February 2024 · International Journal for Numerical Methods in Engineering

DOI: https://doi.org/10.1002/nme.7468 · OSTI ID:2317688

^[1]; Kasuya, T. ^[1]; Ghoniem, N. M. ^[2]

Department of Mechanical and Aerospace Engineering, Faculty of Science and Technology Tokyo University of Science Noda‐shi Chiba Japan
Department of Mechanical and Aerospace Engineering University of California Los Angeles California USA

Abstract A computational method is developed for calculation of the stress field and interaction forces between dislocations and precipitates of arbitrary shape and distribution. The internal stress generated by precipitates due to coherency strain is implemented within the discrete dislocation dynamics (DDD) framework. The s‐version finite element method (s‐FEM), which models a precipitate of arbitrary shape using a local mesh is used to calculate coherency stress fields. The method facilitates meshing precipitate volumes of arbitrary geometry, and multiple local meshes can be superimposed at various positions of the global mesh. Accuracy and convergence conditions of the method are established. For a single precipiate, the method is shown to be 3.5 times faster than a standard FEM calculation for the same accuracy, and the gain in speed increases with the number of precipitates. The CRSS of spherical precipitates is found to be higher than disk‐shaped precipitates of the same volume fraction.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: DE‐SC0018410

OSTI ID:: 2317688

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Vol. 125 Journal Issue: 11; ISSN 0029-5981

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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