2019
DOI: 10.1016/j.mtla.2019.100411
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High- vs. low-fidelity models for dynamic recrystallization in copper

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Cited by 7 publications
(3 citation statements)
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“…To this end, new methods [18,2] are being developed for operator learning, which aims to learn the mapping in the functional space and avoid mesh dependence. In computational solid mechanics, currently both PINNs and operator learning methods have been applied only to simple PDEs in regular domains but are promising for future application to complex material systems such as those with sharp discontinuities and localization, multiscale metallic systems, or loss of uniqueness in the solutions (e.g., see [16,17,27]).…”
Section: Learning To Solve Pdesmentioning
confidence: 99%
“…To this end, new methods [18,2] are being developed for operator learning, which aims to learn the mapping in the functional space and avoid mesh dependence. In computational solid mechanics, currently both PINNs and operator learning methods have been applied only to simple PDEs in regular domains but are promising for future application to complex material systems such as those with sharp discontinuities and localization, multiscale metallic systems, or loss of uniqueness in the solutions (e.g., see [16,17,27]).…”
Section: Learning To Solve Pdesmentioning
confidence: 99%
“…The evolution of the grain microstructure is then employed by Monte Carlo sampling of the lattice sites, where a change to the state of a site is accepted or rejected based on a switching probability [299], [300]. Even though the MC Potts approach to model recrystallization is frequently used due to its versatility and flexibility to represent many different physical features of the recrystallization process (such as overall texture evolution [320]), until very recently [321], this methodology excluded the grain-scale micromechanical effects on recrystallization process in a full-field sense. Such effects have mostly been incorporated using crystal plasticity models coupled with either phase-field equations or the cellular automata approach.…”
Section: Modeling Recrystallizationmentioning
confidence: 99%
“…Following the classification provided in [22,23], grain refinement models can be classified into three main types: continuum models based on the macrophenomenological approach [24][25][26][27]; physically-based continuum models [28][29][30][31][32][33][34][35]; and multilevel crystal plasticity models. Recent decades have been marked by the appearance of some modifications of statistical [36][37][38][39][40][41], self-consistent [42][43][44][45][46][47] and direct crystal plasticity CMs [48][49][50][51][52][53], designed to take grain refinement into consideration. Separately, let us note that to describe the processes in question at the microlevel, a popular approach is modeling using the method of molecular dynamics [54][55][56][57].…”
Section: Introductionmentioning
confidence: 99%