Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing nonlocal modeling issues such as surface effects. The number and variety of proposed LtN coupling approaches have significantly grown in recent years, yet the field of LtN coupling continues to grow and still has open challenges. This review provides an overview of the state of the art of LtN coupling in the context of nonlocal diffusion and nonlocal mechanics, specifically peridynamics. Furthermore, we present a classification of LtN coupling methods and discuss common features and challenges. The goal of this review is not to provide a preferred way to address LtN coupling but to present a broad perspective of the field, which would serve as guidance for practitioners in the selection of appropriate LtN coupling methods based on the characteristics and needs of the problem under consideration.
D’Elia, Marta, et al. "A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics." Journal of Peridynamics and Nonlocal Modeling, vol. TBD, no. TBD, Nov. 2021. https://doi.org/10.1007/s42102-020-00038-7
D’Elia, Marta, Li, Xingjie, Seleson, Pablo, et al., "A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics," Journal of Peridynamics and Nonlocal Modeling TBD, no. TBD (2021), https://doi.org/10.1007/s42102-020-00038-7
@article{osti_1833985,
author = {D’Elia, Marta and Li, Xingjie and Seleson, Pablo and Tian, Xiaochuan and Yu, Yue},
title = {A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics},
annote = {Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing nonlocal modeling issues such as surface effects. The number and variety of proposed LtN coupling approaches have significantly grown in recent years, yet the field of LtN coupling continues to grow and still has open challenges. This review provides an overview of the state of the art of LtN coupling in the context of nonlocal diffusion and nonlocal mechanics, specifically peridynamics. Furthermore, we present a classification of LtN coupling methods and discuss common features and challenges. The goal of this review is not to provide a preferred way to address LtN coupling but to present a broad perspective of the field, which would serve as guidance for practitioners in the selection of appropriate LtN coupling methods based on the characteristics and needs of the problem under consideration.},
doi = {10.1007/s42102-020-00038-7},
url = {https://www.osti.gov/biblio/1833985},
journal = {Journal of Peridynamics and Nonlocal Modeling},
issn = {ISSN 2522-896X},
number = {TBD},
volume = {TBD},
place = {United States},
publisher = {Springer Nature},
year = {2021},
month = {11}}
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
Grant/Contract Number:
AC05-00OR22725; NA0003525
OSTI ID:
1833985
Alternate ID(s):
OSTI ID: 1834348
Journal Information:
Journal of Peridynamics and Nonlocal Modeling, Journal Name: Journal of Peridynamics and Nonlocal Modeling Journal Issue: TBD Vol. TBD; ISSN 2522-896X
Di Paola, Mario; Failla, Giuseppe; Pirrotta, Antonina
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 1993https://doi.org/10.1098/rsta.2012.0433