Coupling Approaches with Non-matching Grids for Classical Linear Elasticity and Bond-based Peridynamic Models in 1D
Uloženo v:
| Název: | Coupling Approaches with Non-matching Grids for Classical Linear Elasticity and Bond-based Peridynamic Models in 1D |
|---|---|
| Autoři: | Patrick Diehl, Emily Downing, Autumn Edwards, Serge Prudhomme |
| Zdroj: | Journal of Peridynamics and Nonlocal Modeling. 7 |
| Publication Status: | Preprint |
| Informace o vydavateli: | Springer Science and Business Media LLC, 2025. |
| Rok vydání: | 2025 |
| Témata: | Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, Computational Engineering, Finance, and Science, Mechanics of Materials, Geotechnical Engineering and Underground Structures, Numerical methods in engineering, Electrical and Electronic Engineering, Electromagnetic Simulation and Numerical Methods, Civil and Structural Engineering |
| Popis: | Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. To facilitate the coupling of the two models, non-matching grids are often desirable as nonlocal grids usually require a finer resolution than local grids. In that case, it is often convenient to resort to interpolation operators so that models can exchange information in the overlap regions when nodes from the two grids do not coincide. This paper studies three existing coupling approaches, namely 1) a method that enforces matching displacements in an overlap region, 2) a variant that enforces a constraint on the stresses instead, and 3) a method that considers a variable horizon in the vicinity of the interfaces. The effect of the interpolation order and of the grid ratio on the performance of the three coupling methods with non-matching grids is carefully studied on one-dimensional examples using polynomial manufactured solutions. The numerical results show that the degree of the interpolants should be chosen with care to avoid introducing additional modeling errors, or simply minimize these errors, in the coupling approach. |
| Druh dokumentu: | Article |
| Jazyk: | English |
| ISSN: | 2522-8978 2522-896X |
| DOI: | 10.1007/s42102-025-00131-9 |
| DOI: | 10.48550/arxiv.2504.06093 |
| Přístupová URL adresa: | http://arxiv.org/abs/2504.06093 https://publications.polymtl.ca/66658/ https://doi.org/10.1007/s42102-025-00131-9 |
| Rights: | Springer Nature TDM arXiv Non-Exclusive Distribution |
| Přístupové číslo: | edsair.doi.dedup.....1f344e9f207d5a227f4b42860e88fea6 |
| Databáze: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstrakt: | Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. To facilitate the coupling of the two models, non-matching grids are often desirable as nonlocal grids usually require a finer resolution than local grids. In that case, it is often convenient to resort to interpolation operators so that models can exchange information in the overlap regions when nodes from the two grids do not coincide. This paper studies three existing coupling approaches, namely 1) a method that enforces matching displacements in an overlap region, 2) a variant that enforces a constraint on the stresses instead, and 3) a method that considers a variable horizon in the vicinity of the interfaces. The effect of the interpolation order and of the grid ratio on the performance of the three coupling methods with non-matching grids is carefully studied on one-dimensional examples using polynomial manufactured solutions. The numerical results show that the degree of the interpolants should be chosen with care to avoid introducing additional modeling errors, or simply minimize these errors, in the coupling approach. |
|---|---|
| ISSN: | 25228978 2522896X |
| DOI: | 10.1007/s42102-025-00131-9 |