دورية أكاديمية
Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics
| العنوان: | Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics |
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| المؤلفون: | Yeying Zhou, Chunguang Li, Xinshan Zhuang, Zhifen Wang |
| المصدر: | Mathematics, Vol 12, Iss 9, p 1316 (2024) |
| بيانات النشر: | MDPI AG, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | nonlocal differential operator, generalized finite difference method, elastostatics, numerical simulation, computational efficiency, robustness, Mathematics, QA1-939 |
| الوصف: | This study proposes an innovative meshless approach that merges the peridynamic differential operator (PDDO) with the generalized finite difference method (GFDM). Based on the PDDO theory, this method introduces a new nonlocal differential operator that aims to reduce the pre-assumption required for the PDDO method and simplify the calculation process. By discretizing through the particle approximation method, this technique proficiently preserves the PDDO’s nonlocal features, enhancing the numerical simulation’s flexibility and usability. Through the numerical simulation of classical elastic static problems, this article focuses on the evaluation of the calculation accuracy, calculation efficiency, robustness, and convergence of the method. This method is significantly stronger than the finite element method in many performance indicators. In fact, this study demonstrates the practicability and superiority of the proposed method in the field of elastic statics and provides a new approach to more complex problems. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 12091316 2227-7390 |
| Relation: | https://www.mdpi.com/2227-7390/12/9/1316; https://doaj.org/toc/2227-7390 |
| DOI: | 10.3390/math12091316 |
| URL الوصول: | https://doaj.org/article/6f3e41e1975c423ba5e05584b3f97e75 |
| رقم الأكسشن: | edsdoj.6f3e41e1975c423ba5e05584b3f97e75 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 12091316 22277390 |
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| DOI: | 10.3390/math12091316 |