| Title: | An improved local radial basis function method for solving small-strain elasto-plasticity |
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| Authors: | ID Vuga, Gašper (Author)
ID Mavrič, Boštjan (Author)
ID Šarler, Božidar (Author) |
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| Files: |  URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0045782523006254
 PDF - Presentation file, download (5,24 MB)
MD5: 9002569EE8C5C3B829457EAB57B06549
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMT - Institute of Metals and Technology
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| Abstract: | Strong-form meshless methods received much attention in recent years and are being extensively researched and applied to a wide range of problems in science and engineering. However, the solution of elasto-plastic problems has proven to be elusive because of often non-smooth constitutive relations between stress and strain. The novelty in tackling them is the introduction of virtual finite difference stencils to formulate a hybrid radial basis function generated finite difference (RBF-FD) method, which is used to solve small-strain von Mises elasto-plasticity for the first time by this original approach. The paper further contrasts the new method to two alternative legacy RBF-FD approaches, which fail when applied to this class of problems. The three approaches differ in the discretization of the divergence operator found in the balance equation that acts on the non-smooth stress field. Additionally, an innovative stabilization technique is employed to stabilize boundary conditions and is shown to be essential for any of the approaches to converge successfully. Approaches are assessed on elastic and elasto-plastic benchmarks where admissible ranges of newly introduced free parameters are studied regarding stability, accuracy, and convergence rate. |
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| Keywords: | Von Mises elasto-plasticity, radial basis function, finite differences, polyharmonic splines, two dimensions, hybrid discretization |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Publisher: | Elsevier |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-28 |
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| Numbering: | Vol. 418, pt. A |
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| Source: | Nizozemska |
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| PID: | 20.500.12556/DiRROS-18274  |
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| UDC: | 539.3:519.62 |
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| ISSN on article: | 0045-7825 |
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| DOI: | 10.1016/j.cma.2023.116501 |
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| COBISS.SI-ID: | 168587267 |
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| Copyright: | © 2023 The Author(s). Published by Elsevier B.V. |
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| Note: | Številka članka: 116501;
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| Publication date in DiRROS: | 28.02.2024 |
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| Views: | 120 |
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| Downloads: | 61 |
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