| Title: | Strong-form meshless numerical modelling of visco-plastic material |
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| Authors: | ID Vuga, Gašper (Author)
ID Mavrič, Boštjan (Author)
ID Šarler, Božidar (Author) |
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| Files: |  PDF - Presentation file, download (2,46 MB)
MD5: 68A00E8F4397FE5BB86ABCB55F0EFBA3
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0955799724003436
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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: | This work extends our research on the strong-form meshless Radial Basis Function - Finite Difference (RBF-FD) method for solving non-linear visco-plastic mechanical problems. The polyharmonic splines with second-order polynomial augmentation are used for the shape functions. Their coefficients are determined by collocation. Three different approaches (direct, composed, and hybrid) are used for the numerical evaluation of the divergence operator in the equilibrium equation. They are presented and assessed for a visco-plastic material model with continuously differentiable material properties. It is shown that the direct approach is not suitable in this respect. In comparison to the previously investigated elasto-plasticity, it is shown that the composed approach can successfully cope with visco-plastic problems and is found to be even more accurate than the hybrid approach, which has previously proven to be most stable and effective in solving elasto-plasticity. This work extends the applicability of strong-form RBF-FD methods and opens up new areas of modelling non-linear solid mechanics. |
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| Keywords: | visco-plastic material responses, hybrid radial basis, generated finite differences, polyharmonic splines |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.10.2024 |
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| Publisher: | Elsevier |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-17 |
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| Numbering: | Vol. 167, [art. no.] 105868 |
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| Source: | Nizozemska |
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| PID: | 20.500.12556/DiRROS-20996  |
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| UDC: | 539.3:519.6 |
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| ISSN on article: | 0955-7997 |
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| DOI: | 10.1016/j.enganabound.2024.105868 |
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| COBISS.SI-ID: | 201503491 |
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| Copyright: | © 2024 The Author(s) |
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| Publication date in DiRROS: | 16.12.2024 |
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| Views: | 46 |
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| Downloads: | 24 |
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