Strong-form meshless numerical modelling of visco-plastic material

Vuga, Gašper (author), Mavrič, Boštjan (author), Šarler, Božidar (author)

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.

• Language: English
• Keywords: visco-plastic material responses, hybrid radial basis, generated finite differences, polyharmonic splines, strong-form meshless numerical modelling, von Mises small strain visco-plasticity, radial basis function generated finite differences
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 17 str.
• Numbering: Vol. 167, art. 105868
• PID: 20.500.12556/RUL-159524
• UDC: 539.3:519.6
• ISSN on article: 0955-7997
• DOI: 10.1016/j.enganabound.2024.105868
• COBISS.SI-ID: 201503491
• Publication date in RUL: 11.07.2024

Record is a part of a journal

• Title: Engineering analysis with boundary elements
• Shortened title: Eng. anal. bound. elem.
• Publisher: Elsevier
• ISSN: 0955-7997
• COBISS.SI-ID: 5605380

Licences

• License: CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
• Link: http://creativecommons.org/licenses/by-nc/4.0/
• Description: A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

• Language: Slovenian
• Keywords: viskoplastični materialni odzivi, hibridne končne diference, radialne bazne funkcije, poliharmonični zlepki