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A hybrid radial basis function-finite difference method for modelling two-dimensional thermo-elasto-plasticity, Part 1 : method formulation and testingVuga, Gašper ; Mavrič, Boštjan, 1989- ; Šarler, BožidarA hybrid version of the strong form meshless Radial Basis Function-Finite Difference (RBF-FD) method is introduced for solving thermo-mechanics. The thermal model is spatially discretised with ... RBF-FD, where trial functions are polyharmonic splines augmented with polynomials. For time discretisation, the explicit Euler method is employed. An extension of RBF-FD, the hybrid RBF-FD, is introduced for solving mechanical problems. The model is one-way coupled, where temperature affects displacements. The thermo-elastoplastic material response is considered where the stress field is generally non-smooth. The hybrid RBF-FD, where the finite difference method is used to discretise the divergence operator from the balance equation, is shown to be successful when dealing with such problems. The mechanical model is introduced in a plane strain and in a generalised plane strain (GPS) assumption. For the first time, this work presents a strong form RBF-FD for GPS problems subjected to integral form constraints. The proposed method is assessed regarding h-convergence and accuracy on the benchmark with heating an elastoplastic square. It is proven to be successful at solving one-way coupled thermo-elastoplastic problems. The proposed novel meshless approach is efficient, accurate, and robust. Its use in an industrial situation is provided in Part 2 of this paper.Source: Engineering analysis with boundary elements. - ISSN 0955-7997 (Vol. 159, Feb. 2024, str. 58-67)Type of material - article, component part ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 174529795
Author
Vuga, Gašper |
Mavrič, Boštjan, 1989- |
Šarler, Božidar
Topics
thermo-mechanical modelling |
von Mises small strain plasticity |
hybrid radial basis function generated finite differences |
polyharmonic splines |
termo-mehansko modeliranje |
von Misesova plastičnost z majhnimi deformacijami |
hibridne končne diference generirane z radialnimi baznimi funkcijami |
poliharmonični zlepki
Author | Vuga, Gašper ; Mavrič, Boštjan, 1989- ; Šarler, Božidar |
Title | A hybrid radial basis function-finite difference method for modelling two-dimensional thermo-elasto-plasticity, Part 1 : method formulation and testing |
Publication date | 2024-02-01 |
COBISS.SI-ID | 174529795 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Tranzientni dvofazni tokovi (2009-2021) -> Večfazni sistemi (2022-2027) | P2-0162-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
NAPREDNA SIMULACIJA IN OPTIMIZACIJA CELOTNE PROCESNE POTI ZA IZDELAVO VRHUNSKIH JEKEL | L2-3173-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Razvoj naprednih brezmrežnih metod za modeliranje predelave kovin na visokozmogljivih računalnikih | Z2-2640-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Mladi raziskovalec | MR | MR |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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https://www.sciencedirect.com/science/article/pii/S095579972300543X |
https://dirros.openscience.si/IzpisGradiva.php?id=18277 |
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=152636 |
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Database name | Field | Year |
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Vuga, Gašper | 53510 |
Mavrič, Boštjan, 1989- | 36364 |
Šarler, Božidar | 04101 |
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