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  • Strong-form meshless numerical modelling of visco-plastic material
    Vuga, Gašper ; Mavrič, Boštjan, 1989- ; Šarler, Božidar
    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.
    Source: Engineering analysis with boundary elements. - ISSN 0955-7997 (Vol. 167, [art. no.] 105868, Oct. 2024, str. 1-17)
    Type of material - article, component part ; adult, serious
    Publish date - 2024
    Language - english
    COBISS.SI-ID - 201503491

source: Engineering analysis with boundary elements. - ISSN 0955-7997 (Vol. 167, [art. no.] 105868, Oct. 2024, str. 1-17)
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