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  • An improved local radial basis function method for solving small-strain elasto-plasticity
    Vuga, Gašper ; Mavrič, Boštjan, 1989- ; Šarler, Božidar
    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.
    Source: Computer methods in applied mechanics and engineering. - ISSN 0045-7825 (Vol. 418, pt. A, Jan. 2024, str. 1-28)
    Type of material - article, component part ; adult, serious
    Publish date - 2024
    Language - english
    COBISS.SI-ID - 168587267

    Link(s):

    https://www.sciencedirect.com/science/article/pii/S0045782523006254
    Repository of the University of Ljubljana – RUL
    DiRROS - Digital repository of Slovenian research organizations
    DOI

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