  When the deformations of a solid body are sufficiently large, parts of the
body undergo a permanent deformation commonly refereed to as plastic
deformation. Several plasticity models describing such phenomenon have been
proposed, e.g. von Mises, Tresca, etc. Traditionally, the finite element method
(FEM) is the numerical tool of choice for engineers who are solving such
problems. In this work, however, we present the implementation of the von Mises
plasticity model with non-linear isotropic hardening in our in-house developed
MEDUSA library, utilizing a variant of meshless methods -- namely the radial
basis function-generated finite differences (RBF-FD). We define a simple plane
stress case, where a 2D block is fixed at one edge, and a tensile force, which
causes the block to deform, is applied to it at the opposite edge. We show that
results are in good agreement with the numerical solution obtained by Abaqus
FEA, a commercial FEM solver.
