Elasticity and Elasto-Plasticity 2D Problems Addressed Via a Novel Finite Particle Formulation

Abstract eng:
Particle methods are among the most studied meshless approaches, with applications ranging from solid mechanics to fluid-dynamics and thermo-dynamics. The objective of employing these methods is to avoid the introduction of a mesh for the continuum, preferring a particle discretization, with the goal of obtaining an easier treatment of large and rapid displacements. Thus, meshless methods have been widely applied, mainly to fluid dynamics problems, where particle approaches appear to be more feasible. The objective of the present paper is to present an original formulation moving from finite Particle Method (FPM) [1], using simple polynomial functions as particle kernel functions. The effectiveness of the numerical method is verified in different tests, addressing elasticity and implicit elastoplasticity 2D problems. The convergence order in such cases is also considered, comparing the results with those obtained using classical FEM formulations.

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