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The softening elastoplastic models present an unsuitable behavior after reachingthe yield strength: unbounded strain localization. Because of the materialinstability, which is reflected in the loss of ellipticity of the governing partialdifferential equations, the solution depends on the discretization. The present work proposes to solve this dependency using the meshless FinitePoints Method. This meshfree spatial discretization technique allows enrichingthe governing equations using gradient’s plasticity and introducing an internallength scale parameter at the material model in order to objectify the solution.

A Finite Points Method Approach for Strain Localization Using the Gradient Plasticity Formulation