SUMMARYThis paper presents a gradient plasticity formulation developed in a strongly non-local format and applicable to ductile failure for ÿnite strain plasticity. The obtained formulation is an extension of a framework proposed by Simo (Computer Methods in Applied Mechanics and Engineering 1988; 66:199) into the softening and localization regime. The presented model inherits the well-established regularization properties of its strongly non-local enrichment and leads to an implicit computational scheme with a consistent tangent operator. Numerical examples are given which illustrate the strongly non-local character of the formulation, the in uence of the type of intrinsic length scale considered, as well as several topics on plastic failure initiation and evolution into the geometrically non-linear regime.

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