Abstract

The main advantage of using the finite element method (FEM) for the strain gradient plasticity theory over other methodologies such as molecular dynamics and discrete dislocation dynamics is its straightforwardness in simulations on realistic structure/scale/time and flexibility in the continuum-based framework. Over the last three decades, numerous numerical investigations have been made to reproduce the microstructural material characteristics of the plastic deformation using the FEM qualitatively. This chapter explores various numerical applications of the strain gradient plasticity including size effects, shear bands, damage, fracture, surface contact, grain boundary, impact; necking, etc.

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