Dislocation theory suggests that the plastic flow strength of a solid depends on strain
gradients in addition to strains. Hardening is due to the combined presence of geometrically …

There exist two frameworks of strain gradient plasticity theories to model size effects
observed at the micron and sub-micron scales in experiments. The first framework involves …

Improved algorithms are proposed for a gradient plasticity theory in which the Laplacian of
an invariant plastic strain measure enters the yield function. Particular attention is given to …

Gradient theories, as a regularized continuum mechanics approach, have found wide
applications for modeling strain localization failure process. This paper presents a second …

This paper develops a geometrically linear formulation of higher gradient plasticity of single
and polycrystalline material based on the continuum theory of dislocations and …

This paper presents a comprehensive numerical finite element implementation of the
nonlocal strain gradient theory applied to thin laminated composite nanoplates using …

It is a significant fact that the size of second-phase particles has an important effect on the
macroscopic plastic work hardening behavior of metals and their alloys or metal–matrix …

To avoid the well‐known drawbacks of the classical continuum damage theory when
localization occurs, an isotropic gradient‐enchanced damage model is proposed in which …

Gradient-enhanced damage and plasticity approaches are reviewed with regard to their
ability to model localization phenomena in quasi-brittle and frictional materials. Emphasis is …

The indentation size effect in spherical indentation experiments is studied via the
conventional theory of mechanism-based strain gradient plasticity (CMSG) established from …