On certain problems of deformation-induced material instabilities

Filtration model of plastic flow

“…In this article, emphasis has been placed mainly on Russian literature on the topic as this is not well known in the West. It is noted, in thin connection, that excessive literature on this topic of considering a generalized continuum medium as a superposition of "normal" and "excited" states was advanced by the last author and his coworkers in a series of publication [21][22][23][24][25][26][27][28][29][30][31][32].…”

Surface effects at the nanoscale based on Gurtin’s theory: a review

“…The Laplacian emerges by expanding the integral expression, for average quantifies in a Taylor series involving spatial derivatives of the corresponding local quantifies and retaining the first few terms as desired. Several problems were resolved by this theory, including the prediction of shear bandwidths and spacings, as well as the elimination of elastic singularities from dislocation lines and crack tips [18][19][20][21][22][23][24][25][26][27][28][29][30]. Another type of strain gradient plasticity theory was developed by Fleck/Hutchinson and co-workers based on the concept of geometrically necessary dislocations (e.g., [31,32] and references quoted therein).…”