Multiscale models of materials, consisting of upscaling discrete simulations to continuum
models, are unique in their capability to simulate complex materials behavior. The …

Since the mid 80s various gradient plasticity models have been developed for obtaining the
plastic response of materials at the micron-and submicron-scales. In particular, gradient …

Recent studies of micro-and nano-scale metallic structures have exposed considerable
statistical distribution, in addition to significant size dependencies, in the yield strength. This …

Two fundamental approximations in macroscale solid-mechanics modeling are (1) the
assumption of scale separation in homogenization theory and (2) the use of a macroscopic …

A framework for investigating size-dependent small-scale plasticity phenomena and related
material instabilities at various length scales ranging from the nano-microscale to the …

Plastic deformation of micro-and nanoscale samples differs from macroscopic plasticity in
two respects:(i) the flow stress of small samples depends on their size, and (ii) the scatter of …

Mechanical behavior for crystals at submicron-to-nanometer scales shows many atypical
plastic phenomena. In this paper, a new hybrid multiscale simulation method named DD …

We present a multi-surface model (MSM) of plasticity to simulate the anisotropic and
asymmetric yield responses often observed in hexagonal close-packed (HCP) materials …

The enhanced gradient plasticity theories formulate a constitutive framework on the
continuum level that is used to bridge the gap between the micromechanical plasticity and …

The mechanical behaviour of polycrystalline material is closely correlated to grain size. In
this study, we investigate the size-dependent phenomenon in multi-phase steels using a …