In the design and development of novel materials that have excellent mechanical properties,
classification and regression methods have been diversely used across mechanical …

Crystal plasticity is mediated through dislocations, which form knotted configurations in a
complex energy landscape. Once they disentangle and move, they may also be impeded by …

We present a continuum dislocation dynamics model that predicts the formation of
dislocation cell structure in single crystals at low strains. The model features a set of kinetic …

We give a bird's-eye view of the plastic deformation of crystals aimed at the statistical
physics community, as well as a broad introduction to the statistical theories of forced rigid …

We describe a model based on continuum mechanics that reduces the study of a significant
class of problems of discrete dislocation dynamics to questions of the modern theory of …

Understanding the spontaneous emergence of dislocation patterns during plastic
deformation is a long standing challenge in dislocation theory. During the past decades …

The spontaneous emergence of heterogeneous dislocation patterns is a conspicuous
feature of plastic deformation and strain hardening of crystalline solids. Despite long …

We show that nonlinear continuum elasticity can be effective in modeling plastic flows in
crystals if it is viewed as a Landau theory with an infinite number of equivalent energy wells …

Discrete dislocation dynamics simulations were performed to investigate the dislocation
microstructure evolution and cyclic hardening during the early stages of fatigue loading in …

Abstract The Continuum Dislocation Dynamics (CDD) theory and the Discrete Dislocation
Dynamics (DDD) method are compared based on concise mathematical formulations of the …