69 citations · 92 across the 4 of their papers we have counts for
4 papers
Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening
Francois Ebobisse, Patrizio Neff, Elias C. Aifantis
We consider a dislocation-based rate-independent model of single crystal gradient plasticity with isotropic or linear kinematic hardening. The model is weakly formulated through th…
Stochastically forced dislocation density distribution in plastic deformation
Amit K. Chattopadhyay, Elias C. Aifantis
The dynamical evolution of dislocations in plastically deformed metals is controlled by both deterministic factors arising out of applied loads and stochastic effects appearing due…
Internal Length Gradient (ILG) Material Mechanics Across Scales & Disciplines
Elias C. Aifantis
A combined theoretical/numerical/experimental program is outlined for extending the ILG approach to consider time lags, stochasticity and multiphysics couplings. Through this exten…
Non-Standard Extensions of Gradient Elasticity: Fractional Non-Locality, Memory and Fractality
Vasily E. Tarasov, Elias C. Aifantis
Derivatives and integrals of non-integer order may have a wide application in describing complex properties of materials including long-term memory, non-locality of power-law type…