184 citations · 506 across the 39 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
cond-mat.mtrl-sci2005★ 84 cited
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II
Anish Roy, Amit Acharya
In Part I of this set of two papers, a model of mesoscopic plasticity is developed for studying initial-boundary value problems of small scale plasticity. Here we make qualitative,…
cond-mat.mtrl-sci2005★ 184 cited
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I
Amit Acharya, Anish Roy
A Phenomenological Mesoscopic Field Dislocation Mechanics (PMFDM) model is developed, extending continuum plasticity theory for studying initial-boundary value problems of small-sc…
math.NA2005★ 22 cited
On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type
Amit Acharya, Aarti Sawant
A non-perturbative approach to the time-averaging of nonlinear, autonomous ODE systems is developed based on invariant manifold methodology. The method is implemented computational…