828 citations · 3.2k across the 31 of their papers we have counts for
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An Exactly Solvable Phase-Field Theory of Dislocation Dynamics, Strain Hardening and Hysteresis in Ductile Single Crystals
M. Koslowski, A. M. Cuitiño, M. Ortiz
An exactly solvable phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals is developed. The theory accounts for: an arbitrary numbe…
Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior
O. T. Nguyen, M. Ortiz
We present two approaches for coarse-graining interplanar potentials and determining the corresponding macroscopic cohesive laws based on energy relaxation and the renormalization…
A Multiscale Approach for Modeling Crystalline Solids
A. M. Cuitino, L. Stainier, G. Wang +4
In this paper we present a modeling approach to bridge the atomistic with macroscopic scales in crystalline materials. The methodology combines identification and modeling of the c…
An Analysis of the Quasicontinuum Method
J. Knap, M. Ortiz
The aim of this paper is to present a streamlined and fully three-dimensional version of the quasicontinuum (QC) theory of Tadmor et al. and to analyze its accuracy and convergence…