143 citations · 263 across the 3 of their papers we have counts for
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Hierarchical multiscale quantification of material uncertainty
Burigede Liu, Xingsheng Sun, Kaushik Bhattacharya +1
The macroscopic behavior of many materials is complex and the end result of mechanisms that operate across a broad range of disparate scales. An imperfect knowledge of material beh…
Large scale ab-initio simulations of dislocations
Mauricio Ponga, Kaushik Bhattacharya, Michael Ortiz
We present a novel methodology to compute relaxed dislocations core configurations, and their energies in crystalline metallic materials using large-scale \emph{ab-intio} simulatio…
A Line-free Method of Monopoles for 3D Dislocation Dynamics
A. Deffo, M. P. Ariza, M. Ortiz
We develop an approximation scheme for three-dimensional dislocation dynamics in which the dislocation line density is concentrated at points, or monopoles. Every monopole carries…