13 citations · 53 across the 11 of their papers we have counts for
3 papers · 1 filter
Nonlocal Electrostatics and Boundary Charges in Continuum Limits of Two-Dimensional Materials
Shoham Sen, Yang Wang, Timothy Breitzman +1
Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from…
Multiband homogenization of metamaterials in real-space: Higher-order nonlocal models and scattering at external surfaces
Kshiteej Deshmukh, Timothy Breitzman, Kaushik Dayal
This work develops a dynamic homogenization approach for metamaterials. It finds an approximate macroscopic homogenized equation with constant coefficients posed in space and time;…
Phase-Field Modeling and Peridynamics for Defect Dynamics, and an Augmented Phase-Field Model with Viscous Stresses
Janel Chua, Vaibhav Agrawal, Timothy Breitzman +2
This work begins by applying peridynamics and phase-field modeling to predict 1-d interface motion with inertia in an elastic solid with a non-monotone stress-strain response. In c…