160 citations · 171 across the 8 of their papers we have counts for
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physics.comp-ph2021★ 3 cited
A neural ordinary differential equation framework for modeling inelastic stress response via internal state variables
R. E. Jones, A. L. Frankel, K. L. Johnson
We propose a neural network framework to preclude the need to define or observe incompletely or inaccurately defined states of a material in order to describe its response. The neu…
physics.comp-ph2019★ 1 cited
Prediction of the evolution of the stress field of polycrystals undergoing elastic-plastic deformation with a hybrid neural network model
Ari Frankel, Kousuke Tachida, Reese Jones
Crystal plasticity theory is often employed to predict the mesoscopic states of polycrystalline metals, and is well-known to be costly to simulate. Using a neural network with conv…
physics.comp-ph2019★ 2 cited
Solution of the Generalized Linear Boltzmann Equation for Transport in Multidimensional Stochastic Media
Ari Frankel
The generalized linear Boltzmann equation (GLBE) is a recently developed framework based on non-classical transport theory for modeling the expected value of particle flux in an ar…