160 citations · 171 across the 8 of their papers we have counts for
4 papers · 1 filter
Tensor Basis Gaussian Process Models of Hyperelastic Materials
Ari Frankel, Reese Jones, Laura Swiler
In this work, we develop Gaussian process regression (GPR) models of hyperelastic material behavior. First, we consider the direct approach of modeling the components of the Cauchy…
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…
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…
Predicting the mechanical response of oligocrystals with deep learning
Ari L. Frankel, Reese E. Jones, Coleman Alleman +1
In this work we employ data-driven homogenization approaches to predict the particular mechanical evolution of polycrystalline aggregates with tens of individual crystals. In these…