Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Frankel, Ari"'
Many material response functions depend strongly on microstructure, such as inhomogeneities in phase or orientation. Homogenization presents the task of predicting the mean response of a sample of the microstructure to external loading for use in sub
Externí odkaz:
http://arxiv.org/abs/2210.00854
Predicting the evolution of a representative sample of a material with microstructure is a fundamental problem in homogenization. In this work we propose a graph convolutional neural network that utilizes the discretized representation of the initial
Externí odkaz:
http://arxiv.org/abs/2107.00090
We develop a framework for Gaussian processes regression constrained by boundary value problems. The framework may be applied to infer the solution of a well-posed boundary value problem with a known second-order differential operator and boundary co
Externí odkaz:
http://arxiv.org/abs/2012.11857
Publikováno v:
Journal of Machine Learning for Modeling and Computing, 1(2):119-156 (2020)
Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources. As part of a broader effort in scientific machine learning, many recent works have incorporated physical constraints or other a priori infor
Externí odkaz:
http://arxiv.org/abs/2006.09319
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 stress tensor as a function of the components of the Finger stretch t
Externí odkaz:
http://arxiv.org/abs/1912.10872
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 convolutional layers encoding correlations in time and space, we were able
Externí odkaz:
http://arxiv.org/abs/1910.03172
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 oligocrystals the differences in stress response due to microstructur
Externí odkaz:
http://arxiv.org/abs/1901.10669
Autor:
Frankel, Ari
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 arbitrary stochastic medium. Provided with a non-classical cross-section
Externí odkaz:
http://arxiv.org/abs/1901.05874
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 March 2022 391
Autor:
Wagman, Ellen B., Frankel, Ari L., Keedy, Ryan M., Brunini, Victor E., Kury, Matthew W., Houchens, Brent C., Scott, Sarah N.
Publikováno v:
In Fire Safety Journal July 2021 123