Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold
This paper introduces a surrogate modeling scheme based on Grassmannian manifold
learning to be used for cost-efficient predictions of high-dimensional stochastic systems. The …
learning to be used for cost-efficient predictions of high-dimensional stochastic systems. The …
Manifold learning for coarse-graining atomistic simulations: Application to amorphous solids
We introduce a generalized machine learning framework to probabilistically parameterize
upper-scale models in the form of nonlinear PDEs consistent with a continuum theory, based …
upper-scale models in the form of nonlinear PDEs consistent with a continuum theory, based …
Grassmannian diffusion maps based surrogate modeling via geometric harmonics
A novel surrogate model based on the Grassmannian diffusion maps (GDMaps) and utilizing
geometric harmonics (GH) is developed for predicting the response of complex physical …
geometric harmonics (GH) is developed for predicting the response of complex physical …
Three-dimensional thermo-mechanical simulations of heterogeneous solid propellants
In this work, we present a numerical framework that describes thermo-mechanical
deformations in a burning heterogeneous solid propellant. These deformations are quasi …
deformations in a burning heterogeneous solid propellant. These deformations are quasi …
Numerical methods and improvements for simulating quasi-static elastoplastic materials
Hypo-elastoplasticity is a framework suitable for modeling the mechanics of many hard
materials that have small elastic deformation and large plastic deformation. In most …
materials that have small elastic deformation and large plastic deformation. In most …
Numerical Methods and Analysis Tools for Material Mechanics Across Scales
J Lu - 2024 - search.proquest.com
A material's structures at different lengthscales profoundly impact the material's properties
and performance. Therefore, it is necessary to investigate material mechanics across scales …
and performance. Therefore, it is necessary to investigate material mechanics across scales …
[PDF][PDF] Numerical methods and improvements for simulating quasi-static hypo-elastoplastic materials
J Lua, CH Rycroftb - people.math.wisc.edu
Hypo-elastoplasticity is a framework suitable for modeling the mechanics of many hard
materials that have small elastic deformation and large plastic deformation. In most …
materials that have small elastic deformation and large plastic deformation. In most …
Coordinate transformation methodology for simulating quasistatic elastoplastic solids
Molecular dynamics simulations frequently employ periodic boundary conditions where the
positions of the periodic images are manipulated in order to apply deformation to the …
positions of the periodic images are manipulated in order to apply deformation to the …
[CITATION][C] Parallel three-dimensional simulations of quasi-static elastoplastic
NM Boffi, CH Rycroft - 2019