output
20142024
most citedPolyconvex anisotropic hyperelasticity with neural networks

238 citations

9 papers

cond-mat.mtrl-sci2024★ 16 cited

A Spectral-based Physics-informed Finite Operator Learning for Prediction of Mechanical Behavior of Microstructures

Ali Harandi, Hooman Danesh, Kevin Linka +2

A novel physics-informed operator learning technique based on spectral methods is introduced to model the complex behavior of heterogeneous materials. The Lippmann-Schwinger operat…

cs.LG2024★ 38 cited

A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains

Yusuke Yamazaki, Ali Harandi, Mayu Muramatsu +5

We propose a novel finite element-based physics-informed operator learning framework that allows for predicting spatiotemporal dynamics governed by partial differential equations (…

physics.comp-ph2021★ 5 cited

Geometry of triple junctions during grain boundary premelting

M. Torabi Rad, G. Boussinot, M. Apel

Grain Boundaries (GB) whose energy is larger than twice the energy of the solid/liquid interface exhibit the premelting phenomenon, for which an atomically thin liquid layer develo…

cond-mat.mtrl-sci2021★ 238 cited

Polyconvex anisotropic hyperelasticity with neural networks

Dominik K. Klein, Mauricio Fernández, Robert J. Martin +2

In the present work, two machine learning based constitutive models for finite deformations are proposed. Using input convex neural networks, the models are hyperelastic, anisotrop…

physics.comp-ph2020★ 11 cited

Comparing mesoscopic models for dendritic growth

Damien Tourret, Laszlo Sturz, Alexandre Viardin +1

We present a quantitative benchmark of multiscale models for dendritic growth simulations. We focus on approaches based on phase-field, dendritic needle network, and grain envelope…

physics.app-ph2019★ 1 cited

Theory-training deep neural networks for an alloy solidification benchmark problem

M. Torabi Rad, A. Viardin, G. J. Schmitz +1

Deep neural networks are machine learning tools that are transforming fields ranging from speech recognition to computational medicine. In this study, we extend their application t…