output
20092025
most citedThermodynamics-based Artificial Neural Networks for constitutive modeling

421 citations

Showing 2018Show all

5 papers · 1 filter

stat.ML2018★ 12 cited

Learning with tree-based tensor formats

Erwan Grelier, Anthony Nouy, Mathilde Chevreuil

This paper is concerned with the approximation of high-dimensional functions in a statistical learning setting, by empirical risk minimization over model classes of functions in tr…

physics.class-ph2018★ 9 cited

Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface

Alexios Aivaliotis, Ali Daouadji, Gabriele Barbagallo +3

In this paper we study the reflective properties of a 2D interface separating a homogeneous solid from a band-gap metamaterial by modeling it as an interface between a classical Ca…

physics.comp-ph2018★ 14 cited

Effective transient behaviour of heterogeneous media in diffusion problems with a large contrast in the phase diffusivities

Laurence Brassart, Laurent Stainier

This paper presents a homogenisation-based constitutive model to describe the effective tran- sient diffusion behaviour in heterogeneous media in which there is a large contrast be…

cs.CE2018★ 303 cited

Model-Free Data-Driven Inelasticity

Robert Eggersmann, Trenton Kirchdoerfer, Stefanie Reese +2

We extend the Data-Driven formulation of problems in elasticity of Kirchdoerfer and Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems in…

math.NA2018

Tensor-based numerical method for stochastic homogenisation

Quentin Ayoul-Guilmard, Anthony Nouy, Christophe Binetruy

This paper addresses the complexity reduction of stochastic homogenisation of a class of random materials for a stationary diffusion equation. A cost-efficient approximation of the…