output
20202025
most citedFourier Neural Operator Surrogate Model to Predict 3D Seismic Waves Propagation

77 citations

30 papers

math.NA2025

Accelerating the Serviceability-Based Design of Reinforced Concrete Rail Bridges under Geometric Uncertainties induced by unforeseen events: A Surrogate Modeling approach

Mouhammed Achhab, Pierre Jehel, Fabrice Gatuingt

Reinforced concrete rail bridges are essential components of railway infrastructure, where reliability, durability, and adaptability are key design priorities. However, the design…

cs.LG2025

Fast 3D Diffusion for Scalable Granular Media Synthesis

Muhammad Moeeze Hassan, Régis Cottereau, Filippo Gatti +1

Discrete Element Method (DEM) simulations of granular media are computationally intensive, particularly during initialization phases dominated by large displacements and kinetic en…

cs.LG2025★ 1 cited

Breaking the Black Box: Inherently Interpretable Physics-Constrained Machine Learning With Weighted Mixed-Effects for Imbalanced Seismic Data

Vemula Sreenath, Filippo Gatti, Pierre Jehel

Ground motion models (GMMs) are critical for seismic risk mitigation and infrastructure design. Machine learning (ML) is increasingly applied to GMM development due to expanding st…

gr-qc2025

Relativistic second gradient theory of continuous media

Mina Chapon, Lionel Darondeau, Rodrigue Desmorat +2

Variational Relativity is a framework developed by Souriau in the sixties to better formulate General Relativity and its classical limit\,: Classical Continuum Mechanics. It has be…

physics.geo-ph2025★ 1 cited

Physics-based super-resolved simulation of 3D elastic wave propagation adopting scalable Diffusion Transformer

Hugo Gabrielidis, Filippo Gatti, Stéphane Vialle

In this study, we develop a Diffusion Transformer (referred as to DiT1D) for synthesizing realistic earthquake time histories. The DiT1D generates realistic broadband accelerograms…

cs.LG2025

Integrating Fourier Neural Operators with Diffusion Models to improve Spectral Representation of Synthetic Earthquake Ground Motion Response

Niccolò Perrone, Fanny Lehmann, Hugo Gabrielidis +2

Nuclear reactor buildings must be designed to withstand the dynamic load induced by strong ground motion earthquakes. For this reason, their structural behavior must be assessed in…

cs.CE2024

Training an AI hyperelastic constitutive model with experimental data

Clément Jailin, Antoine Benady, Emmanuel Baranger

A Physics-Augmented Neural network is trained to model a hyperelastic behavior. The dataset used for the training, validation, and test are displacement-force couples obtained from…

physics.med-ph2024★ 8 cited

Experimental Learning of a Hyperelastic Behavior with a Physics-Augmented Neural Network

Clément Jailin, Antoine Benady, Remi Legroux +1

The recent development of Physics-Augmented Neural Networks (PANN) opens new opportunities for modeling material behaviors. These approaches have demonstrated their efficiency when…

cond-mat.mtrl-sci2024★ 18 cited

In-situ localization of damage in a Zn-Al-Mg coating deposited on steel by continuous hot-dip galvanizing

Houssem Eddine Chaieb, Vincent Maurel, Kais Ammar +6

Zn-Al-Mg coatings are characterized by a complex microstructure with dendritic and eutectic phases. This heterogeneous phase distribution contributes to multiple deformation and da…

eess.SP2024

Transport Map Coupling Filter for State-Parameter Estimation

Jan Grashorn, Matteo Broggi, Ludovic Chamoin +1

Many dynamical systems are subjected to stochastic influences, such as random excitations, noise, and unmodeled behavior. Tracking the system's state and parameters based on a phys…

cs.LG2024★ 17 cited

Multiple-Input Fourier Neural Operator (MIFNO) for source-dependent 3D elastodynamics

Fanny Lehmann, Filippo Gatti, Didier Clouteau

Numerical simulations are essential tools to evaluate the solution of the wave equation in complex settings, such as three-dimensional (3D) domains with heterogeneous properties. H…

cond-mat.mtrl-sci2024★ 10 cited

Ferroelectric texture of individual barium titanate nanocrystals

Athulya Muraleedharan, Kevin Co, Maxime Vallet +8

Ferroelectric materials display exotic polarization textures at the nanoscale that could be used to improve the energetic efficiency of electronic components. The vast majority of…

cond-mat.soft2023★ 12 cited

Molecular dynamics simulation of the coalescence of surfactant-laden droplets

Soheil Arbabi, Piotr Deuar, Mateusz Denys +3

We investigate the coalescence of surfactant-laden water droplets by using several different surfactant types and a wide range of concentrations by means of a coarse-grained model…

math.DS2023★ 2 cited

Non-intrusive model combination for learning dynamical systems

Shiqi Wu, Ludovic Chamoin, Qianxiao Li

In data-driven modelling of complex dynamic processes, it is often desirable to combine different classes of models to enhance performance. Examples include coupled models of diffe…

physics.app-ph2023★ 27 cited

Heterogeneity in tribologically transformed structure (TTS) of Ti-6Al-4V under fretting

Vivien Lefranc, Soha Baydoun, Camille Gandiolle +4

Fretting wear is a surface degradation process caused by oscillatory motion and contact slipping. During gross slip, high local stresses and plastic deformation in the surface and…

math.NA2023★ 9 cited

A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit

Leon Maximilian Kolditz, Katrin Mang, Thomas Wick

In this work, we examine a numerical phase-field fracture framework in which the crack irreversibility constraint is treated with a primal-dual active set method and a linearizatio…

cs.LG2023★ 77 cited

Fourier Neural Operator Surrogate Model to Predict 3D Seismic Waves Propagation

Fanny Lehmann, Filippo Gatti, Michaël Bertin +1

With the recent rise of neural operators, scientific machine learning offers new solutions to quantify uncertainties associated with high-fidelity numerical simulations. Traditiona…

gr-qc2023★ 2 cited

Souriau's Relativistic general covariant formulation of hyperelasticity revisited

Boris Kolev, Rodrigue Desmorat

We present and modernize Souriau's 1958 geometric framework for Relativistic continuous media, and enlighten the necessary and the ad hoc modeling choices made since, focusing as m…

math.AG2023★ 1 cited

On the isotropy stratification of a real representation of a compact Lie group

Perla Azzi, Rodrigue Desmorat, Julien Grivaux +1

The aim of the present paper is to provide a comprehensive introduction to some algebraic and geometric aspects of real representations of compact Lie groups, as well as some resul…

physics.med-ph2022

Measure of the hygroscopic expansion of human dentin

Hakim Gharbi, Wang Wenlong, Chloé Giraudet +2

Background: Direct dental restoration implies a drying of the dentin substrate. This drying may induce significant strain in the dentin, affecting the bonding efficiency of the res…

cs.DC2022

Asynchronous scalable version of the Global-Local non-invasive coupling

Ahmed El Kerim, Pierre Gosselet, Frederic Magoules

The Global-Local non-invasive coupling is an improvement of the submodeling technique, which permits to locally enhance structure computations by introducing patches with refined m…

math.AG2022★ 2 cited

Distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method

Perla Azzi, Rodrigue Desmorat, Boris Kolev +1

We give a detailed description of a polynomial optimization method allowing to solve a problem in continuum mechanics: the determination of the elasticity or the piezoelectricity t…

physics.class-ph2022

Upper bounds estimates of the distance to cubic or orthotropic elasticity

Rodrigue Desmorat, Boris Kolev

We address the problem, not of the determination -- which usually needs numerical methods -- but of an accurate analytical estimation of the distance of a raw elasticity tensor to…

cs.CE2022★ 2 cited

Reduced polynomial invariant integrity basis for in-plane magneto-mechanical loading

Julien Taurines, Boris Kolev, Rodrigue Desmorat +1

The description of the behavior of a material subjected to multi-physics loadings requires the formulation of constitutive laws that usually derive from Gibbs free energies, using…