Pierre Kerfriden

Professor

Keywords

Team

SIMS - Simulation des Matériaux et des Structures

Biography

Pierre Kerfriden is a researcher specializing in numerical modeling and materials mechanics, with particular expertise in the analysis of multiscale and stochastic phenomena. His work focuses in particular on the development of advanced methods for simulating mechanical and hydraulic behavior in heterogeneous media, such as soils or composite materials. He has contributed to the development of stochastic models incorporating Gaussian random fields to represent the spatial variability of material properties, as well as to innovative approaches for local plastic correction and the acceleration of finite element simulations. His research also includes the application of machine learning techniques, such as convolutional neural networks and Gaussian processes, to optimize industrial processes or improve the prediction of stress fields in porous structures. Pierre Kerfriden is also exploring hybrid methods that combine physics and data to enhance the robustness and efficiency of numerical simulations, while incorporating the uncertainties and variabilities inherent in the systems under study.

Publication(s)

2026
A Probabilistic Cut Finite Element Method With Random Field Generator and Bayesian Model Calibration for Flow Through Rough Cracks DOI : 10.1002/nag.70104
2026
Stochastic simulation of three-dimensional unsaturated flow in water repellent heterogeneous soil DOI : 10.1016/j.compgeo.2026.107938
2025
A plastic correction algorithm for full-field elasto-plastic finite element simulations: critical assessment of predictive capabilities and improvement by machine learning DOI : 10.1007/s00466-024-02561-6
2025
AI-accelerated digital twinning for the online PDE-based control of ISBM processes with recycled PET DOI : 10.1007/s12289-025-01948-x
2025
A time-discontinuous elasto-plasticity formalism to simulate instantaneous plastic flow bursts DOI : 10.1016/j.ijsolstr.2024.113171
2025
A Bayesian extension to FEMU for identification of spatially varying stochastic elastic properties from digital image and volume correlation measurements DOI : 10.1016/j.jcp.2025.113946
2025
Effects of Interpolation Error and Bias on the Random Mesh Finite Element Method for Inverse Problems
2024
A Bayesian approach to modeling finite element discretization error DOI : 10.1007/s11222-024-10463-z
2024
Surrogate modeling by multifidelity cokriging for the ductile failure of random microstructures DOI : 10.1007/s00466-023-02430-8
2024
The Influence of Spatially Varying Boundary Conditions Based on Material Heterogeneity DOI : 10.13052/ejcm2642-2085.3331
2024
Intelligent control of ISBM process for recycled PET bottles DOI : 10.21741/9781644903131-201
2024
A graph-based probabilistic geometric deep learning framework with online enforcement of physical constraints to predict the criticality of defects in porous materials DOI : 10.1016/j.ijsolstr.2023.112545
2023
Near-boundary error reduction with an optimized weighted Dirichlet–Neumann boundary condition for stochastic PDE-based Gaussian random field generators DOI : 10.1007/s00366-023-01819-6
2023
NURBS-based surface generation from 3D images: Spectral construction and data-driven model selection DOI : 10.1093/jcde/qwad082
2023
Physically recurrent neural networks for path-dependent heterogeneous materials: Embedding constitutive models in a data-driven surrogate DOI : 10.1016/j.cma.2023.115934
2023
Machine learning of evolving physics-based material models for multiscale solid mechanics DOI : 10.1016/j.mechmat.2023.104707
2023
Model-based simulations of pulsed laser ablation using an embedded finite element method DOI : 10.1016/j.ijheatmasstransfer.2022.123843
2023
A Statistical Finite Element Method Integrating a Plurigaussian Random Field Generator for Multi-scale Modelling of Solute Transport in Concrete DOI : 10.1007/s11242-023-01930-8
2023
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains DOI : 10.1016/j.apm.2022.09.030
2023
Representation of three-dimensional unsaturated flow in heterogeneous soil through tractable Gaussian random fields DOI : 10.1680/jgeot.22.00316
2022
A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features DOI : 10.1007/s00466-021-02112-3
2022
Adaptive Isogeometric analysis for transient dynamics: Space–time refinement based on hierarchical a-posteriori error estimations DOI : 10.1016/j.cma.2022.114774
2022
A probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: Application to sub-modeling DOI : 10.1002/nme.7090
2022
Addressing materials’ microstructure diversity using transfer learning DOI : 10.1038/s41524-022-00703-z
2022
Concurrent multiscale analysis without meshing: Microscale representation with CutFEM and micro/macro model blending DOI : 10.1016/j.cma.2022.114807
2022
Strain localization analysis in materials containing randomly distributed voids: Competition between extension and shear failure modes DOI : 10.1016/j.jmps.2022.104933
2021
Contact modeling from images using cut finite element solvers DOI : 10.1186/s40323-021-00197-2
2021
Ductile fracture of materials with randomly distributed voids DOI : 10.1007/s10704-021-00562-7
2021
Goal oriented error estimation in multi-scale shell element finite element problems DOI : 10.1186/s40323-021-00189-2
2021
Real-time data assimilation in welding operations using thermal imaging and accelerated high-fidelity digital twinning DOI : 10.3390/math9182263
2021
DIGITAL TWINNING TO PREDICT THE RESIDUAL LIFE OF COMPOSITE PRESSURE VESSELS - COMPLAS 2021
2021
Automatised quality assessment in additive layer manufacturing using layer-by-layer surface measurements and deep learning DOI : 10.1016/j.procir.2021.03.050
2021
On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning DOI : 10.1016/j.jcpx.2020.100083
2020
A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites DOI : 10.1186/s40323-020-00154-5
2020
Micromechanics-based surrogate models for the response of composites: A critical comparison between a classical mesoscale constitutive model, hyper-reduction and neural networks DOI : 10.1016/j.euromechsol.2020.103995
2020
Machine Learning-based reverse modeling approach for rapid tool shape optimization in die-sinking micro electro discharge machining DOI : 10.1115/1.4045956
2020
Machine Learning-enabled feedback loops for metal powder bed fusion additive manufacturing DOI : 10.1016/j.procs.2020.09.314
2020
Goal-oriented model adaptivity in stochastic elastodynamics: Simultaneous control of discretization, surrogate model and sampling errors DOI : 10.1615/Int.J.UncertaintyQuantification.2020031735
2019
Adaptivity in Bayesian inverse finite element problems: Learning and simultaneous control of discretisation and sampling errors DOI : 10.3390/ma12040642
2019
A CutFEM method for two-phase flow problems DOI : 10.1016/j.cma.2019.01.009
2018
Adaptive Isogeometric analysis for plate vibrations: An efficient approach of local refinement based on hierarchical a posteriori error estimation DOI : 10.1016/j.cma.2018.08.010
2018
A stable and optimally convergent LaTIn-CutFEM algorithm for multiple unilateral contact problems DOI : 10.1002/nme.5694
2018
On the effect of grains interface parameters on the macroscopic properties of polycrystalline materials DOI : 10.1016/j.compstruc.2017.09.005
2018
CAD model simplification error estimation for electrostatics problems DOI : 10.1137/16M1078641
2018
Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications DOI : 10.1016/j.engfracmech.2017.08.004
2018
Minimum energy multiple crack propagation. Part-II: Discrete solution with XFEM DOI : 10.1016/j.engfracmech.2017.07.029
2018
Cutfem method for Stefan-Signorini problems with application in pulsed laser ablation DOI : 10.1137/18M1185697
2018
Minimum energy multiple crack propagation. Part I: Theory and state of the art review DOI : 10.1016/j.engfracmech.2017.07.028
2017
Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth DOI : 10.1016/j.cma.2016.05.038
2017
Strain smoothing for compressible and nearly-incompressible finite elasticity DOI : 10.1016/j.compstruc.2016.05.004
2017
Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment DOI : 10.1007/s10704-016-0153-3
2017
Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines DOI : 10.1016/j.cma.2016.11.012
2017
Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales DOI : 10.1002/nme.5348
2016
A fast, certified and "tuning free" two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems DOI : 10.1016/j.cma.2015.08.016
2016
Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity DOI : 10.1002/nme.5149
2016
Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization DOI : 10.1007/s00466-016-1290-2
2015
Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method DOI : 10.1016/j.compstruc.2015.01.015
2015
Probabilistic multiconstraints optimization of cooling channels in ceramic matrix composites DOI : 10.1016/j.compositesb.2015.06.023
2015
Rotational and ply-level uncertainty in response of composite shallow conical shells DOI : 10.1016/j.compstruct.2015.06.011
2015
Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients DOI : 10.1016/j.compstruct.2014.10.005
2015
Scale selection in nonlinear fracture mechanics of heterogeneous materials DOI : 10.1080/14786435.2015.1061716
2015
An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems DOI : 10.1002/num.21932
2014
POD-based model order reduction for the simulation of strong nonlinear evolutions in structures: Application to damage propagation DOI : 10.1088/1757-899X/10/1/012165
2014
Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis DOI : 10.1016/j.compositesb.2013.12.018
2014
Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error DOI : 10.1002/nme.4588
2014
Stochastic modelling of clay/epoxy nanocomposites DOI : 10.1016/j.compstruct.2014.07.009
2014
Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation DOI : 10.1016/j.cma.2014.06.018
2014
Investigation of crossing and veering phenomena in an isogeometric analysis framework DOI : 10.1007/978-3-319-04774-4_34
2014
Nitsche's method for two and three dimensional NURBS patch coupling DOI : 10.1007/s00466-013-0955-3
2014
Real-time simulation of contact and cutting of heterogeneous soft-tissues DOI : 10.1016/j.media.2013.11.001
2014
Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm DOI : 10.1016/j.cad.2014.05.004
2014
A computational library for multiscale modeling of material failure DOI : 10.1007/s00466-013-0948-2
2014
Numerical analysis of the inclusion-crack interaction by the extended finite element method DOI : 10.1080/15502287.2013.833999
2014
Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery DOI : 10.1007/s00466-013-0942-8
2013
A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics DOI : 10.1016/j.cma.2012.12.004
2013
Cutting in real time in corotational elasticity and perspectives on simulating cuts DOI : 10.1007/978-1-4614-6351-1_1
2013
Statistical extraction of process zones and representative subspaces in fracture of random composites DOI : 10.1615/IntJMultCompEng.2013005939
2013
Molecular dynamics/xfem coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture DOI : 10.1615/IntJMultCompEng.2013005838
2013
Explicit expressions of dual loads for accurate error estimation and bounding in goal oriented adaptivity
2012
Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth DOI : 10.1016/j.cma.2011.08.013
2012
On the role of enrichment and statistical admissibility of recovered fields in a posteriori error estimation for enriched finite element methods DOI : 10.1108/02644401211271609
2012
Virtual delamination testing through non-linear multi-scale computational methods: Some recent progress
2012
Error estimation and error bounding in quantities of interest based on equilibrated recovered displacement fields
2012
Local/global model order reduction strategy for the simulation of quasi-brittle fracture DOI : 10.1002/nme.3234
2012
Equilibrated patch recovery for accurate evaluation of upper error bounds in quantities of interest
2011
Natural frequencies of cracked functionally graded material plates by the extended finite element method DOI : 10.1016/j.compstruct.2011.04.007
2011
Linear free flexural vibration of cracked functionally graded plates in thermal environment DOI : 10.1016/j.compstruc.2011.04.002
2011
On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM) DOI : 10.1002/nme.3156
2011
A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis
2011
Linear buckling analysis of cracked plates by SFEM and XFEM DOI : 10.2140/jomms.2011.6.1213
2011
An Algorithm to compute damage from load in composites DOI : 10.1007/s11709-011-0107-9
2011
Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems DOI : 10.1016/j.cma.2010.10.009
2010
On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework DOI : 10.1002/nme.2884
2010
A relocalization technique for the multiscale computation of delamination in composite structures
2009
A micro/macro domain decomposition strategy with structural preconditionner for the 3D analysis of debonding in laminates
2009
A three-scale domain decomposition method for the 3D analysis of debonding in laminates DOI : 10.1007/s00466-009-0378-3
2007
Recent developments of a multiscale strategy for crack propagation and delamination

Teaching

Mechanics of Materials and Structures (PI MECAERO)

Lecturer

Experimental Mechanics

Guest Lecturer

The course has two main objectives. Drawing on examples from industry, the course first aims to help students understand the challenges involved in a mechanical testing campaign and to equip them with the tools needed to design experimental plans for the mechanical characterization of materials. With this in mind, the course will begin with a description of standardized tests to highlight their limitations, followed by a presentation of original or “non-standard” tests that are as well-instrumented as possible. To this end, part of the course will be devoted to the study of non-contact thermomechanical measurement techniques (infrared thermography and digital image correlation). In a second phase, the focus will be on establishing the link between continuum mechanics, thermomechanical behavior equations, and experimental characterization. The concepts of stress and strain analysis will be reviewed to understand the methods for optimizing behavior and damage mechanisms, which we aim to identify through the tests. The in-person component (29 hours) is structured into plenary sessions (12 hours), mini-projects (in pairs or groups of three) (15 hours), and project presentations before a panel (30 minutes). Students’ independent work (6 hours) includes: Understanding the mini-project, literature review, scientific analysis and interpretation of the results obtained, writing a summary, and preparing an oral presentation

PhD supervision

2025 Identification of material models up to failure using stochastic and multi-parametric approaches MARTELLI Anthony
2025 Data-driven learning of an electric vehicle battery aging model HOLLER Colin
2025 Generative artificial intelligence models for metallic alloy microstructures COURTOIS Martin
2023 Modeling and AI methods to estimate and predict the health states of electric vehicle batteries. VU Germain
2023 Digital twinning for real-time monitoring of the health status of composite structures monitored by acoustic emissions CHEHAZI Marwa
2022 Thermomechanical behavior of refractory concretes subjected to severe upward thermal shocks GUERZIZ Arij
2022 Shape optimization using the level-set cutFEM method and application to the design of mechanical characterization specimens EL BACHARI Amina
2021 Discover the constitutive law of nonlinear viscoelastic material using physics-informed neural networks and experimental data PISTENON Nicolas
2021 A multi-scale probabilistic methodology to predict the fatigue life of porous alloys from tomographic images PALCHOUDHARY Abhishek
2021 Advanced numerical simulation for understanding low points in the resilience of forged steels NGOUADJE KENKO Régis Emmanuel
2021 Data-driven numerical simulations for controlling the mechanical properties of DLF composites TOUMINET Armand
2019 Multi-scale digital twin and data assimilation for predicting damage in composite pressure vessels KLEBI Nesrine
2019 Thermo-mechanical simulation of the Wire Arc Additive Manufacturing (WAAM) process HILAL Sami
2019 Real-time prediction of mechanical stresses in welding using a metamodel library PEREIRA ALVAREZ Pablo
2019 Ductile failure of a random porous medium: Numerical approach and application to weld defects CADET Clément
2019 Geometric complex simplification based on data PERNEY Antoine