Mechanics of Materials and Artifical Intelligence

A research blog about Computational Mechanics, Probabilistic Numerics & Machine Learning
đŸ“„ pierre.kerfriden at minesparis.psl.eu

📄 About 📄 Contact 📄 Teaching 📄 Jobs offers 📄 Blog

Google scholar

Google Scholar Profile

Journal articles

  1. A Touminet, S Cantournet, V Fabre, P Kerfriden, A Bayesian extension to FEMU for Identification of spatially varying stochastic elastic properties from digital image and volume correlation measurements, Journal of Computational Physics, 2025

  2. M Lamari, P Kerfriden, OU Salman, V Yastrebov, K Ammar, S Forest, A time-discontinuous elasto-plasticity formalism to simulate instantaneous plastic flow bursts, International Journal of Solids and Structures, 2025

  3. A Palchoudhary, S Peter, V Maurel, C Ovalle, P Kerfriden, A plastic correction algorithm for full-field elasto-plastic finite element simulations: critical assessment of predictive capabilities and improvement by machine learning, Computational Mechanics, 2024

  4. A Poot, P Kerfriden, I Rocha, F van der Meer, A Bayesian approach to modeling finite element discretization error, Statistics and Computing 34, 2024

  5. EJ Ricketts, PJ Cleall, A Jefferson, P Kerfriden, P Lyons, The influence of spatially varying boundary conditions based on material heterogeneity, European Journal of Computational Mechanics, 2024

  6. C Cadet, S Flouriot, S Forest, P Kerfriden, V de Rancourt, Surrogate modeling by multifidelity cokriging for the ductile failure of random microstructures, Computational Mechanics, 2024

  7. V Krokos, SPA Bordas, P Kerfriden, A graph-based probabilistic geometric deep learning framework with online enforcement of physical constraints to predict the criticality of defects in porous materials, International Journal of Solids and Structures, 2024

  8. EJ Ricketts, PJ Cleall, T Jefferson, P Kerfriden, P Lyons, Near-boundary error reduction with an optimized weighted Dirichlet–Neumann boundary condition for stochastic PDE-based Gaussian random field generators, Engineering with Computers, 2023

  9. I Rocha, P Kerfriden, FP van der Meer, Machine learning of evolving physics-based material models for multiscale solid mechanics, Mechanics of Materials, 2023

  10. EJ Ricketts, PJ Cleall, A Jefferson, P Kerfriden, P Lyons, Representation of three-dimensional unsaturated flow in heterogeneous soil through tractable Gaussian random fields, GĂ©otechnique, 2023

  11. A Perney, S Bordas, P Kerfriden, NURBS-based surface generation from 3D images: spectral construction and data-driven model selection, Journal of Computational Design and Engineering, 2023

  12. EJ Ricketts, BL Freeman, PJ Cleall, A Jefferson, P Kerfriden, A statistical finite element method integrating a plurigaussian random field generator for multi-scale modelling of solute transport in concrete, Transport in Porous Media, 2023

  13. Y Liu, S Claus, P Kerfriden, J Chen, P Zhong, JE Dolbow, Model-based simulations of pulsed laser ablation using an embedded finite element method, International Journal of Heat and Mass Transfer, 2023

  14. L Chen, H Lian, Y Xu, S Li, Z Liu, E Atroshchenko, P Kerfriden, Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains, Applied Mathematical Modelling, 2023

  15. MA Maia, IBCM Rocha, P Kerfriden, FP van der Meer, Physically recurrent neural networks for path-dependent heterogeneous materials: Embedding constitutive models in a data-driven surrogate, Computer Methods in Applied Mechanics and Engineering, 2023

  16. JP Rouse, P Kerfriden, M Hamadi, A probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: application to sub-modelling, International Journal for Numerical Methods in Engineering, 2022

  17. C Cadet, J Besson, S Flouriot, S Forest, P Kerfriden, L Lacourt, Victor de Rancourt, Strain localization analysis in materials containing randomly distributed voids: Competition between extension and shear failure modes, Journal of the Mechanics and Physics of Solids, 2022

  18. P Yu, SPA Bordas, P Kerfriden, Adaptive Isogeometric analysis for transient dynamics: Space–time refinement based on hierarchical a-posteriori error estimations, Computer Methods in Applied Mechanics and Engineering 394, 2022

  19. V Krokos, V Bui Xuan, S Bordas, P Young, P Kerfriden, Bayesian Convolutional Neural Networks as probabilistic surrogates for the fast prediction of stress fields in structures with microscale features, Computational Mechanics 69, 2021

  20. A Goetz, AR Durmaz, M MĂŒller, A Thomas, D Britz, P Kerfriden, C Eberl, Addressing materials’ microstructure diversity using transfer learning, npj Computational Materials 8 (1), 1-13, 2022

  21. P Pereira Álvarez, P Kerfriden, D Ryckelynck, V Robin, Real-Time Data Assimilation in Welding Operations Using Thermal Imaging and Accelerated High-Fidelity Digital Twinning, Mathematics 9 (18), 2263, 2021

  22. MS Bonney, R Evans, J Rouse, A Jones, P Kerfriden, M Hamadi, Goal oriented error estimation in multi-scale shell element finite element problems, Advanced Modeling and Simulation in Engineering Sciences 8 (1), 1-31, 2021

  23. C Cadet, J Besson, S Flouriot, S Forest, P Kerfriden, V de Rancourt, Ductile fracture of materials with randomly distributed voids, International Journal of Fracture, 1-31, 2021

  24. I Rocha, P Kerfriden, FP van der Meer, On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning, Journal of Computational Physics: X 9, 2021

  25. V Krokos, V Bui Xuan, S Bordas, P Young, P Kerfriden, Bayesian Convolutional Neural Networks as probabilistic surrogates for the fast prediction of stress fields in structures with microscale features, 2021

  26. S Claus, P Kerfriden, F Moshfeghifar, S Darkner, K Erleben, C Wong, Contact modeling from images using cut finite element solvers, Advanced Modeling and Simulation in Engineering Sciences, 2020

  27. P Kerfriden, S Claus, I Mihai, A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites, Advanced Modeling and Simulation in Engineering Sciences 7, 2020

  28. P Bonilla-Villalba, S Claus, A Kundu, P Kerfriden, Goal-oriented model adaptivity in stochastic elastodynamics: simultaneous control of discretisation, surrogate model and sampling errors, International Journal for Uncertainty Quantification 10 (3), 195-223, 2020

  29. IBCM Rocha, P Kerfriden, FP van der Meer, Micromechanics-based surrogate models for the response of composites: A critical comparison between a classical mesoscale constitutive model, hyper-reduction and neural networks, European Journal of Mechanics - A/Solids 82, 2020

  30. A Surleraux, R Lepert, JP Pernot, P Kerfriden, S Bigot, Machine Learning-Based Reverse Modeling Approach for Rapid Tool Shape Optimization in Die-Sinking Micro Electro Discharge Machining, Journal of Computing and Information Science in Engineering 20 (3), 2020

  31. P. Kerfriden, A. Kundu, S. Claus, Adaptivity in Bayesian Inverse Finite Element Problems: Learning and Simultaneous Control of Discretisation and Sampling Errors, Materials 12(4), 642, 2019

  32. S. Claus, P. Kerfriden, A CutFEM method for two-phase flow problems, Computer Methods in Applied Mechanics and Engineering 348, 185-206, 2019

  33. S. Claus, S. Bigot, P. Kerfriden, A CutFEM method for Stefan-Signorini problems with application in pulsed laser ablation. SIAM Journal on Scientific Computing 40(5), B1444-B1469, 2018

  34. P. Yu, C. Anitescu, S. Tomar, S.P.A. Bordas, P. Kerfriden, Adaptive Isogeometric analysis for plate vibrations: An efficient approach of local refinement based on hierarchical a posteriori error estimation, Computer Methods in Applied Mechanics and Engineering 342, 251-286, 2018

  35. D. Sutula, P. Kerfriden, T. van Dam, S.P.A. Bordas, Minimum energy multiple crack propagation. Part I: Theory and state of the art review, Engineering Fracture Mechanics 191, 205-224, 2018

  36. D. Sutula, P. Kerfriden, T. van Dam, S.P.A. Bordas, Minimum energy multiple crack propagation. Part II: Discrete Solution with XFEM, Engineering Fracture Mechanics 191, 225-256, 2018

  37. D. Sutula, P. Kerfriden, T. van Dam, S.P.A. Bordas, Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications, Engineering Fracture Mechanics 191, 257-276, 2018

  38. S. Claus, P. Kerfriden, A stable and optimally convergent LaTIn-CutFEM algorithm for multiple unilateral contact problems, International Journal for Numerical Methods in Engineering 113(6), 938-966, 2018

  39. H Lian, P. Kerfriden, SPA Bordas, Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines, Computer Methods in Applied Mechanics and Engineering 317, 1-41, 2017

  40. N. Rahimi, P. Kerfriden, F. C. Langbein, and R. R. Martin, CAD Model Simplification Error Estimation for Electrostatics Problems, SIAM Journal on Scientific Computing, 40(1), B196–B227, 2017

  41. C.K. Lee, L.A. Mihai, J.S. Hale, P. Kerfriden, S.P.A. Bordas, Strain smoothing for compressible and nearly-incompressible finite elasticity, Computers & Structures 182, 540-555, 2017

  42. X. Peng, E. Atroshchenko, P. Kerfriden, S.P.A. Bordas, Isogeometric boundary element methods for three-dimensional static fracture and fatigue crack growth, Computer Methods in Applied Mechanics and Engineering 316, 151-185, 2017

  43. X. Peng, E. Atroshchenko, P. Kerfriden, S.P.A. Bordas, Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment, International Journal of Fracture 204, 55-78, 2017

  44. D. Alves Paladim, J.P. Moitinho de Almeida, S.P.A. Bordas, P Kerfriden, Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales, International Journal for Numerical Methods in Engineering, 2016

  45. O. Goury, D. Amsallem, S.P.A. Bordas, W.K. Liu, P. Kerfriden, Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization, Computational Mechanics 58 (2), 213–234, 2016

  46. K.C. Hoang, P. Kerfriden, S.P.A. Bordas, A fast, certified and “tuning free” two-field reduced basis method for the metamodeling of affinely-parametrised elasticity problems, Computer Methods in Applied Mechanics and Engineering 298, 121-158, 2016

  47. H. Lian, P. Kerfriden, S.P.A. Bordas, Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity, International Journal for Numerical Methods in Engineering, 2016

  48. S. Dey, T. Mukhopadhyay, H.H. Khodaparast, P. Kerfriden, S. Adhikari, Rotational and ply-level uncertainty in response of composite shallow conical shells, Composite Structures 131, 594-605

  49. A. Akbari Rahimabadi, P. Kerfriden, S.P.A. Bordas, Scale selection in nonlinear fracture mechanics of heterogeneous materials, Philosophical Magazine 95 (28-30), 3328-3347, 2015

  50. H. Ghasemi, P. Kerfriden, S.P.A. Bordas, J. Muthu, G. Zi, T. Rabczuk, Probabilistic multiconstraints optimization of cooling channels in ceramic matrix composites, Composites Part B: Engineering 81, 107–119, 2015

  51. O.A. GonzĂĄlez-Estrada, J.J. RĂłdenas, S.P.A. Bordas, E. Nadal, P. Kerfriden, F.J. Fuenmayor, Locally equilibrated stress recovery for goal-oriented error estimation in the extended finite element method, Computers and Structures 152, 1-10, 2015

  52. H. Ghasemi, P. Kerfriden, S.P.A. Bordas, G. Muthu, G. Zi, T. Rabczuk, Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients, Composite Structures 120, 221–230, 2015

  53. K.C. Hoang, P. Kerfriden, B.C. Khoo, S.P.A. Bordas, An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems, Numerical Methods for Partial Differential Equations 31 (2), 575–608, 2014

  54. L.A.A. Beex, P. Kerfriden, T. Rabczuk, S.P.A. Bordas, Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation, Computer Methods in Applied Mechanics and Engineering 279, 348–378, 2014

  55. M. Silani, H. Talebi, S Ziaei-Rad, P. Kerfriden, S.P.A. Bordas, T. Rabczuk, Stochastic Modelling of Clay/Epoxy Nanocomposites, Composite Structures 118, 241–249, 2014

  56. V.P. Nguyen, P. Kerfriden, S.P.A. Bordas, T. Rabczuk, Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm, Computer-Aided Design 55, 49–63, 2014

  57. V.P. Nguyen, P. Kerfriden, M. Brino, S.P.A. Bordas, E. Bonisoli, Nitsche’s method for two and three dimensional NURBS patch coupling, Computational Mechanics 53 (6), 1163-1182, 2014

  58. O. A. GonzĂĄlez-Estrada, E. Nadal, J. J. RĂłdenas, P. Kerfriden, S. Bordas, F.J. Fuenmayor, Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery, Computational Mechanics 53 (5), 957-976, 2014

  59. V.P. Nguyen, P. Kerfriden, S.P.A. Bordas, Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis, Composites Part B: Engineering 60, 193-212, 2014

  60. S. Natarajan, P. Kerfriden, D.R. Mahapatra, S.P.A. Bordas, Numerical analysis of the inclusion-crack interaction by the extended finite element method, International Journal for Computational Methods in Engineering Science and Mechanics 15 (1), 26-32, 2014

  61. H. Courtecuisse, J. Allard, P. Kerfriden, C. Duriez, S. Cotin, S.P.A. Bordas, Real-time simulation of contact and cutting of heterogeneous soft-tissues, Medical Image Analysis 18 (2), 391-410, 2013

  62. P. Kerfriden, J.J. RĂłdenas, S.P.A. Bordas, Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error, International Journal for Numerical Methods in Engineering 97 (6), 395-422, 2013

  63. H. Talebi, M. Silani, S.P.A. Bordas, P. Kerfriden, T. Rabczuk, Molecular dynamics/XFEM coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture, International Journal for Multiscale Computational Engineering 11 (6), 527-541, 2013

  64. H. Talebi, M. Silani, S.P.A. Bordas, P. Kerfriden, T. Rabczuk , A computational library for multiscale modeling of material failure, Computational Mechanics 53 (5), 1047-1071, 2013

  65. P. Kerfriden, O. Goury, T. Rabczuk, S.P.A. Bordas, A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics, Computer Methods in Applied Mechanics and Engineering, 256, 169-188, 2013

  66. P. Kerfriden, K. M. Schmidt, T. Rabczuk, S.P.A. Bordas, Statistical extraction of process zones and representative subspaces in fracture of random composite, International Journal for Multiscale Computational Engineering 11(3), 253-287, 2012

  67. O. Allix, P. Gosselet, P. Kerfriden, K. Saavedra, Virtual delamination testing through non-linear multi-scale computational methods: some recent progress, Computers, Materials and Continua 32(2), 107-132, 2012

  68. O. A. GonzĂĄlez-Estrada, J.J. RĂłdenas, S.P.A. Bordas, M. Duflot, P. Kerfriden, E. Giner, On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods, Engineering Computations 29 (8), 814-841, 2012

  69. P. Kerfriden, J.-C. Passieux, S.P.A. Bordas, Local/global model order reduction strategy for the simulation of quasi-brittle fracture, International Journal for Numerical Methods in Engineering 89 (2), 154-179, 2012

  70. L. Chen, T. Rabczuk, G. R. Liu, K. Y. Zeng, P. Kerfriden, S.P.A. Bordas, Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth, Computer Methods in Applied Mechanics and Engineering 209, 250–265, 2012

  71. P. Kerfriden, P. Gosselet, S. Adhikari, S. P.A. Bordas, Bridging proper orthogonal decomposition methods and augmented Newton–Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems, Computer Methods in Applied Mechanics and Engineering 200 (5-8), 850-866, 2011

  72. S. Natarajan, P.M. Baiz, S.P.A. Bordas, T. Rabczuk, P. Kerfriden, Natural frequencies of cracked functionally graded material plates by the extended finite element method, Composite Structures, 93 (11), 3082-3092, 2011

  73. S. Natarajan, P.M. Baiz, M. Ganapathi, P. Kerfriden, S.P.A. Bordas, Linear free flexural vibration of cracked functionally graded plates in thermal environment, Computers and Structures 89 (15-16), 1535-1546, 2011

  74. S.P.A. Bordas, S. Natarajan, P. Kerfriden, C.E. Augarde, D.R. Mahapatra, T. Rabczuk, S. D. Pont, On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM), International Journal for Numerical Methods in Engineering 86 (4-5), 637-666, 2011

  75. N. Vu-Bac, H. Nguyen-Xuan, L. Chen, S.P.A. Bordas, P. Kerfriden, R.N. Simpson, G.R. Liu, A Node-Based Smoothed eXtended Finite Element Method (NS-XFEM) for Fracture Analysis, Computer Modeling in Engineering and Sciences 73 (4), 331-356, 2011

  76. C.F. Dunant, S.P.A. Bordas, P. Kerfriden, K.L. Scrivener, T. Rabczuk, An Algorithm to compute damage from load in composites, Frontiers of Architecture and Civil Engineering in China, 5 (2), 180-193, 2011

  77. P. Baiz, S. Natarajan, S.P.A. Bordas, P. Kerfriden, T. Rabczuk, Linear buckling analysis of cracked plates by SFEM and XFEM, Journal of Mechanics of Materials and Structures 6 (9-10), 1213-1238, 2011

  78. O. Allix, P. Kerfriden, P. Gosselet, A relocalization technique for the multiscale computation of delamination in composite structures, Computer Modeling in Engineering and Science 55 (3), 271-292, 2010

  79. O. Allix, P. Kerfriden, P. Gosselet, On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework, International Journal for Numerical Methods in Engineering, 83 (11), 1518-1540, 2010

  80. P. Kerfriden, O. Allix, P. Gosselet, A three-scale domain decomposition method for the 3D analysis of debonding in laminates, Computational Mechanics, 44 (3), 343-362, 2009