Comptes Rendus

Special Issue

Methods for Metamaterials Design: Mathematical Modelling, Numerical Techniques and Experiments

Special Issue

Artificial Intelligence and Computational Methods in Applied Sciences

Special Issue

Multiphysics simulation environments

Special Issue

Abbé Bertholon: his life, his work and his successors in the 21st century

Coordinated by: Bruno Chanetz

Special Issue

Advances in finite fracture mechanics : a tribute to Dominique Leguillon's scientific achievements

Coordinated by: Leblond Jean-Baptiste

Special Issue

Recent advances in general relativity: an issue in memory of Yvonne Choquet-Bruhat

Coordinated by: Jérémie Szeftel

All articles

Review article
Some aspects of spectral and microlocal methods in Mathematical General Relativity

p. 1-28
Review article
Gluing for the Einstein constraint equations

p. 29-52
Review article
Cosmology, the big bang and the BKL conjecture

p. 53-77
Research article
Closed-form analysis of a thermally loaded single-layer system on a rigid foundation

p. 79-89
Review article
A review of characteristic lengths in the coupled criterion framework and advanced fracture models

p. 91-111
Research article
An accurate and robust FFT-based solver for transient diffusion in heterogeneous materials
p. 113-125
Research article
Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation
p. 127-149
Review article
On the regularity problems of Einstein equations

p. 151-175
Review article
A survey on the positive mass theorem for asymptotically flat initial data sets

p. 177-194
Research article
Electrical and Thermal Conductivity of Complex-Shaped Contact Spots
p. 195-234
Research article
Dynamic recrystallization and mechanical behavior of Mg alloy AZ31: Constraints from tensile tests with in-situ EBSD analysis
p. 235-258
Research article
Finite strain formulation of the discrete equilibrium gap principle: application to direct parameter estimation from large full-fields measurements
p. 259-308
Research article
Nomograms of solid linear viscoelastic materials in time and frequency domains
p. 309-320
Research article
On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
p. 321-338
Review article
Review of the matched asymptotic approach of the coupled criterion

p. 339-357
Research article
Mechanisms of transverse cracking induced by adjacent ply matrix cracks in composite laminates

p. 359-377
Review article
Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations

p. 379-410
Historical Commentary
On Yvonne

p. 411-414
Review article
The Strong Cosmic Censorship conjecture

p. 415-454
Review article
Burnett’s conjecture in general relativity

p. 455-476
Foreword
Foreword to the special issue “Recent advances in general relativity: an issue in memory of Yvonne Choquet-Bruhat”

p. 477-478
Research article
Simulating bone healing with bio-resorbable scaffolds in a three-dimensional system: insights into graft resorption and integration
p. 479-497
Research article
Intelligent bearing faults diagnosis in non-stationary conditions based on angular resampling and support vector machine
p. 499-518
Review article
The stability of Minkowski space and its influence on the mathematical analysis of General Relativity

p. 519-542
Research article
A recurrence formula in reciprocal frame structures: the Da Vinci bridge
p. 543-554
Review article
The black hole stability problem

p. 555-581
Research article
Delamination identification in beams using an inverse analytical approach based on the natural frequencies
p. 583-599
Research article
Some remarks concerning the nucleation and initiation lengths of fractures in brittle materials in the light of Dominique Leguillon’s energy criterion

p. 601-614
Research article
Projective continuum mechanics
p. 615-625
Research article
Particle size effect on the strength of particle-reinforced composites. Experimental analysis and comparison with the coupled criterion

p. 627-646
Research article
Computational identification of double-bending stiffness: from Zigzagged Articulated Parallelograms with Articulated Braces (ZAPAB) structures to pure-curvature gradient planar inextensible 1D continua
p. 647-672
Research article
Critical threshold for crossing a firebreak: mathematical model and fire experiments
p. 673-686
Research article
Dynamic damage modelling through phase-field approaches: assessment, critical analysis and comparison
p. 687-723
Research article
3D finite fracture mechanics under mode I loading: the flat elliptical crack

p. 725-745
Research article
La face cachée des orages
[The hidden face of storms]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 747-760
Research article
On the formulation and convergence of Data-Driven Identification
p. 761-773
Editorial
En hommage à l’abbé Bertholon
[In tribute to Father Bertholon]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 775-777
Review article
Multiphysics simulations in biomedical: fluid–structure interaction coupled with mass transfer
p. 779-790
Research article
Physical digital twins for ancient stone masonry informed of original construction techniques: the case of Sardinian nuraghi
p. 791-813
Research article
Multi-scale modeling and simulation of high-contrast periodic composite materials: second-order gradient theory
p. 815-861
Research article
Doppler effect considered as a distortion of time, application to an engineering case
p. 863-877
Research article
The nonlocal nature of the Reynolds stress
p. 879-899
Research article
Towards the determination of optimal 3D initiation crack shapes

p. 901-922
Research article
Scattering of transient waves by an interface with time-modulated jump conditions
p. 923-951
Research article
Predicting stress–strain constitutive relationships: a deep learning approach based on multi-head attention mechanism and long short-term memory networks
p. 953-988
Review article
An introduction to natural radiations and their detrimental effects on electronic devices

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 989-997
History of Sciences and Ideas
L’abbé Bertholon, un électricien des Lumières à Montpellier
[An electrician in the age of Enlightenment in the provinces: Abbe Bertholon]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 999-1003
Research article
Efficient FFT solver for discrete dislocation dynamics with sharp field description of plastic strain in FCC metals
p. 1005-1025
Research article
Phase-field and lip-field approaches for fracture with extreme mesh deformation (X-Mesh): a one-dimensional study
p. 1027-1051
History of Sciences and Ideas
Le Montpellier scientifique du XVIIIe siècle
[Scientific Montpellier in the 18th century]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 1053-1062
Research article
An incremental variational method to the coupling between gradient damage, thermoelasticity and heat conduction

p. 1063-1084
Research article
Development of a numerical protocol for the very high strain rate dynamic fragmentation of porous-brittle materials at the microstructure scale
p. 1085-1108
Review article
Apports du fluide électrique sur les systèmes aérospatiaux
[Contribution of the electric fluid to aerospace systems]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 1109-1122
Foreword
Recent advances in finite fracture mechanics—a tribute to Dominique Leguillon’s scientific achievements

p. 1125-1126
Review article
Le foudroiement des avions : compréhension, impacts et protection
[Aircraft lightning strikes: understanding, impacts, and protection]

This article is part of the thematic issue Abbé Bertholon: his life, his work and his successors in the 21st century coordinated by: Bruno Chanetz.
p. 1127-1153
Foreword
Introduction: from pioneering works to nowadays cutting-edge multiphysics simulations

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1155-1157
Research article
High-order multistep coupling: convergence, stability and PDE application

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1159-1184
Research article
A homogenization technique for materials with periodic lacunar fractal microstructure
p. 1185-1200
Research article
Density wave propagation of momentum and the formation of arches in the undulation of a vertically vibrated thin granular layer
p. 1201-1224
Research article
Crack propagation in concrete mortar under quasi-static tensile loading: experimental insights and phase-field modeling
p. 1225-1260
Research article
SoNICS: design and workflow of a new CFD software

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1261-1287
Research article
ArcNum: an Arcane-based numerical framework used in porous media flow simulation applications

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1289-1314
Research article
Modular and Interdisciplinary Methods for Aeroelastic Simulations (MIMAS)

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1315-1349
Research article
Bubble breakup probability in turbulent flows
p. 1351-1364
Research article
Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics

p. 1365-1383
Research article
An engineering methodology for predicting crack growth of 2024-T3 aluminium alloys under variable amplitude loading
p. 1385-1404
Review article
Single fibre damping: insight, advances and challenges
p. 1405-1423
Research article
Influence of steel substrate behavior on the deformation and cracking of Zn–Al–Mg coatings on galvanized steel sheets
p. 1425-1449
Research article
Towards an automated toolset for mesh adapted Navier–Stokes simulation of hypersonic vehicles

This article is part of the thematic issue Multiphysics simulation environments coordinated by: Nicolas Bertier et al..
p. 1451-1475
Research article
Bearing fault prognosis based on Cyclical Remaining Useful Life (CRUL)
p. 1477-1495