Bridging proper orthogonal decomposition methods and augmented Newton–Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical …

P Kerfriden, P Gosselet, S Adhikari… - Computer methods in …, 2011 - Elsevier
This article describes a bridge between POD-based model order reduction techniques and
the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to …

A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics

P Kerfriden, O Goury, T Rabczuk… - Computer methods in …, 2013 - Elsevier
We propose in this paper a reduced order modelling technique based on domain
partitioning for parametric problems of fracture. We show that coupling domain …

Progressive delamination of laminated composites via 1D models

I Kaleel, E Carrera, M Petrolo - Composite Structures, 2020 - Elsevier
This paper presents a novel numerical framework to simulate the progressive delamination
in laminated structures based on 1D component-wise models. The proposed numerical tool …

A stable and optimally convergent LaTIn‐CutFEM algorithm for multiple unilateral contact problems

S Claus, P Kerfriden - International Journal for Numerical …, 2018 - Wiley Online Library
In this paper, we propose a novel unfitted finite element method for the simulation of multiple
body contact. The computational mesh is generated independently of the geometry of the …

A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites

P Kerfriden, S Claus, I Mihai - Advanced Modeling and Simulation in …, 2020 - Springer
We develop a novel unfitted finite element solver for composite materials with quasi-1D
fibrous reinforcements. The method belongs to the class of mixed-dimensional non …

Finite deformation elasto-plastic modelling using an adaptive meshless method

Z Ullah, CE Augarde - Computers & Structures, 2013 - Elsevier
Efficient computational modelling of problems including both material and geometric
nonlinearities remains challenging. Often these problems are modelled with adaptive finite …

An XFEM-based methodology for fatigue delamination and permeability of composites

DM Grogan, SB Leen, CMÓ Brádaigh - Composite Structures, 2014 - Elsevier
A methodology for the simulation of thermal fatigue delamination in composites and
prediction of delaminated crack opening displacement (DCOD) and composite laminate …

The compressive behaviour of composites including fiber kinking: modelling across the scales

O Allix, N Feld, E Baranger, JM Guimard, C Ha-Minh - Meccanica, 2014 - Springer
A multiscale strategy is proposed for the simulation of compressive failure by kinking in
laminated samples. The model is based on an hybrid description of the material: the …

CutFEM method for Stefan--Signorini problems with application in pulsed laser ablation

S Claus, S Bigot, P Kerfriden - SIAM Journal on Scientific Computing, 2018 - SIAM
In this article, we develop a cut finite element method for one-phase Stefan problems with
applications in laser manufacturing. The geometry of the workpiece is represented implicitly …

Scale selection in nonlinear fracture mechanics of heterogeneous materials

A Akbari Rahimabadi, P Kerfriden… - Philosophical …, 2015 - Taylor & Francis
A new adaptive multiscale method for the non-linear fracture simulation of heterogeneous
materials is proposed. The two major sources of errors in the finite element simulation are …