Periodic smoothing splines for FFT-based solvers
TypeArticles dans des revues avec comité de lecture
The aim of this paper is to develop a periodic smoother based on splines for FFT-based solvers. Spurious oscillations in FFT-based methods are shown to be due to pseudo-spectral differentiation of discontinuous fields. An automatic smoother based on polynomial splines is developed, which permits to add smoothness to initial material properties. The method, which is applied in various problems including conductivity, elasticity and field dislocation mechanics, improves significantly the local fields and reduces spurious oscillations.
Files in this item
Showing items related by title, author, creator and subject.
A homogenization-based damage model for stiffness loss in ductile metal-matrix composites(Article) DORHMI, Khaoula; MORIN, LEO; DERRIEN, Katell; HADJEM-HAMOUCHE, Zehoua; CHEVALIER, Jean - Pierre (ELSEVIER, 2020)The aim of this paper is to develop a homogenized model that permits to describe the progressive loss of stiffness observed experimentally on ductile metal-matrix composites subjected to mechanical loadings. A two-step ...
Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape DERRIEN, Katell; MORIN, Léo; GILORMINI, Pierre (2018)The aim of this paper is to study the design of isotropic composites reinforced by aligned spheroidal particles made of a transversely isotropic material. The problem is investigated analytically using the framework of ...
MORIN, LEO; GILORMINI, Pierre; DERRIEN, Katell (Springer, 2020)The aim of this short paper is to provide, for elasticity tensors, generalized Euclidean distances that preserve the property of invariance by inversion. First, the elasticity law is expressed under a non-dimensional form ...
MORIN, Léo; BRENNER, Rénald; SUQUET, Pierre M. (IOP Publishing, 2019)The aim of this paper is to investigate the numerical implementation of the field dislocation mechanics (FDM) theory for the simulation of dislocation-mediated plasticity. First, the mesoscale FDM theory of Acharya and Roy ...
In-situ experimental and numerical studies of the damage evolution and fracture in a Fe-TiB2 composite HADJEM-HAMOUCHE, Z.; DERRIEN, Katell; HÉRIPRÉ, E.; CHEVALIER, Jean-Pierre (Elsevier, 2018)A joint experimental and modelling study of plastic strain and ensuing damage in a novel metal matrix composite (Fe-TiB2) is presented. Damage is observed and quantified using SEM images processing and Acoustic Emission ...