[en] A systematic stress smoothing procedure is proposed on the basis of a convolution process. It is then found that in order to be effective, use has to be made of kernels satisfying to a consistency condition, that is, the true stress has not to be changed by the convolution process. A family of consistent kernels is then obtained for biharmonic stresses through a step whose inspiration comes from a book of Parton and Perline. Examples are given.
Research center :
LTAS
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Language :
French
Title :
Consistance du lissage des contraintes par convolution
Alternative titles :
[en] Consistency of stress smoothing by convolution
Publication date :
May 2001
Report number :
LMF/D44
Number of pages :
15
Commentary :
This is the full theoretical basis of a communication "Consistency of stress smoothing by convolution" given in Barcelona the same year. Another, by far more elegant and more general step was found later and described in the communication "Sur la consistance du lissage des contraintes par convolution" presented in Marrakech in 2009.
