Consistance du lissage des contraintes par convolution

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.