Analyse des champs mécaniques au voisinage d'une fissure mobile dans un milieu viscoélastique : le problème de Hui et Riedel revisité par une méthode de développements asymptotiques raccordés

The stress and strain fields near the tip of a steady-state growing crack are examined for elastic-viscous materials. A solution to this problem has been originally derived by Hui & Riedel, with some paradoxes such as the non-dependence of the far fields with respect to the crack growth rate. A two-scale match asymptotic analysis is suggested here to overcome these paradoxes. The scale factor is completely determined by the material properties. The inner scale may be considered as a boundary layer, where the stress field is completely described by a serial Fourier analysis. The unit value fits with the Hui & Riedel solution