Analysis of the stress and strain fields near the tip of a steady-state growing crack in an elastic-viscous medium: The Hui-Riedel problem revisited by means of the method of matched asymptotic expansions

作者：Abdelmoula Radhi^*; Debruyne Gilles

来源：Comptes Rendus Mecanique, 2016, 344(9): 613-622.

DOI：10.1016/j.crme.2016.05.005

• Creeping
• Hui & Riedel solution
• Multi-scale analysis
• HRR fields
• Match asymptotic developments

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.

• 出版日期2016-9