A Method for Determining Elastic-Plastic Stress Singularity at the Interface Edge of Bonded Power Law Hardening Materials

Abstract

A theoretical method for estimating the elastic-plastic stress singularity at the interface edge of bonded power-law materials is proposed, based on the iterative approach developed in this study. It is found that the elastic-plastic stress singularity depends on the bonding angle and the larger hardening exponent of the composed materials. The smaller the hardening exponent is, the stronger the stress singularity becomes. Moreover, the elastic plastic stress singularity disappears when the bonding angle is smaller than 45°. The singularity coincides with that of an interface crack when the bonding angle approaches to 180°. Through the comparison with numerical results obtained by the elastic-plastic boundary element analysis, it is proved that the iterative method proposed in this study is accurate enough and very efficient.