Stress Analysis during Crack-Crazing Patterns Interactions: A Mathematical Approach

In this study, interactions between a main crack and a surrounding layer of crazing patterns are considered. Analysis of the stress field distribution induced during these interactions is based on the resolution of some differential equations along with appropriate boundary conditions and the use of a numerical approach. These equations are established according to Mohr’s criteria since the craze growth occurs along directions parallel to the minor principal stress axis. Because this damage can constitute an important toughening mechanism, the mode I stress intensity factor (SIF) is employed to quantify the effects on a crack of the damage consisting of crazing patterns. It is proven, herein, that crazes closer to the main crack dominate the resulting interaction effect and reflect an antishielding of the damage while a reduction constitutes a material toughness.