Abstract

Two-dimensional macrocrack-microcrack array elastic interactions are studied by using homogenization method. The overall elastic moduli of the cracked material are estimated by solving the microscopic problem on the unit cell and they are used in the macroscopic problem. Macrocrack is regarded as a crack in infinite elastic solid, and microcrack array is regarded as locally periodic micro-structure with crack, and the periodic and parallel crack array is configured in the macrocrack tip region. It is found that the effects of interaction by changing of the microcrack parameters that are crack length, position, orientation and loading mode, significantly alter stress and stress intensity factor, then effects of amplification and shielding are observed. Especially by microcrack array rotation, effect of shielding that is toughening by microcracking is caused at an angle, under mode I, mode II or combined mode.

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