Journal
INTERNATIONAL JOURNAL OF FRACTURE
Volume 230, Issue 1-2, Pages 99-114Publisher
SPRINGER
DOI: 10.1007/s10704-021-00538-7
Keywords
Brittle fracture; Homogeneization; Effective fracture energy; Disordered materials; Microstructural design
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This study investigates the influence of material disorder on the toughening behavior of composite materials through large-scale numerical simulations. It is found that the disorder intensity and inclusion geometry can quantitatively and qualitatively modify the toughening behavior, providing insights for the design of disordered composites with improved crack growth resistance and tailored asymmetric fracture properties.
Considering a semi-infinite crack propagating within a plane where the local fracture energy fluctuates due to the presence of microstructural heterogeneities, we emphasize the decisive influence of the material disorder on the effective fracture energy of the composite at a macroscopic scale. Through the use of large-scale numerical simulations of a crack interacting with tough inclusions of varying shape, we show how the disorder intensity and the inclusion geometry modify both quantitatively and qualitatively the toughening behavior with respect to the periodic case, where the inclusions are arranged in an ordered manner. This disorder-induced toughening is then rationalized using a theoretical homogenization framework borrowed from statistical physics. It ultimately allows to propose strategies for the design of disordered composites with improved crack growth resistance and tailored asymmetric fracture properties.
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