A multiscale analytical framework for mode I crack in staggered composites. (December 2020)

• Record Type: Journal Article
• Authors: Liu, Junjie; Yu, Zhongliang; Wei, Xiaoding
• Is Part Of: Journal of the mechanics and physics of solids. Volume 145(2020)
• Publication Date: 2020-12
• Subjects: Crack resistance -- Multiscale analysis -- Staggered composites -- Damage tolerance -- Toughening mechanism; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2020.104157
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: Owing to the special arrangement of platelets, staggered composites can achieve superior fracture toughness. Nevertheless, a rigorous mathematical framework for the fracture analysis on them remains a challenge. Here, we show that by incorporating the mechanical behavior of individual unit cells, a multiscale analytical framework for a mode I crack propagation in staggered composites can be setup adopting the "fishnet" scheme proposed recently. The mathematical formulae for the mode I crack turn out to coincide with those for the mode III crack in homogenous ideal elastic-plastic media. Using red abalone nacre as a case study, we show that the inelastic zone in front of the crack and the R -curve given by our analysis agree remarkably well with the experiments. In the last, the design space for the damage-tolerant composites emerges from the crack sensitivity analysis, which could guide the advanced materials design.