In this article, we follow again the formalism originally of (Hossain, Hsueh, Bourdin, & Bhattacharya, 2014) for determining the effective toughness of a microstructure and use it to build composite materials with enhanced fracture toughness. We perform quantitative comparison between experiments and numerical simulation, validating our formalism and phase-field computations. Note in particular how small variations of the location of an initial crack can have large effects on crack pats, which we can capture numerically.
Weak pinning of a crack propagating through layers with different elastic moduli at a shallow angle.
This work was supported in part by a a joint grant from the National Science Foundation (Grant No. DMS-1535083 and 1535076) under the Designing Materials to Revolutionize and Engineer our Future (DMREF).
- Brodnik, N. R., Hsueh, C.-J., Faber, K. T., Bourdin, B., Ravichandran, G., & Bhattacharya, K. (2020). Guiding and Trapping Cracks With Compliant Inclusions for Enhancing Toughness of Brittle Composite Materials. J. Appl. Mech., 87(3). DOI:10.1115/1.4045682 Download
- Hossain, M. Z., Hsueh, C.-J., Bourdin, B., & Bhattacharya, K. (2014). Effective toughness of heterogeneous media. J. Mech. Phys. Solids, 71, 320–348. DOI:10.1016/j.jmps.2014.06.002 Download