New paper: Anisotropy of the effective toughness of layered media
A new article on the anistropy of the anisotropy effective toughness of layered materials (Brach, Hossain, Bourdin, & Bhattacharya, 2019), to appear in the Journal of the Mechanics and Physics of Solids, is now online. It follows (Hossain, Hsueh, Bourdin, & Bhattacharya, 2014), where we proposed a concept of “effective toughness” of a microstructured material, and methodology to compute it. The specific focus of this work work is on the toughness anisotropy for cracks that do not propagate along the lamination direction. Just as in (Hsueh, Avellar, Bourdin, Ravichandran, & Bhattacharya, 2018), we show that toughness can originate from path deviation, but that pinning and renucleation is a much stronger mechanism.
All input files for the computations presented in this article are available on CaltechDATA.
Weak pinning of a crack propagating through layers with different elastic moduli at a shallow angle. Strong pinning of a crack propagating through layers with different elastic moduli at a sharper angle.
Effective youghness as a function of the relative angle between macroscopic crack orientation and layering direction.
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).
- Brach, S., Hossain, M. Z., Bourdin, B., & Bhattacharya, K. (2019). Anisotropy of the effective toughness of layered media. J. Mech. Phys. Solids, 131, 96–111. DOI:10.1016/j.jmps.2019.06.021 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
- Hsueh, C.-J., Avellar, L., Bourdin, B., Ravichandran, G., & Bhattacharya, K. (2018). Stress fluctuation, crack renucleation and toughening in layered materials. J. Mech. Phys Solids, 120, 68–78. DOI:10.1016/j.jmps.2018.04.011 Download