Subsonic propagation of cracks between dissimilar quasicrystals
Abstract
Abstract We analyse the subsonic propagation of a crack along the interface between two different quasicrystals in a two-dimensional (2D) ambient setting and small strain regime. In the absence of a phason self-action, we provide a closed-form solution of the related Riemann–Hilbert problem. Then, we use such a result as a benchmark for a numerical analysis of the influence of a phason self-action on the crack propagation, which is the focus of our work. In addition to the special attention to quasicrystals, our work extends the classical analyses of interface cracks in linear elasticity to more general elastic bodies with ‘active’ microstructure described by vector phase fields.
Fields of Study & Subjects
Quasicrystal Structures and Properties
Shape Memory Alloy Transformations
Cellular and Composite Structures
Publication details
- Journal / source
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Publisher
- The Royal Society
- Volume
- 482
- Issue
- 2329
- Publication date
- 1 January 2026
- Language
- EN