Pattern formation and selection in quasi-static fracture
Kwan-tai Leung, Zoltan Neda
Abstract
Fracture in quasi-statically driven systems is studied by means of a discrete spring-block model. Developed from close comparison with desiccation experiments, it describes crack formation induced by friction on a substrate. The model produces cellular, hierarchical patterns of cracks, characterized by a mean fragment size linear in the layer thickness, in agreement with experiments. The selection of a stationary fragment size is explained by exploiting the correlations prior to cracking. A scaling behavior associated with the thickness and substrate coupling, derived and confirmed by simulations, suggests why patterns have similar morphology despite their disparity in scales.
Create a lesson
Related papers
Droplets obstruct Onsager-type solutions of the Ising model in a magnetic field
Ran Luo, Jiahua Tian
Physical limits to stochastic classifiers
Timur Aslyamov, Massimiliano Esposito
Absolute area under a scaled Brownian motion with resetting
Vicenç Méndez, Javier Cristín
Understanding the Mpemba Effect through a Rule of Thumb
Ran Yaacoby
Beyond the lemon: Spectra of random Lindblad operators with a Hamiltonian component
Mykhailo Hontarenko, Wojciech Tarnowski, Sergey Denisov et al.
Towards synergy between theory and experiments: First-passage processes under resetting with stochastic return protocols
Ashutosh Dubey, Arnab Pal