New discovery shows tensile cracks can shatter classical speed limits, approach near-supersonic velocities

Tensile cracks can shatter classical speed limits
Experimental system that generates super-sonic laboratory earthquakes at Hebrew University Laboratory. Credit: Meng Wang, Hebrew University

Researchers at the Racah Institute of Physics, Hebrew University of Jerusalem, have made a discovery that challenges the conventional understanding of fracture mechanics. The team, led by Dr. Meng Wang, Dr. Songlin Shi, and Prof. Jay Fineberg, has experimentally demonstrated the existence of “supershear” tensile cracks that exceed classical speed limits and transition to near-supersonic velocities. Their paper is published in the journal Science.

Traditionally, brittle materials have been observed to fail through the rapid propagation of cracks. Classical fracture mechanics describes the motion of tensile cracks that release elastic energy within a localized zone at their tips, limiting their speed to the Rayleigh wave speed (CR). However, the recent findings by the Hebrew University researchers indicate a paradigm shift in this understanding.

Utilizing brittle neo-Hookean materials in their experiments, the team identified the occurrence of “supershear” tensile cracks that smoothly accelerate beyond the classical speed limit of CR. Surprisingly, these cracks were observed to surpass the shear wave speed (cS) as well. In certain cases, the velocities of these supershear cracks approached dilatation wave speeds, presenting phenomena previously unobserved in classical fracture mechanics.

One of the most remarkable aspects of the discovery is the observation that supershear dynamics are governed by different principles than those guiding classical cracks. This non-classical mode of tensile fracture is not a random occurrence; rather, it is excited at critical strain levels that depend on the material properties.

Classical crack moving at half of the sound speed. Credit: Meng Wang, Hebrew University

“This finding represents a fundamental shift in our understanding of the fracture process in brittle materials,” commented Prof. Jay Fineberg, the corresponding author of the research. “By demonstrating the existence of supershear tensile cracks and their ability to exceed classical speed limits, we have opened up new avenues for studying fracture mechanics and its applications.”

The implications of this research extend beyond the realm of physics. By showing that tensile cracks can surpass their classical speed limits, the researchers have paved the way for a new understanding of fracture mechanics.

More information: Jay Fineberg et al, Tensile cracks can shatter classical speed limits, Science (2023). DOI: 10.1126/science.adg7693www.science.org/doi/10.1126/science.adg7693

Journal information: Science 

Provided by Hebrew University of Jerusalem