Andrea J. Liu and Arjun G. Yodh
Like liquids, solids can flow under applied shear stresses. In crystalline solids, figuring out vulnerable regions where the material will break under stress is well-established—they are typically controlled by a population of defects in the crystal structure known as dislocations. In disordered solids, however, defects are everywhere, making the task of identifying such vulnerable spots much more daunting.
When a disordered solid is placed under mechanical load, it can fail via localized rearrangements of particles. These rearrangements are what allow the solid to flow. We showed that there is a link between the nature of vibrations in disordered packings and mechanical failure. We studied the vibrations of thermosensitive colloidal particles in a dense packing before it was placed under compression, identifying a population of soft spots. We then showed that these localized regions are indeed vulnerable to rearrangement. Thus, we are now able to identify the vulnerable regions in a dense, disordered packing before it fails under a load. We are now examining the ways in which these results apply to disordered atomic packings.