Cracks in the desert floor appear random to the untrained eye, even beautifully so, but the mathematics governing patterns of dried clay turn out to be predictable — and useful in designing advanced materials.
In a pair of new studies from Princeton University, researchers found that in a large class of common materials, including clay and human skin, individual grains of the material shrink as they dry. The amount and speed of shrinkability varies with the material’s physical properties. By harnessing this previously unknown trait, the researchers are able to predict, and even reverse, cracking over time.
“The application of materials that spontaneously heal themselves, by leveraging shrinkability, is something I’m very excited about,” said Sujit Datta, assistant professor of chemical and biological engineering at Princeton University and lead author on the studies.
In the first paper, by balancing conditions just so, the researchers fine-tuned a shrinkable granular material so that it alternately cracked apart in precise clusters, didn’t crack at all, or started to crack but closed again. The second paper, due out October 10 in Physical Review Letters, lays out the general physics governing shrinkability — that is, how each grain changes individually as it interacts with the aggregate, and how this trait impacts the sizes of clusters left after a granular material cracks. Nearly a century of work in this field had assumed all grains retain their size, failing to describe the shrinking of individual grains in such materials. The revelation impacts everything from biomedical treatments to fuel cells to toxic-waste containment.
This work was funded in part by the School of Engineering and Applied Science at Princeton University, the Grand Challenges Initiative of the Princeton Environmental Institute, and the Princeton Center for Complex Materials, a Materials Research Science and Engineering Center supported by NSF grant DMR-1420541.
Reference: “Crack formation and self-closing in shrinkable, granular packings” by H. Jeremy Cho, Nancy B. Lu, Michael P. Howard, Rebekah A. Adams and Sujit S. Datta, Soft Matter, Issue 23, 2019.