Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues
OCCAM, Mathematical Institute, University of Oxford - Oxford, UK, EU
2 Bryn Mawr College - Bryn Mawr, PA 19010, USA
Accepted: 16 June 2010
Elastic cavitation is a well-known physical process by which elastic materials under stress can open cavities. Usually, cavitation is induced by applied loads on the elastic body. However, growing materials may generate stresses in the absence of applied loads and could induce cavity opening. Here, we demonstrate the possibility of spontaneous growth-induced cavitation in elastic materials and consider the implications of this phenomenon to biological tissues and in particular to the problem of schizogenous aerenchyma formation.
PACS: 87.85.gp – Mechanical systems / 46.32.+x – Static buckling and instability / 89.20.-a – Interdisciplinary applications of physics
© EPLA, 2010