Internal Stresses Lead to Net Forces and Torques on Extended Elastic Bodies

Hillel Aharoni, John M. Kolinski, Michael Moshe, Idan Meirzada, Eran Sharon

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


A geometrically frustrated elastic body will develop residual stresses arising from the mismatch between the intrinsic geometry of the body and the geometry of the ambient space. We analyze these stresses for an ambient space with gradients in its intrinsic curvature, and show that residual stresses generate effective forces and torques on the center of mass of the body. We analytically calculate these forces in two dimensions, and experimentally demonstrate their action by the migration of a non-Euclidean gel disc in a curved Hele-Shaw cell. An extension of our analysis to higher dimensions shows that these forces are also generated in three dimensions, but are negligible compared to gravity.

Original languageAmerican English
Article number124101
JournalPhysical Review Letters
Issue number12
StatePublished - 16 Sep 2016

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© 2016 American Physical Society.


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