TY - JOUR
T1 - Internal Stresses Lead to Net Forces and Torques on Extended Elastic Bodies
AU - Aharoni, Hillel
AU - Kolinski, John M.
AU - Moshe, Michael
AU - Meirzada, Idan
AU - Sharon, Eran
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/9/16
Y1 - 2016/9/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84989897835&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.117.124101
DO - 10.1103/PhysRevLett.117.124101
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AN - SCOPUS:84989897835
SN - 0031-9007
VL - 117
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
M1 - 124101
ER -