Internal Stresses Lead to Net Forces and Torques on Extended Elastic Bodies
Internal Stresses Lead to Net Forces and Torques on Extended Elastic Bodies
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DOI：
10.1103/physrevlett.117.124101
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发表时间：
2016-09-16
影响因子：
8.6
通讯作者：
Sharon, Eran
中科院分区：
文献类型：
--
作者：
Aharoni, Hillel;Kolinski, John M.;Sharon, Eran
几何受抑弹性体将产生残余应力，所述残余应力是由本体的固有几何形状与周围空间的几何形状之间的失配引起的。我们分析了这些应力的环境空间的梯度在其固有曲率，并表明，残余应力产生有效的力和力矩的身体的质心。我们分析计算这些力量在两个维度上，并通过实验证明他们的行动的非欧几里德凝胶盘在弯曲的Hele-Shaw细胞的迁移。我们的分析延伸到更高的维度表明，这些力也在三维中产生，但与重力相比可以忽略不计。
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.