Elasticity and stability of a helical ribbon with noncircular cross section

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/27690

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题名:	Elasticity and stability of a helical ribbon with noncircular cross section
作者:	周子聰;Zhou, Zi-cong
贡献者:	淡江大學物理學系
关键词:	Elasticity;ribbon;biopolymer;stability
日期:	2005-03-10
上传时间:	2009-12-31 10:37:39 (UTC+8)
出版者:	World Scientific Publishing
摘要:	We derive the general shape equations in terms of Euler angles for an elastic model of uniform ribbon with noncircular cross section and vanishing spontaneous curvatures. We show that it has in general not a planar solution for a closed ribbon free of external force and torque. We study the conditions to form a helix with the axis along the direction of the applied force for a ribbon under external force and twisting. We find that if the bending rigidity is greater than the twisting rigidity, then no such helical rod can exist. Our stability analysis shows that a helical ribbon is in general stable or at least metastable under arbitrary force and torque. We find that the extension of the ribbon may undergo a discontinuous transition from a twisted straight rod to a helical ribbon. The intrinsic asymmetric elasticity of a helical ribbon under external torque is also studied.
關聯:	Modern Physics Letters B 19(5), pp.249-267
DOI:	10.1142/S0217984905008256
显示于类别:	[物理學系暨研究所] 期刊論文

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