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Effect of Intrinsic Twist and Orthotropy on Extension–Twist–Inflation Coupling in Compressible Circular Tubes

Singh, Raushan and Kumar, Siddhant and Kumar, Ajeet (2017) Effect of Intrinsic Twist and Orthotropy on Extension–Twist–Inflation Coupling in Compressible Circular Tubes. Journal of Elasticity, 128 (2). pp. 175-201. ISSN 0374-3535. doi:10.1007/s10659-017-9623-8.

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We present effects of intrinsic twist and material orthotropy on extension–twist–inflation coupling in circular tubes about their stress-free state. Simple analytical expressions for coupling stiffnesses corresponding to extension–twist, twist–inflation and extension–inflation couplings are obtained. We show that the sign of the extension–twist coupling stiffness, which governs initial overwinding/unwinding in tubes during their extension, is not just dependent on the tube’s intrinsic twist but also on two other parameters: ratio of the Young’s moduli in the lateral surface of orthotropic tube and the excess of the Poisson’s ratio from an isotropy condition. By tuning these two parameters, one can generate the counter-intuitive overwinding as reported earlier in the case of DNA. Similarly, we show that even with positive Poisson’s ratio, an intrinsically twisted tube could inflate on being stretched. We also present a scheme to obtain all the relevant stiffnesses of chiral single-walled carbon nanotubes from a “one-atom unit cell” calculation. These stiffnesses, when plotted vs. the nanotube’s chirality, exhibit interesting periodicity which has its origin in the 6-fold symmetry of graphene. This trend is captured in the continuum model for a nanotube when it is assumed to be comprised of three families of parallel fibers on its lateral surface.

Item Type:Article
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URLURL TypeDescription ReadCube access
Singh, Raushan0000-0002-8724-298X
Kumar, Siddhant0000-0003-1602-8641
Kumar, Ajeet0000-0003-1501-4889
Additional Information:© 2017 Springer Science+Business Media Dordrecht. Received: 21 September 2016; First Online: 26 January 2017. We thank Anuj Arora, Akash Verma and Pranjal Singh for their valuable suggestions during the course of this work. The funding from SERB, DST (YSS/2014/000023) and partial support from CSIR, India (sanction # 22(0709)/16/EMR-II) are gratefully acknowledged.
Funding AgencyGrant Number
Science and Engineering Research Board (SERB)YSS/2014/000023
Council of Science and Industrial Research (India)22(0709)/16/EMR-II
Subject Keywords:Chirality; Extension–twist coupling; Negative Poisson effect; Single-walled nanotubes
Issue or Number:2
Classification Code:MSC: 74B20; 74A25; 74Q15
Record Number:CaltechAUTHORS:20170614-140358665
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Official Citation:Singh, R., Kumar, S. & Kumar, A. J Elast (2017) 128: 175.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78213
Deposited By: Ruth Sustaita
Deposited On:14 Jun 2017 21:51
Last Modified:15 Nov 2021 17:37

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