Pressure‐induced structural transitions in multi‐walled carbon nanotubes

Abstract

We demonstrate a novel cross-sectional deformation, called the radial corrugation, of multi-walled carbon nanotubes (MWNTs) under hydrostatic pressure. Theoretical analyses based on the continuum elastic approximation have revealed that MWNTs consisting of more than ten concentric walls undergo elastic deformations at critical pressure $p_c \simeq 1$ GPa, above which the circular shape of the cross section becomes radially corrugated. Various corrugation modes have been observed by tuning the innermost tube diameter and the number of constituent walls, which is a direct consequence of the core-shell structure of MWNTs.Comment: 6 pages, 3 figures; to appear in physica status solidi (a

Buckling of Carbon Nanotubes: A State of the Art Review

“…Owing to their nanometric scales, similarities and differences in buckled patterns compared with macroscopic counterparts should not be trivial at all. This complexity has motivated tremendous efforts toward the buckling analysis of carbon nanotubes under diverse loading conditions: axial compression [18,19,20,21,22,23,24,25,26,27,28], radial compression [29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63], bending [41,64,65,66,67,68,69,70,71], torsion [72,73,74,75,76,77], and their certain combinations [78,79<...>…”

Stiffener Insertion Based Variance in Radial Stiffness of Multi-Concentric Hollow Tubes

“…For stiffener-inserted MWNTs, we use the enhanced values of Λ' 10Λ  and Φ' 10Φ  , remaining ν  0.149 be unchanged. The two strain terms depend on the radial and circumferential displacement of the tubes, denoted respectively by u i () and v i (), in the form of (Shima and Sato [27] and…”

High-pressure resistance reversibility of polymer composites based on multiwalled carbon nanotubes

“…This behavior has been observed in all studied samples above region (i), in agreement with theoretical predictions for the MWCNT. 17,18 However, the appearance of this feature between different samples indicates a small spread of the pressure values around 1 GPa. For example, as can be seen from Fig.…”

“…Theoretically, this behavior can be explained in the framework of a continuum elastic approximation, where a large number of concentric walls undergo elastic deformation at the critical pressure P C $ 1 GPa, above which the circular shape of the crosssection becomes radially corrugated. 17,18 On the other hand, experimental studies on MWCNT show response up to 20 GPa, using diamond anvil cells. 7 In this regard, hydrostatic pressure provides an ideal condition to investigate the structure elasticity, as well as electrical properties of MWCNT.…”