Buckling of nano-fibre reinforced composites: a re-examination of elastic buckling

Parnes, R.; Chiskis, A.

doi:10.1016/s0022-5096(01)00101-6

Cited by 78 publications

(52 citation statements)

References 19 publications

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“…Furthermore, Su et al [17] studied the buckling behavior of multiple minerals in the nanostructure, considering the coupling of deformation among adjacent minerals. They showed that there are two typical buckling modes-one is antisymmetric mode which occurs at small aspect ratio, and the other one is symmetric mode which occurs at relatively large aspect ratio; for very large aspect ratio, the buckling strength of both symmetric and antisymmetric modes approached to that of continuous-fiber reinforced composite given by the Rosen model [18,19]. They also showed that the structural hierarchy enhances the buckling strength of biological materials.…”

Section: Introductionmentioning

confidence: 99%

Buckling Behaviors of Staggered Nanostructure of Biological Materials

Bai

2015

Journal of Applied Mechanics

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The nanostructure of biological materials is built with hard mineral crystals embedded in soft protein matrix in a staggered manner. The staggered arrangement of the crystals is assumed to be critically important for the stability of the nanostructure. But the mechanism is not fully understood. In this paper, a mechanical model, considering the effects of overlapping ratio between the crystals, i.e., the staggering position, is developed for analyzing the buckling behaviors of the nanostructure. It is found that the buckling strength increases with the overlapping ratio k in the range of 0-1/2 and reaches a peak value at k ¼ 1/2 that is generally adopted by nature's design of the biological materials. The effect of aspect ratio and volume fraction of mineral crystals are further analyzed at various overlapping ratios, and the results are in general consistent with previous studies for the case of k ¼ 1/2. In addition, the lower and upper limits of the buckling strength are obtained. Finally, we show that the contact between mineral tips can significantly enhance the buckling strength of the nanostructure when the aspect ratio of minerals is small.

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Section: Introductionmentioning

confidence: 99%

Buckling Behaviors of Staggered Nanostructure of Biological Materials

Bai

2015

Journal of Applied Mechanics

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“…This coupled, macro-to-micro approach revealed that one of the primary modeling obstacles was the selection of the relevant size of the representative volume element. Using a strictly continuum approach, Parnes, et al 5 modeled the influence of reinforcement volume fraction on inplane buckling of a composite plate. In Parnes study, it was assumed that carbon nanotube reinforced polymers would behave in a similar manner to the predicted behavior of dilute or low volume fraction composites.…”

Section: American Institute Of Aeronautics and Astronauticsmentioning

confidence: 99%

Predicting the Influence of Nano-scale Material Structure on the In-plane Buckling of Orthotropic Plates

Gates¹,

Odegard²,

Nemeth³

et al. 2004

45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics &Amp;amp; Materials Conference

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A multi-scale analysis of the structural stability of a carbon nanotube-polymer composite material is developed. The influence of intrinsic molecular structure, such as nanotube length, volume fraction, orientation and chemical functionalization, is investigated by assessing the relative change in critical, in-plane buckling loads. The analysis method relies on elastic properties predicted using the hierarchical, constitutive equations developed from the equivalent-continuum modeling technique applied to the buckling analysis of an orthotropic plate. The results indicate that for the specific composite materials considered in this study, a composite with randomly orientated carbon nanotubes consistently provides the highest values of critical buckling load and that for low volume fraction composites, the nonfunctionalized nanotube material provides an increase in critical buckling stability with respect to the functionalized system. I. IntroductionDevelopment of high-stiffness and high-strength materials is an important part of the quest to advance aerospace vehicle structures. As a relatively new class of materials, single-walled carbon nanotube (SWNT) -reinforced polymer composites provide many opportunities to demonstrate the performance potential of nanostructured materials for use in structural applications. In particular, SWNT materials have demonstrated the potential for order-of-magnitude increases in strength and stiffness relative to standard carbon-fibers used in typical polymeric composites.

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“…Ru [2000a;2000b] proposed the buckling analysis of CNTs with shell models. Parnes and Chiskis [2002] investigated elastic buckling of nanofiber reinforced composites with elastic beam theory. Wang and coworkers [Wang and Varadan 2005;Wang et al 2005b] have investigated global and local instability or kinks of CNTs with elastic beam models.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal continuum models for carbon nanotubes subjected to static loading

Wang

Shindo

2006

JOMMS

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Static and buckling analyses of carbon nanotubes (CNTs) are carried out with newly developed nonlocal continuum models. Small-scale effects are explicitly derived for bending deformation solutions for CNTs subjected to general flexural loading first. Solutions via nonlocal continuum models are expressed by simple terms related to scale coefficients in addition to remaining terms via local continuum models in which the simplicity of the nonlocal continuum models is clearly observed. Discussions on various derivations of Young's modulus for CNTs from existing experimental work in the literature are provided, revealing the applicability of the nonlocal continuum models. In addition, a simple equation for the buckling load of CNTs with various general boundary conditions subject to axial loading via the nonlocal elastic beam model is explicitly derived for instability analysis. The results of this research provide benchmark solutions for the response of CNTs subject to general static loading, with small-scale effects modeled and revealed. Thus, the work has great potential in studying mechanical properties of CNTs of various sizes.

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Buckling of nano-fibre reinforced composites: a re-examination of elastic buckling

Cited by 78 publications

References 19 publications

Buckling Behaviors of Staggered Nanostructure of Biological Materials

Buckling Behaviors of Staggered Nanostructure of Biological Materials

Predicting the Influence of Nano-scale Material Structure on the In-plane Buckling of Orthotropic Plates

Nonlocal continuum models for carbon nanotubes subjected to static loading

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