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Research Papers

Multiscale Mass-Spring Model for High-Rate Compression of Vertically Aligned Carbon Nanotube Foams

[+] Author and Article Information
Ramathasan Thevamaran

Division of Engineering and Applied Sciences,
California Institute of Technology,
Pasadena, CA 91125;
Department of Mechanical and
Process Engineering,
Swiss Federal Institute of Technology
(ETH Zurich),
Zurich 8092, Switzerland
e-mail: rthevama@caltech.edu

Fernando Fraternali

Department of Civil Engineering,
University of Salerno,
Fisciano, SA 84084, Italy
e-mail: f.fraternali@unisa.it

Chiara Daraio

Division of Engineering and Applied Sciences,
California Institute of Technology,
Pasadena, CA 91125;
Department of Mechanical and
Process Engineering,
Swiss Federal Institute of Technology
(ETH Zurich),
Zurich 8092, Switzerland
e-mail: daraio@ethz.ch

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 11, 2014; final manuscript received October 8, 2014; accepted manuscript posted October 13, 2014; published online October 27, 2014. Editor: Yonggang Huang.

J. Appl. Mech 81(12), 121006 (Oct 27, 2014) (6 pages) Paper No: JAM-14-1360; doi: 10.1115/1.4028785 History: Received August 11, 2014; Revised October 08, 2014; Accepted October 13, 2014

We present a one-dimensional, multiscale mass-spring model to describe the response of vertically aligned carbon nanotube (VACNT) foams subjected to uniaxial, high-rate compressive deformations. The model uses mesoscopic dissipative spring elements composed of a lower level chain of asymmetric, bilateral, bistable elastic springs to describe the experimentally observed deformation-dependent stress–strain responses. The model shows an excellent agreement with the experimental response of VACNT foams undergoing finite deformations and enables in situ identification of the constitutive parameters at the smaller lengthscales. We apply the model to two cases of VACNT foams impacted at 1.75 ms−1 and 4.44 ms−1 and describe their dynamic response.

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Figures

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Fig. 1

Schematic diagram showing the response of a generic mesoscopic dissipative spring element and the relevant constitutive parameters

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Fig. 2

Description of the model for the sample impacted at 1.75 ms−1. (a) Schematic of the experiment showing the sample being compressed by the striker against the rigidly mounted force sensor. (b) Three different models considered for the sample. (c) Optical images showing the pristine and deformed states of the sample [7]. Markers are used to highlight the deformed and undeformed sections of the sample.

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Fig. 3

Comparison of the numerical and experimental results of stress–time histories, displacement–time histories, and stress–strain response for (a) model-1, (b) model-2, and (c) model-3 of the VACNT foam-1

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Fig. 4

(a) Optical images selected from the high-speed camera sequence showing the sample VACNT foam-2 before the impact (pristine state), at its maximum deformation (deformed state) and after load release (recovered state) [6]. The schematic diagram on the right shows the model employed and its relevant parameters. This sample was impacted at 4.44 ms−1. (b) Comparison of the numerical and experimental results for the stress–time history, displacement–time history and stress–strain response.

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