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Published December 2014 | Published
Journal Article Open

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


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.

Additional Information

© 2015 ASME. 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. We acknowledge financial support from the Institute for Collaborative Biotechnologies (ICB) under the Contract No. W911NF-09-D-0001 with the Army Research Office (ARO). F.F. acknowledges financial support from the Italian Ministry of Foreign Affairs, Grant No. 00173/2014, Italy-USA Scientific and Technological Cooperation 2014–2015 ('Lavoro realizzato con il contributo del Ministero degli A ari Esteri, Direzione Generale per la Promozione del Sistema Paese').

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