Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 2011 | Supplemental Material
Journal Article Open

Multiscale mass-spring models of carbon nanotube foams


This article is concerned with the mechanical properties of dense, vertically aligned CNT foams subject to one-dimensional compressive loading. We develop a discrete model directly inspired by the micromechanical response reported experimentally for CNT foams, where infinitesimal portions of the tubes are represented by collections of uniform bi-stable springs. Under cyclic loading, the given model predicts an initial elastic deformation, a non-homogeneous buckling regime, and a densification response, accompanied by a hysteretic unloading path. We compute the dynamic dissipation of such a model through an analytic approach. The continuum limit of the microscopic spring chain defines a mesoscopic dissipative element (micro-meso transition) which represents a finite portion of the foam thickness. An upper-scale model formed by a chain of non-uniform mesoscopic springs is employed to describe the entire CNT foam. A numerical approximation illustrates the main features of the proposed multiscale approach. Available experimental results on the compressive response of CNT foams are fitted with excellent agreement.

Additional Information

© 2010 Elsevier Ltd. Received 20 April 2010; revised 9 September 2010; accepted 11 September 2010. Available online 30 September 2010. The authors would like to thank Dr. Abha Misra and Dr. Luigi de Nardo for performing the experiments presented in Section 5.2.1. CD acknowledges support from the Institute for Collaborative Biotechnologies under contract W911NF-09-D-0001 with the Army Research Office. FF greatly acknowledges the support of the University Centre for Risk Prediction and Prevention (CUGRI) in association between the Universities of Salerno and Napoli "Federico II", Italy. FF also thanks the Graduate Aerospace Laboratory at the California Institute of Technology (GALCIT) for the hospitality during his visit.

Attached Files

Supplemental Material - Application_A.pdf

Supplemental Material - Movie1.avi

Supplemental Material - Movie2.avi


Files (11.2 MB)
Name Size Download all
2.6 MB Download
8.3 MB Download
313.1 kB Preview Download

Additional details

August 22, 2023
October 23, 2023