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Published May 22, 2013 | Published
Journal Article Open

Multiscale Mass-Spring Models of Carbon Nanotube Arrays Accounting for Mullins-like Behavior and Permanent Deformation


Based on a one-dimensional discrete system of bistable springs, a mechanical model is introduced to describe plasticity and damage in carbon nanotube (CNT) arrays. The energetics of the mechanical system are investigated analytically, the stress-strain law is derived, and the mechanical dissipation is computed, both for the discrete case as well as for the continuum limit. An information-passing approach is developed that permits the investigation of macroscopic portions of the material. As an application, the simulation of a cyclic compression experiment on real CNT foam is performed, considering both the material response during the primary loading path from the virgin state and the damaged response after preconditioning.

Additional Information

© 2013 Society for Industrial and Applied Mathematics. Received by the editors April 10, 2012; accepted for publication (in revised form) February 21, 2013; published electronically May 22, 2013. This author acknowledges the support of the German Research Community (DFG) through grant BL 512 4/1. This author acknowledges financial support from the University of Salerno through the FARB 2012 grant. The third author gratefully acknowledges the U.S. Department of Defense and the Army Research Office for their support via a National Defense Science & Engineering Graduate (NDSEG) fellowship. The fourth author acknowledges support from the Institute for Collaborative Biotechnologies under contract W911NF-09-D-0001 with the Army Research Office. The authors gratefully acknowledge the support received from Ada Amendola (Department of Civil Engineering, University of Salerno) during the course of the present work.

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