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Published October 2012 | Submitted
Journal Article Open

Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage


Using chains of bistable springs, a model is derived to investigate the plastic behavior of carbon nanotube arrays with damage. We study the preconditioning effect due to the loading history by computing analytically the stress–strain pattern corresponding to a fatigue-type damage of the structure. We identify the convergence of the discrete response to the limiting case of infinitely many springs, both analytically in the framework of Gamma-convergence, as well as numerically.

Additional Information

© 2012 Elsevier Ltd. Received 5 December 2011; Received in revised form 15 July 2012; Available online 27 July 2012. FF acknowledges the support of the Province of Avellino through the grant "Innovative systems for seismic engineering and structural health monitoring". TB acknowledges the support of the German Research Community (DFG) through grant BL 512 4/1. JRR 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. CD acknowledges support from the Institute for Collaborative Biotechnologies under contract W911NF-09-D-0001 with the Army Research Office.

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