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arXiv · 1112.2268

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

T. Blesgen·F. Fraternali·J. R. Raney·A. Amendola·C. Daraio
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Abstract

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.

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T. Blesgen, F. Fraternali, J. R. Raney, A. Amendola, C. Daraio. 2011-12-10. Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage. https://arxiv.org/abs/1112.2268

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