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

Physics – Mathematical Physics

Scientific paper

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11 pages, 1 figure

Scientific paper

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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