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

被引:30
作者
Blesgen, T. [1 ]
Fraternali, F. [2 ]
Raney, J. R. [3 ]
Amendola, A. [2 ]
Daraio, C. [3 ]
机构
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[2] Univ Salerno, Dept Civil Engn, I-84084 Fisciano, SA, Italy
[3] CALTECH, Pasadena, CA 91125 USA
关键词
Carbon nanotube arrays; Bistable springs; Multiscale behavior; Mullins effect; Permanent deformation; MECHANICAL-PROPERTIES;
D O I
10.1016/j.mechrescom.2012.07.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:58 / 63
页数:6
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