Nonlinear modeling of cables with flexural stiffness.
Lacarbonara, Walter, Pacitti, Arnaud (2008)
Mathematical Problems in Engineering
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Lacarbonara, Walter, Pacitti, Arnaud (2008)
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Chang-Jiang, Liu, Zhou-Lian, Zheng, Cong-Bing, Huang, Xiao-Ting, He, Jun-Yi, Sun, Shan-Lin, Chen (2011)
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Silva, Demian G., Varoto, Paulo S. (2008)
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Zheng, Y.F., Deng, L.Q. (2010)
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Emilio Silva, Clemens Först, Ju Li, Xi Lin, Ting Zhu, Sidney Yip (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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Although the intellectual merits of computational modelling across various length and time scales are generally well accepted, good illustrative examples are often lacking. One way to begin appreciating the benefits of the multiscale approach is to first gain experience in probing complex physical phenomena at one scale at a time. Here we discuss materials modelling at two characteristic scales separately, the atomistic level where interactions are specified through classical potentials...
Touzé, Cyril, Camier, Cédric, Favraud, Gaël, Thomas, Olivier (2008)
Mathematical Problems in Engineering
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Hosking, R. J. (2000)
Journal of Applied Mathematics and Decision Sciences
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Ahmed, Mousa Khalifa (2009)
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Tolou, N., Herder, J.L. (2009)
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Alessandro Turco, François Alouges, Antonio DeSimone (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the -convergence results on which our numerical algorithm are based, and numerical implementation. Two possible choices of boundary conditions, needed to recover Young's law for the contact angle, are presented. We also consider an extension of the classical theory of capillarity, in which the introduction of a dissipation mechanism can explain and predict...