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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27848


    Title: Elasticity of randomly diluted central force networks under tension
    Authors: Zhou, Zicong;Joós, Béla;Lai, Pik-Yin
    Contributors: 淡江大學物理學系
    Keywords: Computer simulation;Elastic moduli;Entropy;Extrapolation;Least squares approximations;Particle size analysis;Percolation (solid state);Random processes;Rigidity;Stress concentration;Stress relaxation;Surface tension;Isotropic lattices;Normalization methods;Random networks;Shear relaxation;Elasticity
    Date: 2003-11-01
    Issue Date: 2013-07-09 15:17:44 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: We study the rigidity of two-dimensional site-diluted central force triangular networks under tension. We calculate the shear modulus μ directly and fit it with a power law of the form μ∼(p-p*)f, where p is the concentration of sites, p* its critical value, and f the critical exponent. We find that the critical behavior of μ is quite sensitive to tension. As the tension is increased there is at first a sharp drop in the values of both p* and f, followed by a slower decrease towards the values of the diluted Gaussian spring network (or random resistor network). We find that the size of the critical region is also sensitive to tension. The tension-free system has a narrower critical regime with the power law failing for p>0.8. In contrast, a small tension is sufficient to extend the power law to near p=1. The physical basis for these behaviors is discussed.
    Relation: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 68(5), 055101(R)(5pages)
    DOI: 10.1103/PhysRevE.68.055101
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