Elasticity of randomly diluted central force networks under tension
學年 92
學期 1
出版(發表)日期 2003-11-01
作品名稱 Elasticity of randomly diluted central force networks under tension
作品名稱(其他語言)
著者 Zhou, Zicong; Joós, Béla; Lai, Pik-Yin
單位 淡江大學物理學系
出版者 College Park: American Physical Society
著錄名稱、卷期、頁數 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 68(5), 055101(R)(4pages)
摘要 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.
關鍵字 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
語言 en
ISSN 1539-3755
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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