Statistical distribution of forces in stressed 2-D low-density materials with random microstructures

被引:11
作者
Chan, S. H. [1 ]
Ngan, A. H. W. [1 ]
机构
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
关键词
foam materials; statistical mechanics; entropy; elasticity; random materials;
D O I
10.1016/j.mechmat.2006.02.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
When a low-density random structure is loaded, the struts inside will not be subject to the same forces because of structural inhomogeneities. The probability distributions of the internal forces in 2-D elastic random structures under axial and shear loadings are investigated in this work using a purposely-built loading setup. The results are compared to the predictions from a statistical-mechanics-based theory in which an entropy functional is used to represent the structural randomness. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1199 / 1212
页数:14
相关论文
共 27 条
[1]  
Ashby M.F., 2000, METAL FOAMS DESIGN G
[2]  
Bagi K, 1997, POWDERS & GRAINS 97, P251
[3]   Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping [J].
Bart-Smith, H ;
Bastawros, AF ;
Mumm, DR ;
Evans, AG ;
Sypeck, DJ ;
Wadley, HNG .
ACTA MATERIALIA, 1998, 46 (10) :3583-3592
[4]   Statistical distribution of contact forces in packings of deformable spheres [J].
Chan, SH ;
Ngan, AHW .
MECHANICS OF MATERIALS, 2005, 37 (04) :493-506
[5]   The influence of aspect ratio of voids on the effective elastic moduli of foamed metals [J].
Chao, LP ;
Huang, JH ;
Huang, YS .
JOURNAL OF COMPOSITE MATERIALS, 1999, 33 (21) :2002-2016
[6]   Yield surfaces for hexagonal honeycombs with plateau borders under in-plane biaxial loads [J].
Chaung, CH ;
Huang, JS .
ACTA MECHANICA, 2002, 159 (1-4) :157-172
[7]   Effect of imperfections on the yielding of two-dimensional foams [J].
Chen, C ;
Lu, TJ ;
Fleck, NA .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1999, 47 (11) :2235-2272
[8]   Elastic moduli and plastic collapse strength of hexagonal honeycombs with plateau borders [J].
Chuang, CH ;
Huang, JS .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (09) :1827-1844
[9]  
Edwards S.F., 1994, GRANUL MATTER, P121
[10]  
Evesque P, 2001, POWDERS AND GRAINS 2001, P153