FRACTAL CRUSHING OF ICE AND BRITTLE SOLIDS

被引:79
作者
PALMER, AC [1 ]
SANDERSON, TJO [1 ]
机构
[1] BP INT LTD,LONDON EC2Y 9BU,ENGLAND
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1991年 / 433卷 / 1889期
关键词
D O I
10.1098/rspa.1991.0060
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A significant 'scale effect' is observed when sea ice forces on structures are measured at field scale: the force per unit contact area is not independent of area, but decreases with increasing area. Fragments of broken materials are found to have a fractal size distribution, with a fractal dimension close to 2.5 over a remarkably wide range of fragment size. The research described in this paper brings these two observations together, and shows that they can be explained by a simple model of crushing, which incorporates the relation between fragment size and splitting force predicted by linear elastic fracture mechanics. The model indicates a special role for the fractal dimension of 2.5, and predicts a relation between force and area, consistent with field observations.
引用
收藏
页码:469 / 477
页数:9
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