Viscous Control of Peeling an Elastic Sheet by Bending and Pulling

被引:92
作者
Lister, John R. [1 ]
Peng, Gunnar G. [1 ]
Neufeld, Jerome A. [2 ]
机构
[1] Univ Cambridge, Inst Theoret Geophys, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Cambridge, Dept Earth Sci, Dept Appl Math & Theoret Phys, BP Inst,Bullard Labs, Cambridge CB3 0EZ, England
关键词
PROPAGATION; MECHANICS; GRAVITY;
D O I
10.1103/PhysRevLett.111.154501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Propagation of a viscous fluid beneath an elastic sheet is controlled by local dynamics at the peeling front, in close analogy with the capillary-driven spreading of drops over a precursor film. Here we identify propagation laws for a generic elastic peeling problem in the distinct limits of peeling by bending and peeling by pulling, and apply our results to the radial spread of a fluid blister over a thin prewetting film. For the case of small deformations relative to the sheet thickness, peeling is driven by bending, leading to radial growth as t(7/22). Experimental results reproduce both the spreading behavior and the bending wave at the front. For large deformations relative to the sheet thickness, stretching of the blister cap and the consequent tension can drive peeling either by bending or by pulling at the front, both leading to radial growth as t(3/8). In this regime, detailed predictions give excellent agreement and explanation of previous experimental measurements of spread in the pulling regime in an elastic Hele-Shaw cell.
引用
收藏
页数:5
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