Evolution of localized folding for a thin elastic layer in a softening visco-elastic medium

被引:31
作者
Hunt, GW [1 ]
Muhlhaus, HB [1 ]
Whiting, AIM [1 ]
机构
[1] CSIRO,DIV EXPLORAT & MIN,PERTH,WA,AUSTRALIA
关键词
localized folding; softening visco-elastic medium; instability of layer;
D O I
10.1007/BF00876491
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Long compressed elastic struts on softening elastic foundations have a tendency to buckle locally. The same tendency is demonstrated here for the instantaneous response of elastic struts supported by visco-elastic media. A governing nonlinear partial differential equation is derived to describe the evolution of the localized form in time. Under the assumed constant end-shortening this is found to be approximated by a coupled set of seven ordinary differential (diffusion) equations. As the load drops to zero, the localized buckle pattern evolves towards the form of the single long wave, but remains aperiodic for all time. Three-dimensional plots show how this localized pattern changes over time.
引用
收藏
页码:229 / 252
页数:24
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