Spatial behaviour in plane incompressible elasticity on a half-strip

被引：3
|
作者：
Knops, RJ [1 ]
Villaggio, P
机构：
[1] Heriot Watt Univ, Dept Math, Edinburgh, Midlothian, Scotland
[2] Univ Pisa, Dipartimento Ingn Stutturale, Pisa, Italy
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2000年 / 58卷 / 02期
关键词：
D O I：
10.1090/qam/1753404
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.
引用
收藏
页码：355 / 367
页数：13
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