Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity

被引：13
|
作者：
Steigmann, David J. [1 ]
Ogden, Ray W. [2 ,3 ]
机构：
[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
[2] Univ Aberdeen, Sch Engn, Aberdeen AB24 3UE, Scotland
[3] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QW, Lanark, Scotland
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2014年 / 94卷 / 1-2期
关键词：
Plate buckling; incremental elasticity; elastic stability;
D O I：
10.1002/zamm.201200160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff-Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are stated precisely. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：7 / 20
页数：14
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