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

引用

页码：7 / 20

页数：14

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