期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 50, 期 9, 页码 1241-1252出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2012.12.017
关键词
Shallow shells; Nonlinear plates; Multistability; Lightweigth reduced models
类别
The problem of deducing, from the Foppl-Von Karman energy functional, a sequence of reduced discrete models having few degrees of freedom is analyzed. Similar discrete models have been recently intensively studied to analyze the multistable behavior of shallow shells, the bifurcations of composite laminates under temperature loads or the wrinkling in soft tissues. In particular three relevant examples are discussed and compared among them, where the curvature is assumed uniform, linearly and quadratically varying through the shell. While the uniform-curvature assumption dates back to Mansfield (1962), linear variations of the shell curvatures can describe smooth transitions between everted configurations, while quadratic variations can account for the, usually disregarded, bending boundary conditions. For their deduction we revisit the Maxwell-Mohr method: accordingly, a sequence of auxiliary elliptic problems of plane elasticity is solved to determine the statically unknown membranal stresses. This is a key ingredient for the presented models to compare extremely well with Finite Element approximations or with literature models with far more degrees of freedom. (C) 2013 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据