A mixed variational principle for the Foppl-von Karman equations

被引：4
|
作者：
Brunetti, Matteo [1 ]
Favata, Antonino [1 ]
Paolone, Achille [1 ]
Vidoli, Stefano [1 ]
机构：
[1] Sapienza Univ Rome, Dept Struct & Geotech Engn, Via Eudossiana 18, I-00184 Rome, Italy
来源：
APPLIED MATHEMATICAL MODELLING | 2020年 / 79卷
关键词：
Foppl-von Karman equations; Variational principles; Weak formulation; VENANT COMPATIBILITY CONDITIONS; PLATE; MODEL;
D O I：
10.1016/j.apm.2019.10.041
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A mixed variational principle is proposed for deducing the Foppl-von Karman equations governing the large deflections of thin elastic plates or shallow shells. Proper boundary conditions are found for the case of applied in-plane tractions and displacements, and simple mechanical interpretations are achieved. Numerical implementation is carried out, along with examples and comparisons with the classical formulation in terms of displacements. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：381 / 391
页数：11
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