A mixed DG method for folded Naghdi's shell in Cartesian coordinates

被引：0

作者：

Nicaise, Serge ^{[1
]}

Merabet, Ismail ^{[2
]}

机构：

[1] Univ Valenciennes, LAMV, Valenciennes, France

[2] Univ Kasdi Merbah, LAMA, Ouargla, Algeria

来源：

COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 07期

关键词：

MODEL; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.crma.2015.04.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, a mixed formulation is proposed to solve Naghdi's equations for a thin linearly elastic shell. The unknowns of the problem are the displacement of the points of the middle surface, the rotation field of the normal vector to the middle surface of the shell and a Lagrange multiplier that is introduced in order to enforce the tangency requirement on the rotation. We prove the well posedness of the continuous and the discrete problems. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：653 / 658

页数：6

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