期刊
COMPTES RENDUS MECANIQUE
卷 338, 期 12, 页码 656-662出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2010.07.019
关键词
Dynamics of rigid or flexible systems; Shell; Inflating; Volume; Mylar balloon; Short transformation
类别
We discuss the inflating of a closed thin shell made of inextensible flexible material like mylar The problem is to determine the extremal form of the shell when it is inflated to the maximal possible volume We introduce a variational problem which describes the inflating of rotationally symmetric shells The main result presents a criteria for a rotationally symmetric shell to admit volume increasing deformations without surface stretching Moreover explicit solutions are found for cylindrical and biconical shells (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved
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