THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANGULAR PLATE UNDER A UNIAXIAL EXTENSION

Authors
Citation
Cj. Cheng et Xc. Shang, THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANGULAR PLATE UNDER A UNIAXIAL EXTENSION, Applied mathematics and mechanics, 18(7), 1997, pp. 615-621
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
02534827
Volume
18
Issue
7
Year of publication
1997
Pages
615 - 621
Database
ISI
SICI code
0253-4827(1997)18:7<615:TGOTVI>2.0.ZU;2-J
Abstract
In the present paper, the finite deformation and stress analysis for a hyperelastic rectangular plate with a center void under a uniaxial ex tension is studied. In order to consider the effect of the existence o f the void on the deformation and stress of the plate, the problem is reduced to the deformation and stress analysis for a hyperelastic annu lar plate and its approximate solution is obtained from the minimum po tential energy principle. The growth of the cavitation is also numeric ally computed and analysed.