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
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.