The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension

Cheng Changjun; Shang Xinchun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 573-578

Cheng Changjun, Shang Xinchun. The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J]. Applied Mathematics and Mechanics, 1997, 18(7): 573-578.

Citation:

Cheng Changjun, Shang Xinchun. The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J]. Applied Mathematics and Mechanics, 1997, 18(7): 573-578.

Citation:

Cheng Changjun, Shang Xinchun. The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J]. Applied Mathematics and Mechanics, 1997, 18(7): 573-578.

PDF( 375 KB)

The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension

Cheng Changjun^1,2,
Shang Xinchun²

1.
Shanghai University, Shanghai 200072, P. R. China;
2.
Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 1996-12-18
Publish Date: 1997-07-15

Abstract

Abstract

In the presenl paper, the finite deformation and stress analysis for a hyperelasticrectangular plate with a center void under a uniaxial extension is studied. In order toconsider the effect of the existence of the void on the deformation and stress of theplate, the problem is reduced to the deformation and stress analysis for a hyperelustic annular plate and its approximate solution is obtained from the minimum potential energy principle. The growth of the cavitation iS also nunterically computed and analysed.
- hyperelastic rectangular plate,
- finite deformation,
- growth of void,
- variational principle

FullText(HTML)

References(9)

References

[1]	J,M,Ball,Discontinuous equilibrum solution and cavitation in elasticity,Phil.Trans,Rod,Soc,London,A30(1982),557-610.
[2]	C,O,Horgan and J.J.Pence,Cavity for mation at the center of a composite imcompressible nonlinearly elastic sphere,J.Appl.Mech.,50(1989)302-308.
[3]	Hou Hangsheng,A study of combined asymmetric and cavitated bifurcation in Neo-Hookey material under symmetric dead loading,J,Appl.Mech.,60 (1993),1-7.
[4]	P,Podio-Guidugli,C.G.Vergarm and E,G.Yirga,Discontinuous energy minimizers in non-linear elastostatics; An example of J.Ball revisited,J.Elasticity,1(1986),75-96.
[5]	D,A,Pol ignone and C.O.Horgan,Effect of material anisotropy and inhomogencity on cavitation for composite imcompressible nonlinear elastic spheres,3(1993),3381-3416.
[6]	C,D,Horgan and R.Abeyaratue,A bifurcation problem for a compressible nonlinear elastic medium,growth of a micro-void,J.Elasticitb,1(1986),189-200.
[7]	D,M.Haughton,Cavitation in compressible elastic membrances,Int.J.Engng,Sci.,2(1990),163-168.
[8]	T.T,Oden,Finite Elements of Nonlinear Continua,McGraw-Hill,New York(1972).
[9]	R.T.Shield,Equilibira solution in finite elasticity,ASME J.Appd.Mech.,50th Anniversarv Issue(1983).