The Plane Stress Crack-Tip field for an Incompressible Rubber Material

Shi Zhi-fei; Gao Yu-chen

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Shi Zhi-fei, Gao Yu-chen. The Plane Stress Crack-Tip field for an Incompressible Rubber Material[J]. Applied Mathematics and Mechanics, 1994, 15(5): 471-477.

Citation:

Shi Zhi-fei, Gao Yu-chen. The Plane Stress Crack-Tip field for an Incompressible Rubber Material[J]. Applied Mathematics and Mechanics, 1994, 15(5): 471-477.

Citation:

Shi Zhi-fei, Gao Yu-chen. The Plane Stress Crack-Tip field for an Incompressible Rubber Material[J]. Applied Mathematics and Mechanics, 1994, 15(5): 471-477.

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The Plane Stress Crack-Tip field for an Incompressible Rubber Material

Shi Zhi-fei¹,
Gao Yu-chen²

1.
Harbin Shipbuilding Engineering Institute, Harbin

Received Date: 1993-10-31
Publish Date: 1994-05-15

Abstract

Abstract

The crack-tip field under plane stress condition for an incompressible rubber material^[1] is investigated by.the use of the fully nonlinear equilibrium theory.It is found thai the crack-tip field is composed of two shrink sectors and one expansion se-ctor.At the crack-tip,stress and strain possess the singularity of R^-1 and R^-1n,respec-tively,(R is the distance to the crack-tip before deformation,n is the material const-ant).When the crack-tip is approached,the thickness of the sheet shrinks to zerowith the order of R^1.4n.The results obtained in this paper are consistent with that ob-tained in [8] when s→χ.
- incompressible material,
- plane stress condition,
- crack-tip field,
- fully nonlinear equilibrium theory

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References(5)

References

[1]	Gao,Y.C.,A constitutive relation of rubber-like materials(to be published).
[2]	Knowles,J.K.,and E,Stern berg,An asp mptotic finite dEformation analysis of the elastostatic field near the tip of a crack,J,Elas.,(1973).
[3]	Knowles,J.K.and E Stcrnbcrg.An asymptom finite deformation analysis of the elastostatic field near the tip of a crack,J.of Elas.3(1973),67
[4]	Gao Y.C.,Elastostatic crack tip behavior for a rubber-like material,Theoretical and Aflblied Fracture Mechanics,14(1990).
[5]	Gao,Y.C.,and D,Durban,The crack tip field in a rubber-like thin sheet(to appear).