Crack Propagation in the Power-Law Nonlinear Viscoelastic Material

Zhang Shuangyin; Xiong Dianyuan

Volume 18 Issue 11

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(11): 993-999

Zhang Shuangyin, Xiong Dianyuan. Crack Propagation in the Power-Law Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(11): 993-999.

Citation:

Zhang Shuangyin, Xiong Dianyuan. Crack Propagation in the Power-Law Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(11): 993-999.

Citation:

Zhang Shuangyin, Xiong Dianyuan. Crack Propagation in the Power-Law Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(11): 993-999.

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Crack Propagation in the Power-Law Nonlinear Viscoelastic Material

Institute of Mechanics, Chinese Academy of Science, Beijing 100080, P. R. China

Received Date: 1995-10-25
Rev Recd Date: 1997-06-22
Publish Date: 1997-11-15

Abstract

Abstract

An analysis on crack creep propagation problem of power-law nonlinear viscoelastic materials is presented, The creepincom pressibility assumption is used,To simulate fracture behavior of craze region, it is assumed that in the fracture process zone near the crack tip, the cohesive stress б_f acts upon the crack surfaces and resists crack opening. Through a perturbation method, i, e.,by superposing the Mode-I applied force onto a referential uniform stress state, which has a trivial solution and gives no effect on the solution of the original problem,the nonlinear viscoelastic problem is reduced to linear problem, For weak non-linear materials, for which,the power-law ind,ea n≌1, the expressions of stress and crack surface displace went are derived. Then, the fracture process zone local energy criterion is proposed and on the basis of which the for mulae of crac-king incubation time t^* and crack slow propagation velocity a are derived.
- nonlinear viscoelasticity,
- creep inco mpressibility,
- perturbation method,
- crack propagation,
- crack incubation time

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References(6)

References

[1]	W,G,Knauss,Delayed fracture-the Griffith problem for linearly viscoelastic materials,Int,J.Fract,6(1)(1970),7-20.
[2]	R.A,Schapery,A theory of crack initiation and growth in viscoelastic medium: I.theoretical development,Inter,J.Fract,11(1)(1975),141-159.
[3]	M,Y,He and J,W,Hutchinson,The penny-shaped crack and the plane strain crack in an infinite body of power-law materials,TRANS,J.Appl,Mech,48(4)(1981),830-840.
[4]	G,A,C,Graham,The correspondence principle of linear vis}oelastic theory for mixed mode boundary value problems involving time-dependent boundary regions,Quart.Appl,Math,26(2)(1968),167-174.
[5]	W,N.Findley,et al,Creep and Relaxation of Nonlinear Vriscoelastic Theory for Materials,North-Holland Pub,Co,(1976).
[6]	A,C,Pipkin and T,G,Rogers,A nonlinear integral representation for viscoelastic behaviour,J.Mech,Phy,Solids,16(1)(1968),59-72,

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