The Perfect Elastic-Viscoplastic Field at Mode I Quasi-Static Propagating Crack-Tip in Rate-Sensitive Material

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Under the assumption that the artificial viscosity coefficient at the propagating crack tip is in inverse proportion to power law of the plastic strain rate, a rate-sensitive constitutive relationship is derived for perfect elastic-plastic material. With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of plane strain mode I. And the quasi-static equations are obtained separately governing the stress and strain fields at the crack-tip by means of Airy stress function. Numerical calculations of governing equations are carried out by double parameters shooting, with selections of appropriate values of each characteristic parameter by combinations of boundary, and the fully continuous stress-strain fields are obtained at the crack-tip. The analytical and computational results indicate that viscosity effect is an important factor in crack-tip fields.

Info:

Periodical:

Key Engineering Materials (Volumes 324-325)

Edited by:

M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz

Pages:

17-20

DOI:

10.4028/www.scientific.net/KEM.324-325.17

Citation:

W. Y. Liang et al., "The Perfect Elastic-Viscoplastic Field at Mode I Quasi-Static Propagating Crack-Tip in Rate-Sensitive Material", Key Engineering Materials, Vols. 324-325, pp. 17-20, 2006

Online since:

November 2006

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Price:

$35.00

[1] Hutchinson J W. Singular behaviour at end of tensile crack in a hardening material [J]. Journal of Mechanics and Physics of Solids, 1968, 16(1): 13-21.

DOI: 10.1016/0022-5096(68)90014-8

[2] Rice J.R. Rosengren G F. Plane strain deformation near crack tip in a power law hardening material[J]. Journal of Mechanics and Physics of Solids, 1968, 16(1): 1-12.

DOI: 10.1016/0022-5096(68)90013-6

[3] Chitelay A D. McClintork F A. Elastic-plastic mechanics of steady crack growth under anti-plane shear[J]. Journal of Mechanics and Physics of Solids, 1971, 19(3): 147-163.

DOI: 10.1016/0022-5096(71)90025-1

[4] Jia bin Tang jing Wang zhen qing The perfect elastic-viscoplatic field at the tip of mode III steady propagating crack, J Harbin Eng. Univ., (2004).

[5] Slepyan L I. Growing crack during plane deformation of an elastic-plastic body[J]. Izv. Akad. Nauk. SSSR. Mekhaika Tverdogo Tela. 1974, 9(1): 57-67.

[6] Gao Y C. Elastic-plastic fields at a statically growing crack in perfectly plastic medium[J]. Acta mechanica sinica. 1980, 12(1): 48-56.

[7] Rice J R, Drugan W J, Sham T L. Elastic-plastic analysis of growing crack[J]. Fracture Mechanics: ASTM STP 700. 1980: 189-221.

DOI: 10.1520/stp36972s

[8] Gao Y C. Further study on strain singularity behaviour of moving cracks in elastic-viscoplastic materials[J]. Theoretical and Applied Fracture Mechanics. 1990, 14(3): 120-126.

DOI: 10.1016/0167-8442(90)90022-r

[9] Wang Z Q Fields near a propagating crack-tip in elastic-viscoplastic material Acta mechanica sinica. 1993, 25(3): 159-168.

[10] Wang Z Q . Asymptotic study of mode � propagating crack-tip field in elastic-viscoplastic material[J]. International Conference on Advanced Material: Progress in Advanced Material and Mechanics. 1996, 8: 754-759.

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