Viscoplastic Solution to the Field at Steadily Propagating Crack Tip in Linear-Hardening Materials

JIA Bin; WANG Zhen-qing; LI Yong-dong; LIANG Wen-yan

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(4): 470-476

JIA Bin, WANG Zhen-qing, LI Yong-dong, LIANG Wen-yan. Viscoplastic Solution to the Field at Steadily Propagating Crack Tip in Linear-Hardening Materials[J]. Applied Mathematics and Mechanics, 2006, 27(4): 470-476.

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Viscoplastic Solution to the Field at Steadily Propagating Crack Tip in Linear-Hardening Materials

1.
School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China;
2.
Architectural Engineering College, Harbin Engineering University, Harbin 150001, P. R. China;
3.
Mechanical Engineering Department, Armored Forces Engineering Institute, Beijing 100072, P. R. China

Received Date: 2004-06-23
Rev Recd Date: 2006-01-11
Publish Date: 2006-04-15

Abstract

Abstract

An elastic-viscoplastic constitutive model was adopted to analyze asymptotically the tipfield of moving crack in linear-hardening materials under plane strain condition.Under the assumption that the artificial viscosity coefficient was in inverse proportion to power law of the rate of effective plastic strain,it is obtained that stress and strain both possess power law singularity and the singularity exponent is uniquely determined by the power lawexponent of the rate of effective plastic strain.Variations of zoning structure according to each material parameter were discussed by means of numerical computation for the tip-field of modeòdynamic propagating crack,which show that the structure of crack tip field is dominated by hardening coefficient rather than viscosity coefficient.The secondary plastic zone can be ignored for weak hardening materials while the secondary plastic zone and the secondary elastic zone both have important influence on crack tip field for strong hardening materials.The dynamic solution approaches to the corresponding quasi-static solution when the crack moving speed goes to zero,and further approaches to the HR (Hui-Riedel) solution when the hardening coefficient is equal to zero.
- quasi-static propagation,
- dynamic propagation,
- linear-hardening material,
- elasticviscoplastic material,
- crack-tip field

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References(11)

References

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