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THE ASYMPTOTIC SOLUTION TO THE ANTIPLANE SHEAR dynamicCRACK-TIP FIELD IN AN ELASTIC STRAIN-SOFTENING VISCOPLASTIC MATERIAL

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Applied Mathematics and Mechanics(English Edition) 1997年第2期18卷 173-179页

作者：李范春齐辉 Harbin Engineering University Harbin P. R. China

The elastic strain softening-viscoplastic model is given in this paper. Using this model, the asymptotic stress and strain equations surrounding the tip of a propagating crock are given and numerical results ale obtained under antiplane shear. The analysis and calculation show that at the crack tip the strain possesses logarithmic singularity (ln(R/r))(1/(n+1)) while the stress is like (ln(R/r))(-n/(n+1)), therefore the asymptotic behaviour of the elastic strain-softening viscoplastic field is revealed under the antiplane shear.

关键词： crack-tip field dynamic propagating strain softening

ELASTIC-VISCOPLASTIC FIELDS NEAR THE TIP OF A propagating CRACK UNDER ANTI-PLANE SHEAR

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Applied Mathematics and Mechanics(English Edition) 2004年第9期25卷 1075-1082页

作者：李范春赵文胜汤龙生 Marine Engineering College Dalian Maritime University The 31th Institute of CASIC

The elastic-viscoplastic model proposed by Bingham was used to analyse the stress and strain surrounding the tip of a propagating crack under antiplane *** proper displacement pattern was given;the asymptotic equations were derived and solved *** analysis and calculation show that for smaller viscosity the crack-tip possesses logarthmic singularity,and for larger viscosity it possesses power-law *** critical case,the two kinds of singularity are consistent with each *** result revealed the important role of viscosity for crack-tip field.

关键词： crack-tip field dynamic propagating viscoplastic

Asymptotic analysis of mode Ⅰ propagating crack-tip field in a creeping material

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Journal of Marine Science and Application 2003年第1期2卷 76-80,86页

作者： WANG Zhen-qing, ZHAO Qi-cheng, LIANG Wen-yan, FU Zhang-jian School of Civil Engineering,Harbin Engineering University,Harbin 150001, China School of Civil Engineering Harbin Engineering UniversityHarbin 150001 China

Adopting an elastic-viscoplastic, the asymptotic problem of mode I propagat ing crack-tip field is investigated. Various asymptotic solutions resulting from the analysis of crack growing programs are presented. The analysis results show that the quasi-statically growing crack solutions are the special case of the dynamic propagating solutions. Therefore these two asymptotic solutions can be unified.

关键词： elastic-viscoplastic material viscosity coefficient quasi-static growth dynamic propagating