Perfect elastic-viscoplastic field at mode I dynamic propagating crack-tip |
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Authors: | WANG Zhen-qing LIANG Wen-yan ZHOU Bo SU Juan |
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Institution: | School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China |
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Abstract: | The viscosity of material is considered at propagating crack-tip. Under the assumption that the artificial viscosity coefficient is in inverse proportion to power law of the plastic strain rate, an elastic-viscoplastic asymptotic analysis is carried out for moving crack-tip fields in power-hardening materials under plane-strain condition. A continuous solution is obtained containing no discontinuities. The variations of numerical solution are discussed for mode I crack according to each parameter. It is shown that stress and strain both possess exponential singularity. The elasticity, plasticity and viscosity of material at crack-tip only can be matched reasonably under linear-hardening condition. And the tip field contains no elastic unloading zone for mode I crack. It approaches the limiting case, crack-tip is under ultra-viscose situation and energy accumulates, crack-tip begins to propagate under different compression situations. |
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Keywords: | dynamic propagation elastic-viscoplastic material crack-tip field viscosity |
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