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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Communicated by WANG Yin-bang
Project supported by the Ph. D. Programs Foundation of Ministry of Education of China (No.20060217010)
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Wang, Zq., Liang, Wy., Zhou, B. et al. Perfect elastic-viscoplastic field at mode I dynamic propagating crack-tip. Appl Math Mech 28, 495–500 (2007). https://doi.org/10.1007/s10483-007-0410-x
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DOI: https://doi.org/10.1007/s10483-007-0410-x