WANG Zhen-qing, LIANG Wen-yan, ZHOU Bo, SU Juan. Perfect Elastic-Viscoplastic Field at Mode Ⅰ Dynamic Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 2007, 28(4): 447-452.
Citation: WANG Zhen-qing, LIANG Wen-yan, ZHOU Bo, SU Juan. Perfect Elastic-Viscoplastic Field at Mode Ⅰ Dynamic Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 2007, 28(4): 447-452.

Perfect Elastic-Viscoplastic Field at Mode Ⅰ Dynamic Propagating Crack-Tip

  • Received Date: 2005-07-20
  • Rev Recd Date: 2007-01-06
  • Publish Date: 2007-04-15
  • 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 was carried out for moving crack-tip fields in power-hardening materials under plane-strain condition. A continuous solution was obtained containing no discontinuities. The variations of numerical solution were 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, crackOtip begins to propagate under different compression situations.
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