Perfect elastic-viscoplastic field at mode Ⅰ
dynamic propagating crack-tip
WANG Zhen-qing;LIANG Wen-yan;ZHOU Bo;SU Juan
【期刊名称】《应用数学和力学（英文版）》 【年(卷),期】2007(028)004
【摘要】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.
【总页数】6页(495-500)
【关键词】dynamic propagation;elastic-viscoplastic material;crack-tip field;viscosity
Perfect elastic-viscoplastic field at mode Ⅰ dynamic propagating crack-tip
