压-剪混合型定常扩展裂纹尖端的弹黏塑性场
The Elastic-viscoplastic Field At The Mixed-mode Steadily Propagating Crack-Tip Under Compression And Shear
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摘要: 假定黏性系数与塑性等效应变率的幂次成反比，考虑其黏性和裂纹面摩擦接触效应建立了压-剪混合型定常扩展裂纹尖端弹黏塑性场的渐近方程，求得了裂纹尖端场不含应力、应变间断的数值解. 并讨论了压-剪混合型裂纹数值解随各个参数的变化规律，计算结果和分析表明，压-剪混合型裂纹尖端场是满塑性的，不含有弹性卸载区，黏性效应是研究扩展裂纹尖端场时的一个重要因素.无论混合裂纹趋近I型还是趋近II型，静水压力随摩擦系数的增加都是增加的,裂纹面摩擦效应是阻止裂纹扩展速度的因素，且摩擦作用越强，裂纹尖端场的韧性越高.Abstract: Under the assumption that the artifical viscosity cofficient is in inverse proportion to power law of the plastic strain rate.The friction touch effection beween viscosity and crack-tip surface be considerde,the asymptotic solution is established for elastic-viscoplastic field at the mixed-mode propagating crack-tip under comprission and shear.The numerical solution to crack-tip without stress and stain gap is got. The variation of numerical solution are discussed for the mixed-mode under compression and shear according to each parameter.It is shown in numerical results and analysis that for the mixed-mode crack-tip field under compressing and shear is whole plastic without elatic unloaded section,viscosity effection is an important factor when propagating crack-tip field is studied, whether the mixed-mode crack trend to mode I or to mode II,the hydro-statil stresses are added according to the increasing on frictional coefficient. The crack-tip propagating velocity is prevented due to the frictoon on crack face,the tenacity on crack-tip freld become more higher with the more strorger on friction.Keywords: mixed-mode crack-tip under compression and shear; steadily propagating; viscosity effectionelastic-viscoplastic materials
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Keywords:
- 压-剪混合型裂纹, 定常扩展,黏性效应, 弹黏塑性材料
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