The Elastic-viscoplastic Field At The Mixed-mode Steadily Propagating Crack-Tip Under Compression And Shear

The research of crack-tip fields is one of the most important task of fracture mechanics. Under the assumption that the artificial viscosity coefficient is in inverse proportion to power law of the plastic strain rate. The friction touch effection between viscosity and crack-tip surface be considered, the asymptotic solution is established for elastic-viscoplastic field at the mixed-mode propagating crack-tip under compression 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 elastic unloaded section, viscosity effection is an important factor when propagating crack-tip field is studied, whether how much the friction is on the mixed-mode crack, the hydro-static stresses are added according to the increasing on frictional coefficient. The crack-tip propagating velocity is prevented due to the friction on crack face, the tenacity on crack-tip field become more higher with the more stronger on friction.In conclusion, the rationality and effectiveness of the constitutive model applied in the paper are verified through theoretical analyses and corresponding numerical calculations to provide a feasible method for final solutions of the problems of the asymptotic crack-tip field, as well as theoretical references for solutions of the difficult problems encountered in engineering practices.