Abstract: The failure model of young concrete lining and its safety vibration velocity under explosive loading are important problems in hydroelectric and railway engineering. According to the characteristics of the propagation of elastic P wave and SV wave, the P wave and SV wave transmitting in folium concrete lining and their approximately research method were analyzed. Based on Mohr-Coulomb strength criterion, limiting tensile stress and limiting tensile strain strength criterion, the failure model and safety vibration velocity of young concrete lining under explosive loading were studied. The results indicate that the incident stress wave and refractive wave in the lining is the most dangerous to the concrete lining. The reflecting wave produced at the lining interface will decrease the stress in the lining and has an uninstall effect. The safety vibration velocity of lining increases with the rise of the concrete age. Under the effect of P wave, the safety vibration velocity increases with the accretion of the angle of incidence, the shear failure is easy to take place at a big angle of incidence, and the tensile failure is easy to take place at a small angle of incidence. Under the effect of SV wave, the shear failure is easy to take place at a small angle, but tensile failure will appear in a big angle. The higher modulus of elasticity of the surrounding rock is, the lower safety vibration velocity of concrete lining is.

Key words: stress wave, concrete lining, strength criterion, vibration velocity