The failure mechanism of rock-concrete-like material due to rebar corrosion and uniform shear at infinity is investigated. Based on the series expansion technology in the complex potential theory established by Muskhehshvili, the complex stress functions can be established. Then, in conjunction with the principle of superposition, the expression of tangential stress in rock-concrete-like material may be analytically deduced. Furthermore, by considering Faraday's equation, the equation of the time of rock-concrete-like material cracking due to rebar corrosion under transverse seismic response is obtained. It is found that the applied shear at infinity may accelerate the initiation of cracks. The existence of corrosion product can change the location of cracking. The ratio of the shear modulus between the reinforced bar and the rock-concrete-like material has little effect on the initiation of cracking. The possibility of rock-concrete-like material cracking increases with the increase of the relative corrosion depth.
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