Dynamic Constitutive Model of Fractured Brittle Rock With Fillings Based on Weibull Distribution and High‐Frequency Maxwell

Fractured rocks containing infill materials are frequently encountered in engineering applications, and an understanding of dynamic characteristics is crucial for assessing stability and preventing disasters in rock engineering projects. The novel feature of this paper is that a dynamic constitutive model of fractured rocks with fillings is proposed to reveal the mechanical response mechanism of such rocks under dynamic load impact. This model has been formulated to characterize the dynamic attributes of fractured brittle rocks, utilizing damage elements that adhere to the Weibull distribution and high‐frequency Maxwell elements. The precision of the model has been confirmed through impact testing data obtained from granite samples. In the case of fractured brittle rocks with infill, structural plane factors have been incorporated, leading to the proposal of a macro–micro coupled damage dynamic constitutive model. This model considers both the microscale damage within the rock and the macroscale damage associated with the structural planes. The model parameters have been ascertained through nonlinear fitting techniques, and the validity of the model has been established by comparing its predictions to impact testing data obtained from grouted reinforcement bodies. The ultimate findings indicate that the proposed macro–micro coupled damage dynamic constitutive model is capable of precisely depicting the stress–strain relationship of fractured brittle rocks with infill when subjected to dynamic loading and impact. This model serves as a valuable reference for investigating the dynamic mechanisms of such rocks.