Dynamic response at the terminus of oblique intersecting joints subjected to stress waves

To investigate the dynamic response at the terminus of oblique intersecting joints subjected to stress waves, a comprehensive approach integrating theoretical derivation, numerical computation, and experimental validation was used. A hyperbolic constitutive model of joints was introduced. The propagation equation for stress waves impinging upon nonlinear oblique intersecting joints was derived based on the superposition principle. A mechanical model of J 2 was constructed. The auxiliary function of δ function was selected as the incident wave. The calculation formula for stress and displacement at the terminus of oblique intersecting joints was derived using the Westergaard complex analytical function. Concurrently, cement mortar rock‐like samples with oblique intersecting joints were fabricated. It was found that the time‐history curves, the peak‐value laws, and the influencing characteristics of joint nonlinearity on σ x and σ y at the four feature points at the terminus of J 2 are in good agreement with the results of experimental validation. The results indicated that the stress contour at the terminus of oblique intersecting joints forms a closed loop, suggesting that the stress increases as the distance to the joint terminus decreases. σ x is prone to inducing tensile rupture in the 315° directions. At the same location at the terminus of J 2 , the magnitude of σ y is lower than that of σ x . The stress contour of τ xy with the same gradient forms two closed loops, resulting in doubling of the initiation positions of shear rupture. The displacement contour at the terminus of oblique intersecting joints shows a divergent pattern, suggesting that the displacement decreases as the distance to the joint terminus decreases. The displacement fields of u and v do not show a symmetrical distribution along the interface of J 2 . The u displacement field undergoes a counterclockwise rotation around the right‐hand endpoint of J 2 . The direction of zero displacement undergoes a significant change from 30° to 60°, leading to a change in the direction of shear crack propagation. The present study provides a foundational framework for analyzing the propagation characteristics of stress waves incident on naturally jointed rock masses. It facilitates investigations into the fracture mechanisms of naturally jointed rock masses subjected to stress waves.