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Study on the Interaction Between Blasting Stress Waves with Different Incidence Angles and Crack

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Abstract

To better study rock blasting in engineering and the initiation and propagation behavior of the pre-existing crack under blasting stress waves, large-scale rock models containing a thorough centric crack were numerically blasted, using the LS-DYNA and HYPERMESH software for solving, modeling and meshing as well as adding keywords, respectively. The rock material chosen for the present study was granite, and the Holmquist–Johnson–Cook (HJC) model was applied to carry out numerical simulations. To study the influence of incident angle of blasting stress wave, there were four groups of modes in all designed with different borehole positions, labeled as M-1, M-2, M-3 and M-4. Based on the theoretical wavefront reconstruction, the reflection and diffraction of blasting-induced waves at a finite crack and highly complex interaction with crack were explained in detail. Furthermore, the maximum circumferential stress criterion was used to analyze the crack initiation and propagation. The results are in accordance with the experiment results, which show that the incident angles of blasting stress waves have a significant effect on the propagation characteristics of waves at the pre-existing crack and the model failure modes. As the incident angle increases, the initiating time of crack tip B decreases, but the deflecting angle increases, and damage near the pre-existing crack is more serious. In addition, reflected and diffracted waves cause stress concentration at the crack tip, which plays a dominant role in crack initiation and propagation. While the pre-existing crack hinders stress wave propagation and reduces its amplitude and inhibits the formation and development of cracks around the borehole, thereby resulting in that the model damage is mainly concentrated at the crack ends and around the borehole, no obvious damage occurs in other areas.

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Data and material will be preserved and will be available upon request.

Code availability

Software used is commercially available. If needed, authors can help readers in finding the companies providing software used in this work.

Abbreviations

ρ :

Density

ρ 0 :

Reference density

V :

Relative volume

D :

Detonation speed

P cj :

Detonation pressure

A,B, R 1, R 2, ω :

Basic parameters of equation of state

C 0C 6 :

Coefficients of linear polynomial equation of state

E :

Internal energy per unit volume

α :

Included angle between the incident wave and crack surface

σ θθ :

Circumferential stress at a certain position

σ rr :

Radial stress

σx, σy and τ xy :

X-stress, Y-stress and shear stress

θ :

Polar angle

PrP:

Reflected waves generated by P wave

Pd AP, Sd AP:

Diffracted waves generated by P wave at the crack tip A

Pd BP, Sd BP:

Diffracted waves generated by P wave at the crack tip B

V + P, V_P:

Schmidt head waves

R + P, R_P:

Rayleigh waves

Pd BPd AP, Sd BPd AP:

Secondary diffracted waves generated by PdAP and SdAP waves at the crack tip B

V + Pd AP, V_Pd AP:

Schmidt head waves generated by PdAP and SdAP waves

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (No. 51974316) and the Fundamental Research Funds for Central Universities (Nos. 2022JCCXLJ01 and 2023ZKPYLJ04).

Funding

This research was supported by the National Natural Science Foundation of China (No. 51974316) and the Fundamental Research Funds for Central Universities (Nos. 2022JCCXLJ01 and 2023ZKPYLJ04). Awards were granted to the author Liyun Yang.

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Liu, H., Yang, L., Chen, C. et al. Study on the Interaction Between Blasting Stress Waves with Different Incidence Angles and Crack. Iran J Sci Technol Trans Civ Eng 47, 3591–3608 (2023). https://doi.org/10.1007/s40996-023-01197-5

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