What does this research mean for the field?

Integrating authentic seismic and blasting waveforms into a dynamic strength reduction and multi-objective optimization model allows for the precise determination of open-pit slope angles that optimally balance structural safety and excavation economy. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Establish an explicit dynamic computational framework and multi-objective optimization model to resolve the trade-off between structural stability and excavation economics in open-pit rock slopes.

September 2, 2026MathematicsOpen Access

Stability Simulation and Angle Optimization for Open-Pit Rock Slopes Under Multi-Condition Coupling

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Establish an explicit dynamic computational framework and multi-objective optimization model to resolve the trade-off between structural stability and excavation economics in open-pit rock slopes.
Integrated authentic monitored seismic and blasting waveforms into an explicit dynamic strength reduction model to capture transient stress wave propagation and progressive failure mechanisms.
Formulated a constrained multi-objective optimization model to quantitatively balance dynamic safety margins against waste rock stripping volumes.
Steepening the slope angle to 45° triggered severe deep plastic yielding and shear band coalescence under dynamic stress waves, reducing the factor of safety to an unsafe range of 1.01 to 1.20.
Identified a global optimal slope angle of 42°, which maintained a factor of safety between 1.45 and 1.98 across all extreme multi-field coupled conditions.
Prevented dynamic shear failure progression without requiring structural reinforcement, effectively minimizing waste stripping volumes and maximizing life-cycle excavation efficiency.

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Implication

Computational modeling reveals an optimal 42-degree slope angle in open-pit rock slopes, indicating maximum excavation efficiency without compromising structural safety.

Cite This Study

Sun et al. (2026) studied this question.

synapsesocial.com/papers/6a97e249c562ede874ec64e4 https://doi.org/10.3390/math14173123

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Implication

Computational modeling reveals an optimal 42-degree slope angle in open-pit rock slopes, indicating maximum excavation efficiency without compromising structural safety.

Stability Simulation and Angle Optimization for Open-Pit Rock Slopes Under Multi-Condition Coupling

Key Points

Discussion

Implication

Cite This Study

Stability Simulation and Angle Optimization for Open-Pit Rock Slopes Under Multi-Condition Coupling

Key Points

Discussion

Implication

Cite This Study

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