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Statistical Characteristics of Spallation Based on Stochastic Numerical Simulation
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Youhao GUAN, Hao ZHANG, Xiaoyang PEI
Chinese Journal of High Pressure Physics | 2026, 40(8) : 080106-1 - 080106-22
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Chinese Journal of High Pressure Physics | 2026, 40(8): 080106-1-080106-22
• Dynamic Damage and Failure of Metals and Alloys •
Statistical Characteristics of Spallation Based on Stochastic Numerical Simulation
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Youhao GUAN, Hao ZHANG, Xiaoyang PEI
Affiliations
  • National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, Sichuan, China
Published: 2026-08-05 doi: 10.11858/gywlxb.20251290
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This work integrates stochastic theory with a phase-field model for spallation in ductile metals. By assigning four distinct random distributions to the initial yield strength to characterize the random distribution of material defects and employing an explicit dynamic solver, the entire process of spall damage—from gradual evolution to instability and coalescence—was successfully simulated. The simulation results were validated through plate impact experiments and triangular wave loading experiments. These validations revealed the relationship between the heterogeneity of material yield strength and both the spall strength and the number/area of damaged zones. The results indicate a negative correlation between the standard deviation of the initial yield strength and the spall strength, which holds for both single and multiple spall scenarios in ductile metals. For single spallation, regardless of the initial distribution of yield strength, the resulting spall strength follows a normal distribution. For multiple spallation, the number of initially nucleated damaged zones increases linearly with the standard deviation, while the size of these zones follows a Weibull distribution. Under the same initial random distribution, the number of damaged zones evolves over time, showing a trend of initial slow growth, subsequent acceleration until saturation, and a final decline after saturation. This trend corresponds to the typical process of damage evolution involving nucleation and coalescence during spallation.

ductile metal  /  spallation  /  stochastic model  /  phase-field fracture model  /  dynamic damage
管尤好, 张豪, 裴晓阳. 基于随机数值模拟的层裂统计特性. 高压物理学报, 2026 , 40 (8) : 080106-1 -080106-22 . DOI: 10.11858/gywlxb.20251290
Youhao GUAN, Hao ZHANG, Xiaoyang PEI. Statistical Characteristics of Spallation Based on Stochastic Numerical Simulation[J]. Chinese Journal of High Pressure Physics, 2026 , 40 (8) : 080106-1 -080106-22 . DOI: 10.11858/gywlxb.20251290
Year 2026 volume 40 Issue 8
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doi: 10.11858/gywlxb.20251290
  • Receive Date:2025-12-29
  • Online Date:2026-11-05
  • Published:2026-08-05
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  • Received:2025-12-29
  • Revised:2026-02-26
Affiliations
    National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, Sichuan, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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