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Rock Stress-Strain Relationship and Porosity Evolution Model Based on TPHM
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Shuo Li, Yuxuan Hu, Jianhang Yang, Zonghuan Peng
Chinese Journal of Underground Space and Engineering | 2026, 22(2) : 427 - 436
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Chinese Journal of Underground Space and Engineering | 2026, 22(2): 427-436
Rock Stress-Strain Relationship and Porosity Evolution Model Based on TPHM
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Shuo Li, Yuxuan Hu, Jianhang Yang, Zonghuan Peng
Affiliations
  • School of Resource and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081 P. R. China
Published: 2026-04-20 doi: 10.20174/j.JUSE.2026.02.05
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In order to investigate the impact of pore and fracture structure on the nonlinear deformation characteristics of rocks during the entire stress-strain process, considering the differences in deformation between pores and the matrix, porous rocks are deconstructed into two components: hard springs and soft springs. The Two-part Hooke's Model (TPHM) and statistical damage theory are introduced. Based on the TPHM, the complete stress-strain relationship of rocks is established, and the porosity evolution equation for the entire stress-strain process of rocks is derived. This model overcomes the limitation of the traditional Two-part Hooke's Model, which is unable to represent the plastic deformation of rocks after yielding. It not only accurately characterizes the nonlinear deformation during the pore compaction stage, plastic yielding, stress drop after peak, and residual stress characteristics in the rock compression process, but also effectively represents the porosity variation during the entire stress-strain process of rocks. Extensive experimental data validation has demonstrated that the theoretical curves of this constitutive model align well with the experimental results, with correlation coefficients consistently exceeding 0.9.

two-part Hooke's model  /  full stress-strain process  /  statistical damage  /  evolution of porosity
Shuo Li, Yuxuan Hu, Jianhang Yang, Zonghuan Peng. Rock Stress-Strain Relationship and Porosity Evolution Model Based on TPHM[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22 (2) : 427 -436 . DOI: 10.20174/j.JUSE.2026.02.05
Year 2026 volume 22 Issue 2
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doi: 10.20174/j.JUSE.2026.02.05
  • Receive Date:2025-01-10
  • Online Date:2026-06-17
  • Published:2026-04-20
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  • Received:2025-01-10
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    School of Resource and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081 P. R. China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

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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