Abstract
The strain-hardening behavior of soils and rocks under compression is critical for evaluating the construction stability in geological and mining engineering. Numerical simulation is an effective approach and widely used in the stability analysis of constructions. To ensure the accuracy of the simulation results, it is necessary to select appropriate constitutive models and determine the correct model parameters. The double-yield model, built in FLAC3D, is often used to describe the strain-hardening behavior of geotechnical materials. On the assumption that there is only volume yielding in the material, a relationship between the cap pressure, plastic strain in the double-yield model, and the axial stress–strain in the compression test with axial loading and four lateral-face constraints was established. Then, the cap pressure and plastic strain could be calculated directly by a series of known axial stress–strain data. With this calculation method, the double-yield model parameters can be determined quickly and accurately. This method was derived based on the constitutive equation of the double-yield model and could quickly determine the model parameters by reverse calculation according to the expected results, so it was more efficient and credible than the more widely used trial-and-error method. Based on comparisons between the calculation and trial-and-error methods, some case studies also proved its efficiency and effectiveness. Moreover, there are no requirements for the source of known stress–strain data. Therefore, this method can be applied to the model parameter assignment based on the stress–strain data from experimental tests, theoretical analyses, empirical formulas, and other numerical simulations.
Highlights
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A relationship between the double-yield model parameters and the axial stress-strain in a uniaxial loading test with lateral constraints was established.
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An approach for accurate numerical modeling of strain-hardening materials using a double-yield model was developed.
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Some contrastive analyses with similar studies were conducted to verify the accuracy and efficiency of the approach in this paper.
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References
Ataei M, Darvishi A, Rafiee R (2019) Investigating the effect of simultaneous extraction of two longwall panels on a maingate gateroad stability using numerical modeling. Int J Rock Mech Mining Sci 126
Chen L, Qiao L, Li Q (2019) Study on dynamic compaction characteristics of gravelly soils with crushing effect. Soil Dyn Earthq Eng 120:158–169
Comodromos EM, Papadopoulou MC, Konstantinidis GK (2013) Effects from diaphragm wall installation to surrounding soil and adjacent buildings. Comput Geotech 53:106–121
Comodromos EM, Papadopoulou MC, Georgiadis K (2018) Design procedure for the modelling of jet-grout column slabs supporting deep excavations. Comput Geotech 100:110–121
Feng GR, Wang PF, Chugh YP (2018a) Stability of gate roads next to an irregular yield pillar a case study. Rock Mech Rock Eng 52:2741–2760
Feng GR, Wang PF, Yoginder PC (2018b) A new gob-side entry layout for longwall top coal caving. Energies 11:1292
Feng GR, Wang PF (2020) Stress environment of entry driven along gob-side through numerical simulation incorporating the angle of break. Int J Min Sci Technol 30:189–196
Gao YB, Wang YJ, Yang J, Zhang XY, He MC (2019) Meso- and macroeffects of roof split blasting on the stability of gateroad surroundings in an innovative nonpillar mining method. Tunn Undergr Space Technol 90:99–118
Itasca (2012) FLAC3D Fast Lagrangian analysis of continua User’s and theory manuals. Minneapolis Itasca Consulting Group
Li B, Liang YP, Zhang L, Zou QL (2019) Experimental investigation on compaction characteristics and permeability evolution of broken coal. Int J Rock Mech Min Sci 118:63–76
Li M, Zhang JX, Huang YL, Zhou N (2017) Effects of particle size of crushed gangue backfill materials on surface subsidence and its application under buildings. Environmental Earth Sciences 76:603
Li WF, Bai JB, Peng S, Wang XY, Xu Y (2015) Numerical modeling for yield pillar design a case study. Rock Mech Rock Eng 48:305–318
Li ZL, He XQ, Dou LM, Song DZ, Wang GF (2018) Numerical investigation of load shedding and rockburst reduction effects of top-coal caving mining in thick coal seams. Int J Rock Mech Min Sci 110:266–278
Nematollahi M, Dias D (2018) Three-dimensional numerical simulation of pile-twin tunnels interaction–Case of the Shiraz subway line. Tunn Undergr Space Technol 86:75–88
Pappas DM, Mark C (1993) Behavior of simulated longwall gob material
Sahoo S, Behera B, Yadav A, Singh G, Sharma S (2020) Plane-Strain Modeling of Progressive Goaf Compaction in a Depillaring Working. Journal of the Institution of Engineers Series D 101:233–245
Salamon M (1990) Mechanism of caving in longwall coal mining Rock mechanics contributions and challenges. Proceedings of the 31st US symposium, Golden, Colorado:161–168
Jiang LS, Zhang PP, Chen LJ, Hao Z, Sainoki A, Mitri HS, Wang QB (2017) Numerical approach for goaf-side entry layout and yield pillar design in fractured ground conditions. Rock Mech Rock Eng 50:3049–3071
Shen WL, Xiao TQ, Wang M, Bai JB, Wang XY (2018) Numerical modeling of entry position design A field case. Int J Min Sci Technol 28:985–990
Venda PJ, Correia AAS, Lemos LJL (2017) Numerical modelling of the effect of curing time on the creep behaviour of a chemically stabilised soft soil. Comput Geotech 91:117–130
Wang J, Jiang JQ, Li GB, Hu H (2016) Exploration and numerical analysis of failure characteristic of coal pillar under great mining height longwall influence. Geotech Geol Eng 34:689–702
Wang JC, Wang ZH, Yang SL (2017) A coupled macro- and meso-mechanical model for heterogeneous coal. Int J Rock Mech Min Sci 94:64–81
Yadav A, Behera B, Sahoo SK, Singh GSP, Sharma S (2020) An Approach for Numerical Modeling of Gob Compaction Process in Longwall Mining. Mining Metallurgy & Exploration 37:631–649
Zhang C, Bai QS, Chen YH (2020) Using stress path-dependent permeability law to evaluate permeability enhancement and coalbed methane flow in protected coal seam a case study. Geomech Geophys Geo-Energy Geo-Resour 6:1–25
Zhang HZ, Deng KZ, Gu W (2016) Distribution law of the old goaf residual cavity and void. J Min Safe Eng 33:893–897
Zhang N, Han CL, Kan JG, Zheng XG (2014) Theory and practice of surrounding rock control for pillarless gob-side entry retaining. J Chin Coal Soc 39:1635–1641
Acknowledgements
This study was funded by the research fund of Henan Key Laboratory for Green and Efficient Mining & Comprehensive Utilization of Mineral Resources (KCF202006), the Doctor Foundation of Henan Polytechnic University (760207/029), National Natural Science Foundation of China (52104128), Key R & D and promotion projects in Henan Province (212102310010), Key Laboratory of Western Mine Exploitation and Hazard Prevention, Ministry of Education (SKLCRKF1902), Henan Province Key Scientific Research Project Plan for Colleges and Universities (22B440003).
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Yu, Y., Ma, L., Zhang, D. et al. Approach for Numerical Modeling of Strain-Hardening Materials Using Double-Yield Model. Rock Mech Rock Eng 55, 7357–7367 (2022). https://doi.org/10.1007/s00603-022-02883-y
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DOI: https://doi.org/10.1007/s00603-022-02883-y