journal article·2023-08-29Open access

Research on Constitutive Model and Algorithm of High-Temperature-Load Coupling Damage Based on the Zienkiewicz–Pande Yield Criterion

Tao Zhan, Tengfei Jiang, Shengbiao Shan, Fu Zheng, Annan Jiang, Xinping Guo

Applied Sciences· Volume 13· Issue 17

Abstract

The mechanical properties of rock can be weakened under the influence of high temperatures. To describe the mechanical behavior of rock under the action of high temperature more accurately, based on the Zienkiewicz–Pande yield criterion, the damage variable Dc which accounts for the coupling between high temperature and load is introduced. According to plastic potential theory and plastic flow law, the iterative incremental method for a high-temperature and load-coupled damage constitutive model in Flac3D is deduced in detail and compiled into the corresponding dynamic link library file (.dll file). By modifying the shape function to degenerate into the Mohr–Coulomb constitutive model, an elastic–plastic analysis of an ideal circular tunnel is performed, and a comparison is made between calculation results obtained from the built-in Mohr–Coulomb constitutive model in Flac3D, proving the correctness of the secondary development program. Finally, numerical simulations are conducted to study the effects of high-temperature damage using rock uniaxial compression tests, and the model’s validity is established by comparing it with previous experimental results.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Rock Mechanics and Modeling · Landslides and related hazards · Fire effects on concrete materials

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Nanchang Rail Transit Group Co., Ltd., Nanchang 330013, China

Institute of Road and Bridge Engineering, Dalian Maritime University, Dalian 116026, China

Funding

National Natural Science Foundation of China · LiaoNing Revitalization Talents Program · Cultivation Program for the Excellent Doctoral Dissertation of Dalian Maritime University · Jiangxi Province High Level and Skilled Leading Talent Training Project Candidate Project

References (38)

Show source-provided references
1. Effects of tunnel fires on the mechanical behaviour of rocks in the vicinity—A review10.1016/j.tust.2020.103667 ↗
2. Experimental and Theoretical Investigations of Hard Rocks at High Temperature: Applications in Civil Engineering10.1155/2021/8893944 ↗
3. Stability assessment of shallow tunnels subjected to fire load10.1016/j.firesaf.2005.07.004 ↗
4. Fire-induced damage in tunnels: Thermo-mechanical modeling incorporating support system and geological conditions10.1016/j.tust.2023.105027 ↗
5. The effect of high temperature on tensile strength of sandstone10.1016/j.applthermaleng.2016.09.151 ↗
6. Experimental comparison of mechanical properties and fractal characteristics of geothermal reservoir rocks after different cooling treatments10.1016/j.egyr.2022.03.207 ↗
7. Physical and mechanical behavior of granite containing pre-existing holes after high temperature treatment10.1016/j.acme.2017.03.007 ↗
8. Changes of physical properties of thermal damaged sandstone with time lapse10.1007/s11600-022-00782-y ↗
9. A Damage Constitutive Model for a Jointed Rock Mass under Triaxial Compression10.1061/IJGNAI.GMENG-7834 ↗
10. A numerical investigation of brittle rock damage model in deep underground openings10.1016/j.engfracmech.2012.04.024 ↗
11. In situ damage testing of rock mass in large underground cavern10.1179/143307511X12858957676434 ↗
12. Time-Dependent Damage Investigation of Rock Mass in an In Situ Experimental Tunnel10.3390/ma5081389 ↗
13. Meso-damage evolution and mechanical characteristics of low-porosity sedimentary rocks under uniaxial compression10.1016/S1003-6326(20)65278-5 ↗
14. Real-time CT Experimental Research on Microscopic Damage Evolution of Coal Rock under Compression
15. Mechanical Damage Test and Model Study of Layered Composite Rock Based on Acoustic Emission and DIC Characteristics
16. Stress-Energy Mechanism for Rock Failure Evolution Based on Damage Mechanics in Hard Rock10.1007/s00603-019-01953-y ↗
17. Differences in the acoustic emission characteristics of rock salt compared with granite and marble during the damage evolution process10.1007/s12665-015-4406-7 ↗
18. Causes, characterization, damage models, and constitutive modes for rock damage analysis: A review10.1007/s12517-020-05755-3 ↗
19. Energy Analysis of the Deformation and Failure Process of Sandstone and Damage Constitutive Model10.1007/s12205-018-0789-9 ↗
20. Energy Evolution of Rock under Different Stress Paths and Establishment of A Statistical Damage Model10.1007/s12205-019-0590-4 ↗
21. Coupled Damage-Plasticity Modelling of Saturated Shale under Undrained Condition10.1007/s12205-020-1303-8 ↗
22. A micromechanics-based damage constitutive model of porous rocks10.1016/j.ijrmms.2016.11.005 ↗
23. Temperature- and Pressure-Dependent Pore Microstructures Using Static and Dynamic Moduli and Their Correlation10.1007/s00603-022-02829-4 ↗
24. Constitutive theory and thermodynamic framework for hyperplastic damage of deep rock structure
25. A GSI-softening model for characterizing strength behavior of thermally-damaged rock10.1016/j.enggeo.2021.106251 ↗
26. A coupled thermo-mechanical damage model for granite10.1016/j.ijrmms.2018.01.030 ↗
27. Multiyield-Surface Implementation of a Simplified Three-Dimensional Hoek–Brown Strength Criterion10.1061/(ASCE)GM.1943-5622.0002272 ↗
28. The application of critical state soil mechanics to the mechanical behaviour of porous sandstones10.1016/S1365-1609(03)00053-4 ↗
29. Zienkiewicz, O.C., and Pande, G.N. (1977). Finite Elements in Geomechanics, John Wiley & Sons.
30. Investigation of a Zienkiewicz–Pande yield surface and an elastic–viscoplastic boundary element formulation10.1016/S0955-7997(99)00051-X ↗
31. An equivalent von Mises stress and corresponding equivalent plastic strain for elastic–plastic ordinary peridynamics10.1007/s11012-019-00975-8 ↗
32. Plastic-damage modeling of saturated quasi-brittle shales10.1016/j.ijrmms.2017.01.016 ↗
33. Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC3D
34. He, Z., and Dai, B. (2018, January 22–23). Secondary Development of a Nonlinear Creep Model Based on Fractional Derivative in FLAC3D. Proceedings of the 11th International Conference on Intelligent Computation Technology and Automation (ICICTA), Changsha, China.10.1109/ICICTA.2018.00023 ↗
35. Investigation Into Deformation and Failure Characteristics of the Soft-Hard Interbedded Rock Mass Under Multiaxial Compression10.3389/feart.2022.903743 ↗
36. Critical review of the Mogi failure criterion based on true-triaxial laboratory data analysis and theoretical considerations10.1016/j.ijrmms.2022.105220 ↗
37. Comparative experimental study on physical and mechanical properties of granite after natural cooling and under real-time high temperature
38. Research on Algorithm and Coupling Damage Model of Rock Under High Temperature and Loading Based on Mohr–Coulomb Criterion10.1142/S0219876222500013 ↗