New critical state constitutive model considering particle breakage implicitly for uncemented carbonate sands

References

• Bandini, V., and M. R. Coop. 2011. “The Influence of Particle Breakage on the Location of the Critical State Line of Sands.” Soils and Foundations 51 (4): 591–600. https://doi.org/10.3208/sandf.51.591.
   Web of Science ®Google Scholar
• Been, K., and M. G. Jefferies. 1985. “A State Parameter for Sands.” Géotechnique 35 (2): 99–112. https://doi.org/10.1680/geot.1985.35.2.99.
   Web of Science ®Google Scholar
• Boukpeti, N., and D. White. 2011. Strength characterisation of a carbonate silt across the solid-fluid boundary report no, GEO.
   Google Scholar
• Cai, Z., H. Y. Hou, J. X. Zhang, L. Zhang, Y. F. Guan, and Y. Y. Cao. 2019. “Critical State and Constitutive Model for Coral Sand considering Particle Breakage.” Chinese Journal of Geotechnical Engineering 41 (6): 989–995.
   Google Scholar
• Carter, J., W. S. Kaggwa, I. W. Johnston, E. A. Novello, M. Fahey, and G. A. Chapman. 1988. “Triaxial Testing of North Rankin Calcarenite.” International Conference on Calcareous Sediments.
   Google Scholar
• Cen, W. J., J. R. Luo, W. D. Zhang, and M. S. Rahman. 2018. “An Enhanced Generalized Plasticity Model for Coarse Granular Material considering Particle Breakage.” Advances in Civil Engineering 2018: 1–9. https://doi.org/10.1155/2018/7242936.
   Web of Science ®Google Scholar
• Chen, Bin., Daijie Chao, Wenjuan Wu, and Jieming Hu. 2019. “Study on Creep Mechanism of Coral Sand Based on Particle Breakage Evolution Law.” Journal of Vibroengineering 21 (4): 1201–1214. https://doi.org/10.21595/jve.2019.20625.
   Web of Science ®Google Scholar
• Cheng, L., M. S. Hossain, Y. Hu, Y. H. Kim, and S. N. Ullah. 2022. “A Simple Breakage Model for Calcareous Sand and Its FE Implementation.” Journal of Geotechnical and Geoenvironmental Engineering 148 (9): 04022065. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002834.
   Web of Science ®Google Scholar
• Coop, M., and I. Lee. 1992. “The Behaviour of Granular Soils at Elevated Stresses.” Predictive Soil Mechanics: Proceedings of the Wroth Memorial Symposium Held at St Catherine’s College, 27–29 July 1992. Oxford: Thomas Telford Publishing.
   Google Scholar
• Coop, M. R., K. K. Sorensen, T. Bodas Freitas, and G. Georgoutsos. 2004. “Particle Breakage during Shearing of a Carbonate Sand.” Géotechnique 54 (3): 157–163. https://doi.org/10.1680/geot.2004.54.3.157.
   Web of Science ®Google Scholar
• Dehnavi, Y., Habib Shahnazari, Hossein Salehzadeh, and Reza Rezvani. 2010. “Compressibility and Undrained Behavior of Hormuz Calcareous Sand.” Electronic Journal of Geotechnical Engineering 15 (1): 1684–1702.
   Google Scholar
• Farshbaf Aghajani, Hamed, Hossein Salehzadeh, and Reza Rezvani. 2016. “Energy Equilibrium during Crushing of Sandy Soils under Isotropic Compression.” Arabian Journal for Science and Engineering 41 (4): 1531–1542. https://doi.org/10.1007/s13369-016-2063-0.
   Web of Science ®Google Scholar
• Ghafghazi, M., D. A. Shuttle, and J. T. DeJong. 2014. “Particle Breakage and the Critical State of Sand.” Soils and Foundations 54 (3): 451–461. https://doi.org/10.1016/j.sandf.2014.04.016.
   Web of Science ®Google Scholar
• Hardin, B. O. 1985. “Crushing of Soil Particles.” Journal of Geotechnical Engineering 111 (10): 1177–1192. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:10(1177).
   Google Scholar
• Hasanlourad, M., H. Salehzadeh, and H. Shahnazari. 2008. “Dilation and particle breakage effects on the shear strength of calcareous sands based on energy aspects.”
   Google Scholar
• Hassanlourad, M., M. R. Rasouli, and H. Salehzadeh. 2014. “A Comparison between the Undrained Shear Behavior of Carbonate and Quartz Sands.” International Journal of Civil Engineering 12 (4): 338–350.
   Google Scholar
• Hassanlourad, M., H. Salehzadeh, and H. Shahnazari. 2014. “Drained Shear Strength of Carbonate Sands Based on Energy Approach.” International Journal of Geotechnical Engineering 8 (1): 1–9. https://doi.org/10.1179/1938636213Z.00000000050.
   Google Scholar
• Hu, Wei., ZhenYu Yin, Christophe Dano, and Pierre-Yves Hicher. 2011. “A Constitutive Model for Granular Materials considering Grain Breakage.” Science China Technological Sciences 54 (8): 2188–2196. https://doi.org/10.1007/s11431-011-4491-0.
   Web of Science ®Google Scholar
• Huang, J. T. 1994. The effects of density and cementation on cemented sands (Doctoral dissertation, University of Sydney).
   Google Scholar
• Huang, J., and D. Airey. 1998. “Properties of Artificially Cemented Carbonate Sand.” Journal of Geotechnical and Geoenvironmental Engineering 124 (6): 492–499. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:6(492).
   Web of Science ®Google Scholar
• Islam, M., J. P. Carter, and D. W. Airey. 1999. “A Constitutive Model for Carbonate Sediments.” Australia-New Zealand Conference on Geomechanics (8th: 1999: Hobart, Tas.). Australian Geomechanics Society Barton, ACT.
   Google Scholar
• Islam, M. K. 1999. “Constitutive models for carbonate sand and their application to footing problems”
   Google Scholar
• Jafarian, Yaser, Hamed Javdanian, and Abdolhosein Haddad. 2018. “Dynamic Properties of Calcareous and Siliceous Sands under Isotropic and Anisotropic Stress Conditions.” Soils and Foundations 58 (1): 172–184. https://doi.org/10.1016/j.sandf.2017.11.010.
   Web of Science ®Google Scholar
• Kan, M. E., and H. A. Taiebat. 2014. “A Bounding Surface Plasticity Model for Highly Crushable Granular Materials.” Soils and Foundations 54 (6): 1188–1201. https://doi.org/10.1016/j.sandf.2014.11.012.
   Web of Science ®Google Scholar
• Kikumoto, Mamoru, David Muir Wood, and Adrian Russell. 2010. “Particle Crushing and Deformation Behaviour.” Soils and Foundations 50 (4): 547–563. https://doi.org/10.3208/sandf.50.547.
   Web of Science ®Google Scholar
• Koiter, W. T. 1953. “Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials with a Singular Yield Surface.” Quarterly of Applied Mathematics 11 (3): 350–354. https://doi.org/10.1090/qam/59769.
   Web of Science ®Google Scholar
• Kong, D., and J. Fonseca. 2018. “Quantification of the Morphology of Shelly Carbonate Sands Using 3D Images.” Géotechnique 68 (3): 249–261. https://doi.org/10.1680/jgeot.16.P.278.
   Web of Science ®Google Scholar
• Lade, P. V., and J. A. Yamamuro. 1996. “Undrained Sand Behavior in Axisymmetric Tests at High Pressures.” Journal of Geotechnical Engineering 122 (2): 120–129. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(120).
   Google Scholar
• Li, X. S., and Y. F. Dafalias. 2000. “Dilatancy for Cohesionless Soils.” Géotechnique 50 (4): 449–460. https://doi.org/10.1680/geot.2000.50.4.449.
   Web of Science ®Google Scholar
• Ling, H. I., and S. Yang. 2006. “Unified Sand Model Based on the Critical State and Generalized Plasticity.” Journal of Engineering Mechanics 132 (12): 1380–1391. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:12(1380).
   Web of Science ®Google Scholar
• Liu, Huabei, Kaifeng Zeng, and Yan Zou. 2020. “Particle Breakage of Calcareous Sand and Its Correlation with Input Energy.” International Journal of Geomechanics 20 (2): 04019151. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001541.
   Web of Science ®Google Scholar
• Liu, Ruiming, Heying Hou, Yuanyi Chen, Pan Ming, and Xun Zhu. 2021. “Elastoplastic Constitutive Model of Coral Sand considering Particle Breakage Based on Unified Hardening Parameter.” Marine Georesources & Geotechnology 40 (6): 655–667. https://doi.org/10.1080/1064119X.2021.1924321.
   Web of Science ®Google Scholar
• Luo, Mingxing, Jiru Zhang, Xiaoxuan Liu, and Duanduan Xu. 2021. “Critical State Elastoplastic Constitutive Model of Angular-Shaped and Fragile Granular Materials.” Marine Georesources & Geotechnology 39 (8): 937–950. https://doi.org/10.1080/1064119X.2020.1785065.
   Web of Science ®Google Scholar
• Mao, X., and M. Fahey. 2003. “Behaviour of Calcareous Soils in Undrained Cyclic Simple Shear.” Géotechnique 53 (8): 715–727. https://doi.org/10.1680/geot.2003.53.8.715.
   Web of Science ®Google Scholar
• Miao, G., and D. Airey. 2013. “Breakage and Ultimate States for a Carbonate Sand.” Géotechnique 63 (14): 1221–1229. https://doi.org/10.1680/geot.12.P.111.
   Web of Science ®Google Scholar
• Porcino, D., G. Caridi, and V. N. Ghionna. 2008. “Undrained Monotonic and Cyclic Simple Shear Behaviour of Carbonate Sand.” Géotechnique 58 (8): 635–644. https://doi.org/10.1680/geot.2007.00036.
   Web of Science ®Google Scholar
• Prager, W. 1949. “Recent Developments in the Mathematical Theory of Plasticity.” Journal of Applied Physics 20 (3): 235–241. https://doi.org/10.1063/1.1698348.
   Web of Science ®Google Scholar
• Qian, Haoyong, Wei Wu, Chengshun Xu, Dong Liao, and Xiuli Du. 2023b. “An Extended Hypoplastic Constitutive Model considering Particle Breakage for Granular Material.” Computers and Geotechnics 159: 105503. https://doi.org/10.1016/j.compgeo.2023.105503.
   Web of Science ®Google Scholar
• Qian, Haoyong, Wei Wu, Xiuli Du, and Chengshun Xu. 2023a. “A Hypoplastic Constitutive Model for Granular Materials with Particle Breakage.” International Journal of Geomechanics 23 (6): 04023065. https://doi.org/10.1061/IJGNAI.GMENG-8134.
   Web of Science ®Google Scholar
• Rowe, P. W. 1962. “The Stress-Dilatancy Relation for Static Equilibrium of an Assembly of Particles in Contact.” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 269(1339): 500–527.
   Google Scholar
• Russell, A. R., and N. Khalili. 2004. “A Bounding Surface Plasticity Model for Sands Exhibiting Particle Crushing.” Canadian Geotechnical Journal 41 (6): 1179–1192. https://doi.org/10.1139/t04-065.
   Web of Science ®Google Scholar
• Salehzadeh, H. 2000. The Behaviour of non-Cemented and Artificially Cemented Carbonate Sand under Monotonic and Reversed Cyclic Shearing. United Kingdom: The University of Manchester.
   Google Scholar
• Shahnazari, H., and R. Rezvani. 2013. “Effective Parameters for the Particle Breakage of Calcareous Sands: An Experimental Study.” Engineering Geology 159: 98–105. https://doi.org/10.1016/j.enggeo.2013.03.005.
   Web of Science ®Google Scholar
• Shen, Jian-Hua, Xing Wang, Jie Cui, Xin-Zhi Wang, and Chang-Qi Zhu. 2022. “Shear Characteristics of Calcareous Gravelly Sand considering Particle Breakage.” Bulletin of Engineering Geology and the Environment 81 (3): 130. https://doi.org/10.1007/s10064-022-02603-4.
   Web of Science ®Google Scholar
• Shi, J. 2020. Mechanical properties of calcareous sand: the role of initial fabric, particle characteristics and gradation (Doctoral dissertation, Ghent University).
   Google Scholar
• Sun, D. A, Huang, W. X., Sheng, D. C., & Yamamoto, H. 2007. An elastoplastic model for granular materials exhibiting particle crushing. Key Engineering Materials, 340, 1273–1278. https://doi.org/10.4028/www.scientific.net/KEM.340-341.1273.
   Google Scholar
• Tong, Chen-Xi, Glen J. Burton, Sheng Zhang, and Daichao Sheng. 2020. “Particle Breakage of Uniformly Graded Carbonate Sands in Dry/Wet Condition Subjected to Compression/Shear Tests.” Acta Geotechnica 15 (9): 2379–2394. https://doi.org/10.1007/s11440-020-00931-x.
   Web of Science ®Google Scholar
• Ueng, T.-S., and T.-J. Chen. 2000. “Energy Aspects of Particle Breakage in Drained Shear of Sands.” Géotechnique 50 (1): 65–72. https://doi.org/10.1680/geot.2000.50.1.65.
   Web of Science ®Google Scholar
• Vilhar, G., V. Jovičić, and M. R. Coop. 2013. “The Role of Particle Breakage in the Mechanics of a Non-Plastic Silty Sand.” Soils and Foundations 53 (1): 91–104. https://doi.org/10.1016/j.sandf.2012.12.006.
   Web of Science ®Google Scholar
• Wang, Gang, Zhaonan Wang, Qinguo Ye, and Jingjing Zha. 2021. “Particle Breakage Evolution of Coral Sand Using Triaxial Compression Tests.” Journal of Rock Mechanics and Geotechnical Engineering 13 (2): 321–334. https://doi.org/10.1016/j.jrmge.2020.06.010.
   Web of Science ®Google Scholar
• Wang, Gang, Zhaonan Wang, Qinguo Ye, and Xing Wei. 2020. “Particle Breakage and Deformation Behavior of Carbonate Sand under Drained and Undrained Triaxial Compression.” International Journal of Geomechanics 20 (3): 04020012. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001601.
   Web of Science ®Google Scholar
• Wang, N., and Y. Yao. 2015. “A Generalized Constitutive Model considering Sand Crushing.” Japanese Geotechnical Society Special Publication 1 (2): 12–15. https://doi.org/10.3208/jgssp.CPN-03.
   Google Scholar
• Wang, Shuai, Xue-Wen Lei, Qing-Shan Meng, Jie-Li Xu, Ling-Feng Xie, and Yu-Jie Li. 2020. “Influence of Particle Shape on the Density and Compressive Performance of Calcareous Sand.” KSCE Journal of Civil Engineering 24 (1): 49–62. https://doi.org/10.1007/s12205-020-0145-8.
   Web of Science ®Google Scholar
• Wang, Xing, Jie Cui, Chang-Qi Zhu, Yang Wu, and Xin-Zhi Wang. 2021. “Experimental Study of the Mechanical Behavior of Calcareous Sand under Repeated Loading-Unloading.” Bulletin of Engineering Geology and the Environment 80 (4): 3097–3113. https://doi.org/10.1007/s10064-021-02119-3.
   Web of Science ®Google Scholar
• Wei, Houzhen, Tao Zhao, Jianqiao He, Qingshan Meng, and Xinzhi Wang. 2018. “Evolution of Particle Breakage for Calcareous Sands during Ring Shear Tests.” International Journal of Geomechanics 18 (2): 04017153. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001073.
   Web of Science ®Google Scholar
• Wei, Houzhen, Xiaoxiao Li, Shuodong Zhang, Tao Zhao, Mei Yin, and Qingshan Meng. 2021. “Influence of Particle Breakage on Drained Shear Strength of Calcareous Sands.” International Journal of Geomechanics 21 (7): 04021118. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002078.
   Web of Science ®Google Scholar
• Wu, Y., and H. Yamamoto. 2015. “Numerical Analysis on Crushing Stress of Sand in Constitutive Model with Particle Crushing.” Scientia Iranica 22 (5): 1755–1764.
   Web of Science ®Google Scholar
• Wu, Yang, Neng Li, Xinzhi Wang, Jie Cui, Yulong Chen, Yihang Wu, Haruyuki Yamamoto, et al. 2021. “Experimental Investigation on Mechanical Behavior and Particle Crushing of Calcareous Sand Retrieved from South China Sea.” Engineering Geology 280: 105932. https://doi.org/10.1016/j.enggeo.2020.105932.
   Web of Science ®Google Scholar
• Xiao, Y., and H. Liu. 2017. “Elastoplastic Constitutive Model for Rockfill Materials considering Particle Breakage.” International Journal of Geomechanics 17 (1): 04016041. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000681.
   Web of Science ®Google Scholar
• Xiao, Yang, HanLong Liu, Gui Yang, YuMin Chen, and JingShan Jiang. 2014. “A Constitutive Model for the State-Dependent Behaviors of Rockfill Material considering Particle Breakage.” Science China Technological Sciences 57 (8): 1636–1646. https://doi.org/10.1007/s11431-014-5601-6.
   Web of Science ®Google Scholar
• Xu, Liang-Jie, Xin-zhi Wang, Ren Wang, Chang-qi Zhu, and Xiao-peng Liu. 2021. “Physical and Mechanical Properties of Calcareous Soils: A Review.” Marine Georesources & Geotechnology 40 (6): 751–766. https://doi.org/10.1080/1064119X.2021.1927270.
   Web of Science ®Google Scholar
• Yao, Yang-Ping, Haruyuki Yamamoto, and Nai-Dong Wang. 2008. “Constitutive Model considering Sand Crushing.” Soils and Foundations 48 (4): 603–608. https://doi.org/10.3208/sandf.48.603.
   Web of Science ®Google Scholar
• Yao, Yang-Ping, Lin Liu, Ting Luo, Yu Tian, and Jian-Min Zhang. 2019. “Unified Hardening (UH) Model for Clays and Sands.” Computers and Geotechnics 110: 326–343. https://doi.org/10.1016/j.compgeo.2019.02.024.
   Web of Science ®Google Scholar
• Yu, F. 2017. “Particle Breakage and the Critical State of Sands.” Géotechnique 67 (8): 713–719. https://doi.org/10.1680/jgeot.15.P.250.
   Web of Science ®Google Scholar
• Yu, F. 2017. “Particle Breakage and the Drained Shear Behavior of Sands.” International Journal of Geomechanics 17 (8): 04017041. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000919.
   Web of Science ®Google Scholar
• Yu, F. 2018. “Particle Breakage in Triaxial Shear of a Coral Sand.” Soils and Foundations 58 (4): 866–880. https://doi.org/10.1016/j.sandf.2018.04.001.
   Web of Science ®Google Scholar
• Yu, F. 2019. “Influence of Particle Breakage on Behavior of Coral Sands in Triaxial Tests.” International Journal of Geomechanics 19 (12): 04019131. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001524.
   Web of Science ®Google Scholar
• Yu, H.-S. 1998. “CASM: A Unified State Parameter Model for Clay and Sand.” International Journal for Numerical and Analytical Methods in Geomechanics 22 (8): 621–653. https://doi.org/10.1002/(SICI)1096-9853(199808)22:8<621::AID-NAG937>3.0.CO;2-8.
   Web of Science ®Google Scholar
• Zhang, J. M. 2004. Study on the Fundamental Mechanical Characteristics of Calcareous Sand and the Influence of Particle Breakage. University of Chinese Academy of Sciences. PHD.
   Google Scholar
• Zhang, J., and M. Luo. 2020. “Dilatancy and Critical State of Calcareous Sand Incorporating Particle Breakage.” International Journal of Geomechanics 20 (4): 04020030. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001637.
   Web of Science ®Google Scholar