冻土-构筑物界面粘聚-损伤-摩擦本构模型

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (5): 115-121.

冻土-构筑物界面粘聚-损伤-摩擦本构模型

陈晓¹, 何鹏飞^*2, 董建华³, 任新³, 吴晓磊³

1.甘肃建投土木工程建设集团有限责任公司, 甘肃兰州 730050;
2.兰州理工大学理学院, 甘肃兰州 730050;
3.兰州理工大学土木工程学院甘肃兰州 730050

收稿日期:2021-01-08 出版日期:2021-10-28 发布日期:2021-11-18
通讯作者: 何鹏飞(1989-),男,甘肃靖远人,博士,讲师.Email:hepf17@163.com
基金资助:
国家自然科学基金(42001058)

Cohesion-damage-friction constitutive model of the frozen soil-structure interface

CHEN Xiao¹, HE Peng-fei², DONG Jian-hua³, REN Xin³, WU Xiao-lei³

1. Gansu Construction Investment Civil Engineering Construction Group Co. Ltd., Lanzhou 730050, China;
2. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China;
3. College of Civil Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2021-01-08 Online:2021-10-28 Published:2021-11-18

摘要/Abstract

摘要： 冻土与构筑物界面本构模型对寒区工程的设计、分析和数值模拟至关重要.耦合粘聚损伤模型和摩擦模型建立了冻土与构筑物界面的一维本构模型.模型从界面的细观力学特征出发,考虑胶结冰在界面剪切过程中的力学响应及界面出现相对滑动后的摩擦力学特征,将界面微元区域分为损伤部分和非损伤部分进行分析.在界面发生相对位移的过程中,微元由非损伤向完全损伤过渡,其中非损伤部分假设为弹性变形,随着损伤的发展摩擦力逐渐发挥作用.基于界面的基本运动学假设得到了微元体损伤演化过程和摩擦演化过程,进而依据均匀化方法建立了界面的本构关系,模型中的参数物理意义明确且容易从试验数据中获取.数值结果表明模型对界面的应变软化型曲线和应变硬化型曲线都有较好的拟合效果,试验曲线中的关键参数在模型中都能够体现.

关键词: 冻土, 界面本构模型, 粘聚-损伤, 摩擦, 细观力学

Abstract: The constitutive model of the interface between frozen soil and structure is very important to the design, analysis and numerical simulation of engineering practice in cold regions. A one-dimensional constitutive model of the interface between frozen soil and structure was established by coupling the cohesive damage model and the friction model. Based on the meso-mechanical assumption, the mechanical response of cemented ice at the interface and the friction mobilization, the representative elementary area of the interface was divided into damaged part and non-damaged part. During the shearing of the interface, the non-damaged part of the representative elementary area was assumed to be elastic deformation. The friction effect was mobilized during the representative elementary area transform from the initial undamaged state to the fully damaged state. The damage evolution equation and the friction evolution process of the representative elementary area were established based on the basic kinematics hypotheses of the interface, and the constitutive relationship of the interface was established according to the homogenization method. The parameters in the model have clear physical meanings and are easy to obtain from the test data. The numerical results show that the model has a good fitting effect on the both strain softening curve and strain hardening curve of the interface, and the key parameters in the test curve can be reflected in the model.

Key words: frozen soil, interface constitutive model, cohesion-damage, friction, meso-mechanics

中图分类号:

TU43

陈晓, 何鹏飞, 董建华, 任新, 吴晓磊. 冻土-构筑物界面粘聚-损伤-摩擦本构模型[J]. 兰州理工大学学报, 2021, 47(5): 115-121.

CHEN Xiao, HE Peng-fei, DONG Jian-hua, REN Xin, WU Xiao-lei. Cohesion-damage-friction constitutive model of the frozen soil-structure interface[J]. Journal of Lanzhou University of Technology, 2021, 47(5): 115-121.

参考文献

[1] 周幼吾,郭东信,邱国庆,等.中国冻土 [M].1版.北京:科学出版社,2000.
[2] ANDERSLAND O B,LANDANYI B.Frozen ground engineering [M].Second edition.John wiley & Sons,Inc.and ASCE American Society of Civil Engineering,2004.
[3] DUNCAN J M,CHANG C Y.Nonlinear analysis of stress and strain in soils [J].Journal of the Soil Mechanics and Foundations Division,1970,96(5):1629-1653.
[4] ZHOU A Z,LU T H.Elastoplastic constitutive model of soil-structure interface in consideration of strain softening and dilation [J].Acta Mechanic Solid Science,2009,22(2):171-179.
[5] GITAU A N,GUMBE L O,BIAMAH E K.Influence of soil water on stress-strain behavior of a compacting soil in semi-arid Kenya [J].Soil and Tillage Research,2006,89(2):144-154.
[6] 章峻豪,陈正汉,赵娜,等.非饱和土的新非线性模型及其应用 [J].岩土力学,2016,37(3):616-624.
[7] 周爱兆,卢廷浩.基于广义位势理论的接触面弹塑性本构模型[J].岩土工程学报,2008,30(10):1532-1536.
[8] 殷德顺,王保田.负乘幂本构模型的切线模量 [J].岩土力学,2009,30(7):2168-2173.
[9] 刘祖典,李靖,郭增玉,等.陕西关中黄土变形特性和变形参数的探讨 [J].岩土工程学报,1984,6(3):24-34.
[10] 胡黎明,濮家骝.土与结构物接触面损伤本构模型 [J].岩土力学,2002,23(1):6-11.
[11] 张嘎,张建民.粗粒土与结构面统一本构模型及试验验证 [J].岩土工程学报,2005,27(10):1176-1179.
[12] 张冬霁,卢廷浩.一种土与结构接触面模型的建立及其应用 [J].岩土工程学报,1998,20(6):62-66.
[13] 朱珍德,邢福东,渠文平,等.岩石-混凝土两相介质胶结面粗糙系数的分形描述 [J].煤炭学报,2006,31(1):20-25.
[14] DESAI C S,MA Y Z.Modeling of joints and interfaces using the Disturbed-stated concept [J].International Journal for Numerical and analytical Methods in Geomechanics,1992,16(1):623-653.
[15] 董盛时,董兰凤,温智,等.青藏冻结粉土与混凝土基础接触面本构关系研究 [J].岩土力学,2014,35(6):1629-1633.
[16] 杨平,赵联桢,王国良.冻土与结构接触面循环剪切损伤模型 [J].岩土力学,2016,37(5):1217-1223.
[17] HU L,PU J.Testing and modeling of soil-structure interface [J].Journal of Geotechnical and Geoenvironmental Engineering,2004,130(8):851-860.
[18] 陈良致,温智,董盛时,等.青藏冻结粉土与玻璃钢接触面本构模型研究 [J].冰川冻土,2016,38(2):402-408
[19] PARAMESWARAN V R.Creep of model piles in frozen soil [J].Canadian Geotechnical Journal,1979,16(1):69-77.
[20] PARAMESWARAN V R.Adfreeze strength of model piles in ice Canadian [J].Geotechnical Journal 1981,18(1):8-16.
[21] LIU J K,LV P,CUI Y.Experimental study on direct shear behavior of frozen soil-concrete interface [J].Cold Regions Science and Technology 2014,104:1-6.
[22] NIDOWICZ B,SHUR Y L.Russian and North American approaches to pile design in relation to frost action permafrost [C].In Proceedings of the Seventh International Conference on Permafrost.Yellowknife,Canada,1998.
[23] ALFANO G,SACCO E.Combining interface damage and friction in a cohesive-zone model [J].International Journal for Numerical Methods in Engineering,2006,68(5):542-582.
[24] ZOU Z,HAMEED M.Combining interface damage and friction in cohesive interface models using an energy based approach [J].Composites Part A:Applied Science and Manufacturing,2018,112:290-298.
[25] NIAN G,LI Q,XU Q,et al.A cohesive zone model incorporating a Coulomb friction law for fiber-reinforced composites [J].Composites Science and Technology,2018,157:195-201.
[26] SNOZZI L,GATUINGT F,MOLINARI J F.A meso-mechanical model for concrete under dynamic tensile and compressive loading [J].International journal of fracture 2012,178(1):179-194.
[27] SERPIERI R,ALBARELLA M,SACCO E.A 3D microstructured cohesive-frictional interface model and its rational calibration for the analysis of masonry panels [J].International Journal of Solids and Structures 2017,122:110-127.
[28] LIU J K,LV P,CUI Y.Experimental study on direct shear behavior of frozen soil-concrete interface[J].Cold Regions Science and Technology 2014,104:1-6.
[29] BIGGAR K W,SEGO D C.The strength and deformation behaviour of model adfreeze and grouted piples in saline frozen soils [J].Canadian Geotechnical Journal,2011,30(2):319-337.
[30] PERETRUKHIN N A,DUBNOV Y B,MERENKOV M D.Study of the interaction of heaving ground with individual foundations [C].Proceedings 2nd International Conference on Permafrost.USSR Contribution,1978.
[31] CHABOCHE J L,GIRARD R,SCHAFF A.Numerical analysis of composite systems by using interphase/interface models [J].Computational Mechanics,1997,20(1):3-11.
[32] 何鹏飞,马巍,穆彦虎,等.冻土-混凝土界面冻结强度特征与形成机理研究 [J].农业工程学报,2018,34(23):127-133.
[33] WANG T L,WANG H H,HU T F,et al.Experimental study on the mechanical properties of soil-structure interface under frozen conditions using an improved roughness algorithm [J].Cold Regions Science and Technology 2019,158:62-68.
[34] ZHAO L,YANG P,ZHANG L C,et al.Cyclic direct shear behaviors of an artificial frozen soil-structure interface under constant normal stress and sub-zero temperature [J].Cold Regions Science and Technology,2017,133:70-81.