(1. College of Civil Engineering and Architecture,Guangxi University,Nanning,Guangxi 530004,China;2. Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education,Guangxi University,Nanning,Guangxi 530004,China;
3. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety,Guangxi University,Nanning,Guangxi 530004,China)
Abstract:To investigate the effect of pile-side soil softening on the thermal response of energy piles,based on the load transfer method and the energy balance principle,a nonlinear analysis method for the thermal response of energy piles considering the softening of pile-side soil is proposed. In the method,the relationship between pile-side soil shear stress and displacement is described by a skin friction softening model,the relationship between pile-tip reaction and displacement is captured by a hyperbolic model,and the Masing criterion is introduced to construct the loading and unloading function of soil,which is compared with the existing experimental and numerical methods to verify the correctness of the method in this paper. Finally,the influence of relevant softening parameters on the thermal response of the energy piles is analyzed,and the influence of the pile head stiffness coefficient on the null point is explored. The results show that:(1) both the failure ratio of skin friction and the ultimate shear displacement ratio have an impact on the thermal stress,where the effect of both on the thermal stress presents different change rules under the same thermal load,and the thermal stress caused by both increases with the increase of the thermal load. (2) When the superstructure load is small(≤10% Pu),the value of the thermal stress is larger,and the influence of parameter on the thermal stress is more significant compared with parameter ,but the difference decreases with the increase of the superstructure load. (3) With the increase of the pile head stiffness coefficient ,the null point gradually approaches the pile head,and its position corresponding to the heating condition is always slightly lower than that of the cooling condition.
[1] GUO S Y,DA Y,SHAN H,et al. Modelling building energy consumption in China under different future scenarios[J]. Energy,2021,214:119063.
[2] WAHEED R,SAHAR S,CHEN W. The survey of economic growth,energy consumption and carbon emission[J]. Energy Reports,2019,5:1 103–1 115.
[3] DE CIAN E,IAN SUE W. Global energy consumption in a warming climate[J]. Environmental and resource economics,2019,72(2):365–410.
[4] HAMADA Y,SAITOH H,NAKAMURA M. Field performance of an energy pile system for space heating[J]. Energy and Buildings,2007,39(5):517–524.
[5] 江强强,焦玉勇,骆 进,等. 能源桩传热与承载特性研究现状及展望[J]. 岩土力学,2019,40(9):3 351–3 362.(JIANG Qiangqiang,JIAO Yuyong,LUO Jin,et al. Review and prospect on heat transfer and bearing performance of energy piles[J]. Rock and Soil Mechanics,2019,40(9):3 351–3 362.(in Chinese))
[6] LALOUI L,NUTH M,VULLIET L,et al. Experimental and numerical investigations of the behaviour of a heat exchanger pile[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2006,30(8):763–781.
[7] BOURNE-WEBB P J,AMATYA B,SOGA K,et al. Energy pile test at Lambeth College,London:geotechnical and thermodynamic aspects of pile response to heat cycles[J]. Géotechnique,2009,59(3):237–248.
[8] SEED H B,REESE L C. The action of soft clay along friction piles[J]. Transactions of the American Society of Civil Engineers,1957,122(1):731–754.
[9] KNELLWOLF C,PERON H,LALOUI L. Geotechnical analysis of heat exchanger piles[J]. Journal of Geotechnical and Geoenvironmental Engineering,2011,137(10):890–902.
[10] 费 康,戴 迪,洪 伟. 能量桩单桩工作特性简化分析方法[J]. 岩土力学,2019,40(1):70–80.(FEI Kang,DAI Di,HONG Wei. A simplified method for working performance analysis of single energy piles[J]. Rock and Soil Mechanics,2019,40(1):70–80.(in Chinese))
[11] CHEN D. Soil structure interaction in energy piles[M. S. Thesis][D]. San Diego:University of California,2016.
[12] 董龙龙,吴文兵,梁荣柱,等. 基于指数模型的能源桩长期响应研究[J]. 岩石力学与工程学报,2021,40(3):629–639.(DONG Longlong,WU Wenbing,LIANG Rongzhu,et al. Long-term responses of energy piles based on exponential model[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(3):629–639.(in Chinese))
[13] 黄胤培,蒋 刚,路宏伟,等. 基于指数模型的能源桩热–力耦合荷载传递法[J]. 南京工业大学学报:自然科学版,2019,41(1):96–103.(HUANG Yingpei,JIANG Gang,LU Hongwei,et al. Thermo-mechanical coupling load transfer method of energy pile based on exponential model[J]. Journal of Nanjing Tech University:Natural Science,2019,41(1):96–103.(in Chinese))
[14] PREVOST J H,HUGHES T J R. Finite element solution of elastic-plastic boundary value problems[J]. Journal of Applied Mechanics,1984,48(1):68–76
[15] 沈珠江. 应变软化材料变形计算中的若干问题[J]. 江苏力学,1982,6(3):1–4.(SHEN Zhujiang. Questions on deformation calculation of strain softening materials[J]. Journal of Jiangsu Mechanics,1982,6(3):1–4.(in Chinese))
[16] DI DONNA A,FERRARI A,LALOUI L. Experimental investigations of the soil-concrete interface:Physical mechanisms,cyclic mobilization,and behaviour at different temperatures[J]. Canadian Geotechnical Journal,2016,53(4):659–672.
[17] ELZEINY R,SULEIMAN M T,XIAO S,et al. Laboratory-scale pull-out tests on a geothermal energy pile in dry sand subjected to heating cycles[J]. Canadian Geotechnical Journal,57(11):1 754–1 766.
[18] 刘 杰,张可能. 层状地基中单桩轴向荷载传递全过程分析[J]. 土木工程学报,2004,37(2):38–44.(LIU Jie,ZHANG Keneng. Analyzing of axial load-transfer foe single pile in layered ground[J]. China Civil Engineering Journal,2004,37(2):38–44.(in Chinese))
[19] 刘 杰,张可能,肖宏彬. 考虑桩侧土软化时单桩荷载–沉降关系的解析算法[J]. 中国公路学报,2003,16(2):62–65.(LIU Jie,ZHANG Keneng,XIAO Hongbin. Analytical method of load–settlement relation on single pile under pile-side softening[J]. China Journal of Highway and Transport,2003,16(2):62–65.(in Chinese))
[20] SURYATRIYASTUTI M E,MROUEH H,BURLON S. A load transfer approach for studying the cyclic behavior of thermo-active piles[J]. Computers and Geotechnics,2014,55:378–391.
[21] 罗 喆,胡 彪. 基于热力荷载传递原理的能量桩长期响应研究[J]. 防灾减灾工程学报,2019,39(4):549–555.(LUO Zhe,HU Biao. Long-term response of energy pile based on thermo-mechanical load–transfer principle[J]. Journal of Disaster Prevention and Mitigation Engineering,2019,39(4):549–555.(in Chinese))
[22] NAJMA A,SHARMA J. Incremental load transfer analysis of an energy pile under arbitrary mechanical and thermal loads[J]. Geomechanics for Energy and the Environment,2021,28:100243.
[23] 张乾青,李连祥,李术才,等. 成层土中单桩受力性状简化算法[J]. 岩石力学与工程学报,2012,31(增1):3 390–3 394.(ZHANG Qianqing,LI Lianxiang,LI Shucai,et al. Simplified implified analytical method for response prediction of single pile embedded into layered soils[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.1):3 390–3 394.(in Chinese))
[24] RANDOLPH M F,WROTH C P. An analysis of the vertical deformation of pile groups[J]. Geotechnique,1979,29(4):423–439.
[25] MAGHSOODI S,CUISINER O,MASROURI F. Thermal effects on mechanical behaviour of soil-structure interface[J]. Canadian Geotechnical Journal,2020,57(1):32–47.
[26] IODICE C,DI LAORA R,MANDOLINI A. Analytical solutions for ultimate limit state design of thermal piles[J]. Journal of Geotechnical and Geoenvironmental Engineering,2020,146(5):04020016.
[27] OLIA A S R,PERIC D. Thermomechanical soil-structure interaction in single energy piles exhibiting reversible interface behavior[J]. International Journal of Geomechanics,2021,21(5):04021065.
[28] MIMOUNI T,LALOUI L. Towards a secure basis for thedesign of geothermal piles[J]. Acta Geotechnica,2014,9(3):355–366.
[29] PERIC D,COSSEL A E,SARNA S A. Analytical solutions for thermomechanical soil structure interaction in end-bearing energy piles[J]. Journal of Geotechnical and Geoenvironmental Engineering,2020,146(7):04020047.
[30] OUYANG Y,SOGA K,LEUNG Y F. Numerical Back-Analysis of Energy Pile Test at Lambeth College,London[C]//Geo-frontiers Congress:Advances in Geotechnical Engineering. Dallas:Geotechnical Special Publication,2011:440–449.