Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling

HUANG Zhenwei

doi:10.3724/j.gyjzG23090909

Volume 56 Issue 4

Apr. 2026

Turn off MathJax

Article Contents

Article Navigation > INDUSTRIAL CONSTRUCTION > 2026 > 56(4): 151-158

HUANG Zhenwei. Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 151-158. doi: 10.3724/j.gyjzG23090909

Citation:

HUANG Zhenwei. Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 151-158. doi: 10.3724/j.gyjzG23090909

HUANG Zhenwei. Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 151-158. doi: 10.3724/j.gyjzG23090909

Citation:

HUANG Zhenwei. Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 151-158. doi: 10.3724/j.gyjzG23090909

PDF( 1450 KB)

Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling

doi: 10.3724/j.gyjzG23090909

HUANG Zhenwei

China Railway Construction Group Co., Ltd., Beijing 100040, China

Received Date: 2023-09-09
Available Online: 2026-06-06
Publish Date: 2026-04-20

Abstract

Abstract

Aiming at the thermo-mechanical coupling effects in energy piles during operation， the controlling differential equations for the pile displacement function and the soil vertical displacement transfer function were established based on energy principles and the variational method. The unknown constants were determined using boundary conditions. The analytical solutions for the thermomechanical behavior of end-bearing energy piles and friction energy piles under arbitrary thermo-mechanical load combinations were derived. Compared with the experimental results， the accuracy and rationality of the proposed method were verified， and the influence of slenderness ratio and temperature variations on the mechanical behavior of end-bearing energy piles and floating energy piles was further investigated.
- pile foundation engineering,
- energy pile,
- variational method,
- elastic solution,
- load-deformation behavior

FullText(HTML)

References(25)

References

[1]	BOURNE-WEBB P J，FREITAS T M B，ASSUNÇÃO R M F. A review of pile-soil interactions in isolated，thermally-activated piles［J］. Computers and Geotechnics，2019，108：61-74.
[2]	MOHAMAD Z，FARDOUN F，MEFTAH F. A review on energy piles design，evaluation，and optimization［J］. Journal of Cleaner Production，2021，292：125802.
[3]	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）：3351-3362.
[4]	MORADSHAHI A，FAIZAL M，BOUAZZA A，et al. Effect of nearby piles and soil properties on thermal behaviour of a field-scale energy pile［J］. Canadian Geotechnical Journal，2021，58（9）：1351-1364.
[5]	MENEGAZZO D，LOMBARDO G，BOBBO S，et al. State of the art，perspective and obstacles of ground-source heat pump technology in the European building sector：A review［J］. Energies，2022，15（7）：2685.
[6]	NG C W W，GUNAWAN A，LALOUI L. Centrifuge modelling of energy piles subjected to heating and cooling cycles in clay［J］. Geotechnique Letters，2014，4（4）：310-316.
[7]	JIANG G，LIN C，SHAO D，et al. Thermo-mechanical behavior of driven energy piles from full-scale load tests［J］. Energy and Buildings，2021，233：110668.
[8]	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.
[9]	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.
[10]	BOURNE-WEBB P J，AMATYA B，SOGA K. A framework for understanding energy pile behaviour［J］. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering，2013，166（2）：170-177.
[11]	FAIZAL M，BOUAZZA A，SINGH R M. An experimental investigation of the influence of intermittent and continuous operating modes on the thermal behaviour of a full scale geothermal energy pile［J］. Geomechanics for Energy and the Environment，2016，8：8-29.
[12]	FAIZAL M，BOUAZZA A，HABERFIELD C，et al. Axial and radial thermal responses of a field-scale energy pile under monotonic and cyclic temperature changes［J］. Journal of Geotechnical and Geoenvironmental Engineering，ASCE，2018，144（10）：04018072.
[13]	MCCARTNEY J S，ROSENBERG J E，SULTANOVA A. Engineering performance of thermo-active foundations［M］// GeoTrends:the Progress of Geological and Geotechnical Engineering in Colorado at the Cusp of a New Decade. Boulder：Colorado School of Mines，2011：27-42.
[14]	KRAMER C A，BASU P. Performance of a model geothermal pile in sand［C］// Proceedings of the 8th International Conference on Physical Modelling in Geotechnics，Perth. Leiden：CRC Press/Balkema，2014：771-777.
[15]	GOODE Ⅲ J C，MCCARTNEY J S. Centrifuge modeling of end-restraint effects in energy foundations［J］. Journal of Geotechnical and Geoenvironmental Engineering，2015，141（8）：04015034.
[16]	GASHTI E H N，MALASKA M，KUJALA K. Evaluation of thermo-mechanical behaviour of composite energy piles during heating/cooling operations［J］. Engineering Structures，2014，75：363-373.
[17]	王成龙，刘汉龙，孔纲强，等. 不同刚度约束对能量桩应力和位移的影响研究［J］. 岩土力学，2018，39（11）：4261-4268.
[18]	KNELLWOLF C，PERON H，LALOUI L. Geotechnical analysis of heat exchanger piles［J］. Journal of Geotechnical and Geoenvironmental Engineering，ASCE，2011，137（10）：890-902.
[19]	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.
[20]	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.
[21]	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，ASCE，2020，146（7）：04020047.
[22]	OZUDOGRU T Y，OLGUN C G，ARSON C F. Analysis of friction-induced thermo-mechanical stresses on a heat exchanger pile in isothermal soil［J］. Geotechnical and Geological Engineering，2015，33（2）：357-371.
[23]	SALGADO R，SEO H，PREZZI M. Variational elastic solution for axially loaded piles in multilayered soil［J］. International Journal for Numerical and Analytical Methods in Geomechanics，2013，37（4）：423-440.
[24]	STEWART M A，MCCARTNEY J S. Centrifuge modeling of soil-structure interaction in energy foundations［J］. Journal of Geotechnical and Geoenvironmental Engineering，ASCE，2013，139（4）：04013044.
[25]	IODICE C，DI LAORA R，MANDOLINI A. Analytical solutions for ultimate limit state design of thermal piles［J］. Journal of Geotechnical and Geoenvironmental Engineering，ASCE，2020，146（5）：04020016.