Elastic Displacement Solution of Energy Piles Under Thermo-Mechanical Coupling

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.