Geomechanics and Engineering

Volume 44, Number 2, 2026, pages 247-275

DOI: 10.12989/gae.2026.44.2.247

Field and numerical analysis of loading and unloading on twin-tunnelling-induced pile bending responses and risk analysis via bending energy density

Liangyi Cai , Tingjin Liu , Huashan Zhong , Zhixiong Li , Wufeng Mao , Junxian Xiao , Zhijie Peng , Zhan Liang

Abstract

This study employed distributed fiber-optic sensors (DFOSs) to examine twin-tunnelling-induced pile bending responses and to identify the primary influencing factors across different tunnelling stages. The high spatial resolution of DFOS measurements enabled detailed analysis of the bending strain energy (U) along the pile. Throughout each tunnel advancement, both U and negative peak bending moment (NPBM) underwent one loading and one unloading process, exhibiting a consistent positive correlation. This investigation introduced two crucial parameters: the negative peak energy density (Un), derived from NPBM, and the mean strain energy density (Um), derived from U. The long-term measurements revealed that the Um/Un ratio remained within a narrow interval (width < 0.10) throughout most Lpt intervals, allowing a zero-intercept linear function to serve as the development line for normal strain energy concentration. The level of strain energy concentration, which is correlated with risk, are quantifiable via the deviation value of Un from the development line. In particular, positive and negative deviation values of Un occurred at the peak and steady states, respectively, corresponding to high and low strain energy concentrations. Additionally, the development of pile-soil interface contact stress was investigated using threedimensional numerical modelling, providing deeper insight into the loading and unloading mechanisms.

Key Words

distributed fiber-optic sensors; loading and unloading processes; pile bending responses; strain energy concentration; twin tunnels

Address

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

Loading…