3 papers
math.NA2025
Far-field displacement singularity elimination for time-dependent complex variable method on quasi-three dimensional gravitational shallow tunnelling
Luo-bin Lin, Fu-quan Chen, Chang-jie Zheng +1
This paper identifies the nonzero resultant and consequent unique displacement singularity of time-dependent complex variable method on quasi-three dimensional shallow tunnelling i…
math.NA2025
Complex variable solution on asymmetrical sequential shallow tunnelling in gravitational geomaterial considering static equilibrium
Luo-bin Lin, Fu-quan Chen, Change-jie Zheng +1
Asymmetrical sequential excavation is common in shallow tunnel engineering, especially for large-span tunnels. Owing to the lack of necessary conformal mappings, existing complex v…
math.NA2024
Bidirectional conformal mapping for over-break and under-break tunnelling and its application in complex variable method
Luobin Lin, Fuquan Chen, Changjie Zheng +1
Over-break and under-break excavation is very common in practical tunnel engineering with asymmetrical cavity contour, while existing conformal mapping schemes of complex variable…