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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
Complex variable solution on over-/under-break shallow tunnelling in gravitational geomaterial with reasonable far-field displacement
Luo-bin Lin, Fu-quan Chen, Jin-ping Zhuang
Over-/under-break excavation is a common phenomenon in shallow tunnelling, which is nonetheless not generally considered in existing complex variable solutions. In this paper, a ne…