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math.NA2024

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…

math.NA2024

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.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…

math.NA20231 cited

A new complex variable solution on noncircular shallow tunnelling with reasonable far-field displacement

Luo-bin Lin, Fu-quan Chen, Shang-shun Lin

A new mechanical model on noncircular shallow tunnelling considering initial stress field is proposed in this paper by constraining far-field ground surface to eliminate displaceme…