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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.NA2023
Reasonable mechanical model on shallow tunnel excavation to eliminate displacement singularity caused by unbalanced resultant
Luobin Lin, Fuquan Chen, Xianhai Huang
When considering initial stress field in geomaterial, nonzero resultant of shallow tunnel excavation exists, which produces logarithmic items in complex potentials, and would furth…
math.NA2023
Parallel generalized solutions of mixed boundary value problem on partially fixed unit annulus subjected to arbitrary traction
Luobin Lin, Fuquan Chen, Xianhai Huang
This paper provides two parallel solutions on the mixed boundary value problem of a unit annulus subjected to a partially fixed outer periphery and an arbitrary traction acting alo…