Development of an adaptive meshing upper bound limit analysis method for large deformation axisymmetric geotechnical problems

针对大变形轴对称岩土工程问题,开发了一种自适应网格划分上限分析方法

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Abstract

This research introduces the development of a sequential limit analysis (SLA) method in OPTUM. The plane-strain analysis capability of the original SLA has been extended to encompass both plane-strain and axis-symmetric problems, and the usability has been expanded to a broader spectrum of users. Moreover, refinements in addressing nodal velocities during soil collapse under gravity, specifically in scenarios featuring a stiff soil berm leading to slope instability, have been implemented, to enable proper modelling of more extreme conditions and complex model geometries. A detailed validation has been made against various penetration problems. It is revealed that SLA simulations can be executed with displacement increments at the order of 1% of the characteristic size of the object. In addition, a succinct parametric study on ball penetration is presented. Penetration resistance with strain softening is reduced by up to 34.5% compared to the non-softening case. An equivalent plastic strain factor was adopted to enhance the accuracy of measuring soil strength through ball penetrometer tests. The enhanced SLA method could also serve as a powerful tool for analysing large deformation soil-structure interaction problems for piles, spudcans, and cone / ball penetrometers in offshore engineering.

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