Multi-scale limit load analysis for discontinuous rock mass based on the homogenization method

A new method to evaluate the strength of rock mass structures is proposed and examined. The method is based on the collapse load analysis of elasto-perfectly plastic material along with the homogenization method, which enables the multi-scale analyses for heterogeneous media. The homogenization process replaces a rock mass with cracks by an equivalent continuum medium with macroscopic stiffness while the failure criterion for the rock mass is estimated in the localization process. It is shown that both the averaged stiffness and the macroscopic failure criterion of the discontinuous rock mass are numerically obtained via the finite element analyses. Thus, the failure strength of a rock mass structure is evaluated by the collapse load analysis in the form of Linear Programming with the macroscopic failure criterion. This is the first attempt to apply the homogenization method to the strength analysis of rock mass. Copyright © 1999 John Wiley & Sons, Ltd.     

Layout design of rockbolts for natural ground reinforcement

The present study addresses a layout design of rockbolts for reinforcing natural ground structures applying a special optimization method, called multiphase layout optimization. Rockbolts are used to tighten loosed natural ground, and the layout of rockbolts are determined without sufficient information about the physical properties of the ground materials. Because of this uncertainty, unexpected deformation often occurs at the excavation surface of natural ground. In that case, it is requested to determine an effective layout of the additional rockbolts promptly with respect to the actual deformation at the construction site. However, it is not easy to determine the optimal layout because of its complexity, and consequently, it has no choice but to determine the layout in an empirical way. This study introduces a numerical approach to determine an optimal layout of rockbolts with respect to arbitrarily possible deformation of natural ground. The objective is to maximize the stiffness of the overall ground structure reinforced with rockbolts. For optimization, a gradient‐based optimization scheme is applied because of its numerical efficiency. It was verified from a series of numerical examples that this method has great potential to improve the stiffness of the overall ground structure and shows a certain applicability to a practical design. Copyright © 2013 John Wiley & Sons, Ltd.     

Image‐based modelling and analysis of microstructures for two‐scale problems in geomechanics

This paper focuses on the geometry modelling and numerical analysis of microstructures of geomaterials employing the concept of image‐based engineering. The novel modelling and analysis techniques with digital images are incorporated with the mathematical homogenization method to study the interaction between individual phases, each of whose shape and spatial distribution are irregular. Owing to the distinctive features of these computational techniques, the evaluation of homogenized properties for geomaterials provides the reliable information about the micro‐ or macroscopic mechanical behaviours for engineering practice. It is, naturally, inevitable that engineers' demands on safety and efficient design place emphasis on quantitative estimates for these values. Thus, calibration accompanied with actual measurements comes within the scope of this study so that these properties would be realistic and practical from the engineering viewpoints. Copyright © 2002 John Wiley & Sons, Ltd.     

Correction to: Mapping method of rainfall-induced landslide hazards by infiltration and slope stability analysis

Landslides - A Correction to this paper has been published: https://doi.org/10.1007/s10346-021-01642-4     

Mapping method of rainfall-induced landslide hazards by infiltration and slope stability analysis

Landslides - By utilizing the Green-Ampt infiltration equation and the infinite slope stability model, a method for analyzing shallow slope failures caused by rainfall is developed. With rainfall...