Journal Article

Improvement of Discontinuous Deformation Analysis Incorporating Implicit Updating Scheme of Friction and Joint Strength Degradation

Kikumoto Mamoru, Sueoka Tomohiro, Hashimoto Ryota, Koyama Tomofumi

2021

Overview

Dynamic analyses of jointed rock masses, such as slope stability evaluations, have been intensively studied in recent years; discontinuous deformation analysis (DDA) is one of the feasible methods in this field. To predict the failure mode, the kinematic energy, and the reaching distance after the collapse, the friction characteristics of the rock joints must be computed correctly. However, conventional DDA often cannot easily determine appropriate analysis parameters that can predict the sliding displacement between the rock masses precisely, and at worst, the computation fails. In this study, to enhance the robustness and accuracy of the DDA, the updating procedure of the friction force is investigated. An implicit updating scheme of friction force based on the elasto-plastic framework, the so-called return mapping algorithm, and the Newton–Raphson iteration is newly introduced to the DDA. Additionally, the transition algorithm between the static and the residual friction is also implemented to reproduce friction strength degradation. The performance of the proposed full implicit DDA is examined through the numerical examples and improvements in the robustness, accuracy, and computational efficiency for the dynamic sliding problems along the rock joint were confirmed.

• Publisher: Springer Nature B.V
• Subject: Accuracy / Algorithms / Aquatic reptiles / Computation / Computer applications / Deformation / Deformation analysis / Degradation / Dynamic stability / Failure modes / Friction / Iterative methods / Jointed rock / Joints (timber) / Performance degradation / Robustness (mathematics) / Rock masses / Rocks / Sliding / Slope stability / Slumping / Stability analysis