Abstract

Rock fracture in geo-materials is a complex phenomenon due to its intrinsic characteristics and the potential external loading conditions. As a result, these materials can experience intricate fracture patterns endowing various cracking phenomena such as: branching, coalescence, shielding, and amplification, among many others. In this article, we present a numerical investigation concerning the applicability of an original bulk-interface fracture simulation technique to trigger such phenomena within the context of the phase field approach for fracture. In particular, the prediction of failure patterns in heterogenous rock masses with brittle response is accomplished through the current methodology by combining the phase field approach for intact rock failure and the cohesive interface-like modeling approach for its application in joint fracture. Predictions from the present technique are first validated against Brazilian test results, which were developed using alternative phase field methods, and with respect to specimens subjected to different loading case and whose corresponding definitions are characterized by the presence of single and multiple flaws. Subsequently, the numerical study is extended to the analysis of heterogeneous rock masses including joints that separate different potential lithologies, leading to tortuous crack paths, which are observed in many practical situations.

Highlights

  • Fracture events in geological materials are phenomena of notable importance for the safety and stability of geological masses

  • Due to the advent of novel modeling techniques and the advances in the computational capabilities, the usage of numerical methods for reliable predictions of failure in rock masses has suffered a tremendous improvement in the last few years, becoming a plausible alternative for the analysis of geo-materials

  • Methods based on continuum damage mechanics (CDM) encompass the stiffness degradation, by defining a set of internal-damage variables [21]

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Summary

Introduction

Fracture events in geological materials are phenomena of notable importance for the safety and stability of geological masses. Due to the advent of novel modeling techniques and the advances in the computational capabilities, the usage of numerical methods for reliable predictions of failure in rock masses has suffered a tremendous improvement in the last few years, becoming a plausible alternative for the analysis of geo-materials In this setting, the presence of flaws such as defects/discontinuities in rocks leads to a substantial reduction of the strength of rock mass, as compared to the intact rock. The existence, initiation, and propagation of fracture affect the mechanical response of the rock mass, and the construction of the engineering structures This dependence of the strength and deformability of the rock mass upon the intact rock and the characteristic discontinuities (fracture and joints) make the deep understanding of such fracture processes a challenging task. With the aim of achieving a deep understanding of these phenomena, a great deal of research has been conducted in literature to characterize the crack propagation in rocks, which are succinctly discussed from the experimental and numerical standpoints in Sections 1.1 and 1.2, respectively

Experimental Investigations
Numerical Investigations
Objectives and Organization
Fundamentals of the Phase Field Approach for Brittle Fracture
Basic Concepts
Numerical Implementation
Bulk Failure Predictions
Numerical Predictions of Rock Fracture
Uniaxial Compression Test
Uniaxial Tensile Test
Compressive-Traction and Traction-Traction Tests
General Aspects
Variational Form and Finite Element Formulation
General Considerations
Application to Rock Salt Fracture with Inclined Interfaces
Numerical Investigation
Specimen with Two Inclined Flaws and a Horizontal Joint
Conclusions
Full Text
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