Abstract

In this work, we propose a modified phase-field model for simulating the evolution of mixed mode fractures and compressive driven fractures in porous artificial rocks. For the purpose of validation, the behaviour of artificial rock samples, with either a single or double saw cuts, under uniaxial plane strain compression has been numerically simulated. The simulated results are compared to experimental data, both qualitatively and quantitatively. It is shown that the proposed model is able to capture the commonly observed propagation pattern of wing cracks emergence followed by secondary cracks driven by compressive stresses. Additionally, the typical types of complex crack patterns observed in experimental tests are successfully reproduced, as well as the critical loads.

Highlights

  • The prevention of fracture-induced failure is an important aspect to consider in most designs

  • In this work we have presented a modified phase-field fracture model for simulation of wing crack and compaction band propagation in porous rocks

  • The presented model introduces a split in the crack driving force to capture the characteristic behaviour of fractures in porous rock

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Summary

Introduction

The prevention of fracture-induced failure is an important aspect to consider in most designs. Nguyen et al (2016) compared phasefield simulations with micro-CT images of tension cracks in lightweight plaster and concrete and identified material parameters by inverse analysis These works, are based on models not specific to rock-like materials. Based on this idea, Zhang et al (2017) proposed a phase-field fracture model that distinguishes between Mode I and Mode II toughness for energy Their suggested split does not allow the uncoupling between deviatoric and volumetric strain, which is a common split in rock mechanics. 2, we give an outline of the proposed modified phase-field model for brittle fracture including a brief description of the numerical formulation in Sect.

Crack Path Prediction with the Unified
Formulation of the Modified Model
Griffith’s Theory of Brittle Failure
Modified Phase‐Field Approximation
Numerical Formulation
Numerical Examples
Single Edge Notched Shear Test
Uniaxial Compression of CPIR09 Sample with One Initial Inclined Cut
Uniaxial Compression of CPIR09 Sample with Two Initial Inclined Cuts
Conclusion
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