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Numerical modelling of rock fracture with a Hoek-Brown viscoplastic-damage model implemented with polygonal finite elements

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


Original languageEnglish
Title of host publicationGeomechanics and Geodynamics of Rock Masses, Volume 1: Proceedings of the 2018 European Rock Mechanics Symposium
EditorsVladimir Litvinenko
PublisherCRC Press
ISBN (Electronic)9780429461774
Publication statusPublished - May 2018
Publication typeA4 Article in a conference publication
EventEuropean Rock Mechanics Symposium - St. Petersburg, Russian Federation
Duration: 22 May 201826 May 2018


ConferenceEuropean Rock Mechanics Symposium
CountryRussian Federation
CitySt. Petersburg


In the present paper, the rock mineral structure is described as a Voronoi diagram where the Voronoi cells are polygonal finite elements. The minerals constituting the rock are represented by random clusters of polygonal finite elements. Rock fracture is described in the continuum sense by using a damage-viscoplasticity model based on the Hoek-Brown criterion. Due to the asymmetry of the tension and compression behavior of rocks, separate scalar damage variables, driven by viscoplastic strain, are employed in tension and compression. The system equation of motion are solved by explicit time marching since the final aim of this research project is to model transient problems with contact loading (such as percussive rock drilling). In the numerical examples, the capabilities of the present numerical approach are demonstrated. Specifically, uniaxial
tension and compression tests of a numerical rock sample are simulated under plane strain conditions. It is shown that the present method can capture the salient features, including the stress-strain response and the failure modes, of typical rock behavior in these constitutive tests.

Publication forum classification

Field of science, Statistics Finland