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Damage-viscoplastic model based on the Hoek-Brown criterion for numerical modeling of rock fracture

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Original languageEnglish
Pages (from-to)99-114
Number of pages16
JournalRakenteiden mekaniikka
Issue number2
Publication statusPublished - 2015
Publication typeA1 Journal article-refereed


This article presents a phenomenological damage-viscoplastic model based on the empirical Hoek-Brown criterion for numerical modeling of rock fracture. The viscoplastic part of the model is formulated in the spirit of the consistency model by Wang (1997). Isotropic damage model with separate damage variables in tension and compression is employed to describe the stiffness and strength degradation. The model is implemented with the FE method using the constant strain triangle elements. The equations of motion are solved with the explicit time
marching scheme. In the numerical examples, after demonstrating the model response at the material point level, confined compression and uniaxial tension tests on rock are simulated as quasi-static problems. Moreover, the dynamic three-point bending of a notched semicircular disc test is simulated in order to demonstrate the model predictions under dynamic loading conditions.

Publication forum classification

Field of science, Statistics Finland