Research Articles | Challenge Journal of Structural Mechanics

Bonded particles models of rock plates with circular cavities in uniaxial and biaxial compression

Michail A. Lotidis, Pavlos P. Nomikos, Alexandros I. Sofianos



In this paper, a distinct elements code is used to perform a numerical investigation for the size and stress gradient effects on the fracture initiation and propagation around single or pairs of pre-existing cavities in brittle rock. To investigate the rock fracture around cavities and to assess the potential of the numerical model to simulate this behavior, published laboratory physical model on granite is simulated numerically with a Bonded Particles Model (BPM). The numerical model is presented and the calibration of the BPM micro-parameters is described. Then, the calibrated BPMs are used to investigate the effect of the size of the cavity on the primary, secondary and side wall fracturing, as well as on the fracturing modes. Moreover, BPMs with two circular cavities were used to study the interaction of these holes of the same diameter and to investigate the importance of their relative distance. Finally, the simulated material was studied by biaxial tests on BPMs with a pre-existing hole.


bonded particles model; numerical simulation; granite; rock fracture

Full Text:



Carter BJ, Lajtai EZ, Petukhov A (1991). Primary and remote fracture around underground cavities. International Journal for Numerical and Analytical Methods in Geomechanics, 15(1), 21-40.

Itasca Consulting Group Inc (2014). PFC 5.0 Documentation.

Lajtai EZ (1971). A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics, 11, 129-156.

Lotidis MA (2014). The Approach of Synthetic Rock Mass for the Numerical Simulation of the Brittle Rocks' Failure around Underground Openings. Diploma thesis, School of Mining and Metallurgical Engineering NTUA, Athens, Greece.

Lotidis MA, Nomikos PP, Sofianos AI (2015). A numerical investigation of rock fracture around cavities in compression. Proceedings of Eurock 2015: Future Development of Rock Mechanics, Salzburg, Austria, 719-724.

Potyondy DO, Cundall PA (2004). A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 41, 1329-1364.

Potyondy DO (2012). A flat-jointed bonded-particle material for hard rock. Proceedings of the 46th US Rock Mechanics Symposium, Chicago, USA, paper ARMA 12-501.


Peer-review under responsibility of the organizing committee of ICEM17.


  • There are currently no refbacks.