DOI: https://doi.org/10.15587/1729-4061.2017.116692

Introduction of the method of finite-discrete elements into the Abaqus/Explicit software complex for modeling deformation and fracture of rocks

Anatoliy Protosenya, Maxim Karasev, Valery Ochkurov

Abstract


The paper has considered development of a model within the framework of the method of finite-discrete elements for describing processes of rock deformation and fracture. Analysis of the methods of mathematical modeling of geomechanical processes which makes it possible to take into account the medium damage or fracture was presented. A physical model of rock fracture was proposed. It considers the fracture process as formation of microcracks of separation and shear or their combination. Examples of numerical modeling of loading a rock sample by the scheme of uniaxial compression and splitting by compression along generatrixes and in conditions of volume compression were considered. Formulation and results of simulation of development of a stress-strain state in the vicinity of the rock outcrop within the framework of the method of finite-discrete elements were presented.

Within the framework of the study, an algorithm of implementing the method of finite-discrete elements in the Abaqus/Explicit software complex for strength calculations including all main stages of forming the numerical model from generation of an elemental grid to specification of boundary conditions has been worked out. A software solution for generation of the elemental grid was developed and capabilities of the Abaqus/Explicit software complex were expanded. This solution allows one to generate elemental grids for bodies of arbitrary shapes taking into account presence of surfaces of weakening within the body, both in flat and spatial formulations. The capabilities of the Abaqus/Explicit software complex were expanded in the field of modeling rock strength under the conditions of volumetric compression. According to the results of the performed studies, it was established that modeling of fracture formation (formation of shear and separation cracks) at the microlevel has allowed us to reliably represent processes of rock deformation and fracture. The possibility of using the method of finite-discrete elements for prediction of development of geomechanical processes in the vicinity of underground structures was presented.

The presented study results allow us to extend the scope of the method of finite-discrete elements to solve the problems of geomechanics and form the basis for application of this method in solving engineering problems

Keywords


underground construction; rock; mechanics of fracture; method of finite-discrete elements

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References


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Olovyanniy, A. G. (2011). Matematicheskoe modelirovanie formirovaniya zon razrusheniya porod v bokah gornyh vyrabotok. Marksheyderskiy vestnik, 1, 50–53.

Zienkiewicz, O. C., Pande, G. N. (1977). Time-dependent multilaminate model of rocks – a numerical study of deformation and failure of rock masses. International Journal for Numerical and Analytical Methods in Geomechanics, 1 (3), 219–247. doi: 10.1002/nag.1610010302

Bazant, Z. P., Zi, G. (2002). Microplane constitutive model for porous isotropic rocks. International Journal for Numerical and Analytical Methods in Geomechanics, 27 (1), 25–47. doi: 10.1002/nag.261

Wittke, W., Wittke, M., Kiehl, J. R. (2012). Interaction of a Masonry Dam and the Rock Foundation. Geotechnical and Geological Engineering, 30 (3), 581–601. doi: 10.1007/s10706-012-9493-6

Lee, Y.-K., Pietruszczak, S. (2008). Application of critical plane approach to the prediction of strength anisotropy in transversely isotropic rock masses. International Journal of Rock Mechanics and Mining Sciences, 45 (4), 513–523. doi: 10.1016/j.ijrmms.2007.07.017

Munjiza, A., Andrews, K. R. F., White, J. K. (1999). Combined single and smeared crack model in combined finite-discrete element analysis. International Journal for Numerical Methods in Engineering, 44 (1), 41–57. doi: 10.1002/(sici)1097-0207(19990110)44:1<41::aid-nme487>3.0.co;2-a

Mahabadi, O. K., Grasselli, G., Munjiza, A. (2009). Numerical modelling of a Brazilian disc test of layered rocks using the combined finite-discrete element method. Proceedings of the 3rd CanadaeUS (CANUS) Rock Mechanics Symposium (RockEng09), 412–423.

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Lisjak, A., Tatone, B. S. A., Grasselli, G., Vietor, T. (2012). Numerical Modelling of the Anisotropic Mechanical Behaviour of Opalinus Clay at the Laboratory-Scale Using FEM/DEM. Rock Mechanics and Rock Engineering, 47 (1), 187–206. doi: 10.1007/s00603-012-0354-7

Gordeev, V. A., Il'yasov, B. T. (2015). Primenenie metoda konechno-diskretnyh ehlementov dlya prognozirovaniya deformaciy gornyh vyrabotok. Innovacionnye geotekhnologii v gornom dele. Ekaterinburg, 98–101.

Il'yasov, B. T. (2016). Modelirovanie dlitel'nogo razrusheniya massivov gornyh porod metodom konechno-diskretnyh ehlementov. Marksheyderskiy vestnik, 1, 48–52.

Stavrogin, A. N., Tarasov, B. G. (2001). Ehksperimental'naya fizika i mekhanika gornyh porod. Sankt-Peterburg: Nauka, 343.

Stavrogin, A. N., Protosenya, A. G. (1985). Prochnost' gornyh porod i ustoychivost' vyrabotok na bol'shih glubinah. Moscow: Nedra, 271.

Stavrogin, A. N., Protosenya, A. G. (1979). Plastichnost' gornyh porod. Moscow: Nedra, 301.

Karasev, M. A. (2016). Investigating Mechanical Properties of Argillaceous Grounds in Order to Improve Safety of Development of Megapolis Underground Space. International Journal of Applied Engineering Research, 11, 8849–8956.


GOST Style Citations


Olovyanniy, A. G. Matematicheskoe modelirovanie processov deformirovaniya i razrusheniya v treshchinovatyh massivah skal'nyh porod [Text] / A. G. Olovyanniy // Zapiski Gornogo instituta. – 2010. – Vol. 185. – P. 95–98.

Olovyanniy, A. G. Matematicheskoe modelirovanie formirovaniya zon razrusheniya porod v bokah gornyh vyrabotok [Text] / A. G. Olovyanniy // Marksheyderskiy vestnik. – 2011. – Issue 1. – P. 50–53.

Zienkiewicz, O. C. Time-dependent multilaminate model of rocks – a numerical study of deformation and failure of rock masses [Text] / O. C. Zienkiewicz, G. N. Pande // International Journal for Numerical and Analytical Methods in Geomechanics. – 1977. – Vol. 1, Issue 3. – P. 219–247. doi: 10.1002/nag.1610010302 

Bazant, Z. P. Microplane constitutive model for porous isotropic rocks [Text] / Z. P. Bazant, G. Zi // International Journal for Numerical and Analytical Methods in Geomechanics. – 2002. – Vol. 27, Issue 1. – P. 25–47. doi: 10.1002/nag.261 

Wittke, W. Interaction of a Masonry Dam and the Rock Foundation [Text] / W. Wittke, M. Wittke, J. R. Kiehl // Geotechnical and Geological Engineering. – 2012. – Vol. 30, Issue 3. – P. 581–601. doi: 10.1007/s10706-012-9493-6 

Lee, Y.-K. Application of critical plane approach to the prediction of strength anisotropy in transversely isotropic rock masses [Text] / Y.-K. Lee, S. Pietruszczak // International Journal of Rock Mechanics and Mining Sciences. – 2008. – Vol. 45, Issue 4. – P. 513–523. doi: 10.1016/j.ijrmms.2007.07.017 

Munjiza, A. Combined single and smeared crack model in combined finite-discrete element analysis [Text] / A. Munjiza, K. R. F. Andrews, J. K. White // International Journal for Numerical Methods in Engineering. – 1999. – Vol. 44, Issue 1. – P. 41–57. doi: 10.1002/(sici)1097-0207(19990110)44:1<41::aid-nme487>3.0.co;2-a 

Mahabadi, O. K. Numerical modelling of a Brazilian disc test of layered rocks using the combined finite-discrete element method [Text] / O. K. Mahabadi, G. Grasselli, A. Munjiza // Proceedings of the 3rd CanadaeUS (CANUS) Rock Mechanics Symposium (RockEng09). – 2009. – P. 412–423.

Mahabadi, O. K. A novel approach for micro-scale characterization and modeling of geomaterials incorporating actual material heterogeneity [Text] / O. K. Mahabadi, N. X. Randall, Z. Zong, G. Grasselli // Geophysical Research Letters. – 2012. – Vol. 39, Issue 1. doi: 10.1029/2011gl050411 

Lisjak, A. Continuum-discontinuum analysis of failure mechanisms around unsupported circular excavations in anisotropic clay shales [Text] / A. Lisjak, G. Grasselli, T. Vietor // International Journal of Rock Mechanics and Mining Sciences. – 2014. – Vol. 65, Issue 96–115. doi: 10.1016/j.ijrmms.2013.10.006 

Lisjak, A. Numerical Modelling of the Anisotropic Mechanical Behaviour of Opalinus Clay at the Laboratory-Scale Using FEM/DEM [Text] / A. Lisjak, B. S. A. Tatone, G. Grasselli, T. Vietor // Rock Mechanics and Rock Engineering. – 2012. – Vol. 47, Issue 1. – P. 187–206. doi: 10.1007/s00603-012-0354-7 

Gordeev, V. A. Primenenie metoda konechno-diskretnyh ehlementov dlya prognozirovaniya deformaciy gornyh vyrabotok [Text] / V. A. Gordeev, B. T. Il'yasov // Innovacionnye geotekhnologii v gornom dele. – Ekaterinburg, 2015. – P. 98–101.

Il'yasov, B. T. Modelirovanie dlitel'nogo razrusheniya massivov gornyh porod metodom konechno-diskretnyh ehlementov [Text] / B. T. Il'yasov // Marksheyderskiy vestnik. – 2016. – Issue 1. – P. 48–52.

Stavrogin, A. N. Ehksperimental'naya fizika i mekhanika gornyh porod [Text] / A. N. Stavrogin, B. G. Tarasov. – Sankt-Peterburg: Nauka, 2001. – 343 p.

Stavrogin, A. N. Prochnost' gornyh porod i ustoychivost' vyrabotok na bol'shih glubinah [Text] / A. N. Stavrogin, A. G. Protosenya. – Moscow: Nedra, 1985. – 271 p.

Stavrogin, A. N. Plastichnost' gornyh porod [Text] / A. N. Stavrogin, A. G. Protosenya. – Moscow: Nedra, 1979. – 301 p.

Karasev, M. A. Investigating Mechanical Properties of Argillaceous Grounds in Order to Improve Safety of Development of Megapolis Underground Space [Text] / M. A. Karasev // International Journal of Applied Engineering Research. – 2016. – Vol. 11. – P. 8849–8956.







Copyright (c) 2017 Anatoliy Protosenya, Maxim Karasev, Valery Ochkurov

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061