Modelling of fatigue damage in granitic rock by piezoelectric effect in quartz phase due to alternating current excitation
Tóm tắt
This paper considers numerical modelling of hypothetical fatigue damage in granitic rock by alternating current (AC) excitation of piezoelectric properties of Quartz. For this end, a numerical method consisting of a rock mineral mesostructure model, an implicit time stepping scheme to solve the piezoelectro-mechanical problem, and a fatigue damage model was developed. The rock material was assumed to be heterogenous linear elastic and isotropic, save the Quartz piezoelectric properties, which are anisotropic. An evolution equation-based continuum scalar damage model based on an evolving back stress tensor and a moving Drucker–Prager type of endurance surface was applied to compute the damage inflicted by the AC excitation. The damage was computed in a post-processed mode, i.e., un-coupled to the material model, at this stage of investigations. Some preliminary axisymmetric simulations are presented with a rock mesotructure based on electron backscatter diffraction data. These simulations corroborate the hypothesis that fatigue damage can be induced on granitic rock by converse piezoelectric effect in the Quartz phase by sinusoidal alternating current. More specifically, fatigue damage was induced on a disc-shaped numerical rock sample at a voltage of 15 kV with 2.5 kHz of frequency.
Tài liệu tham khảo
Allik H, Hughes TJR (1970) Finite element method for piezoelectric vibration. Int J Numer Methods Eng 2:151–157
Bachmann F, Hielscher R, Schaeben H (2011) Grain detection from 2d and 3d EBSD data—specification of the MTEX algorithm. Ultramicroscopy 111:1720–1733
Bishop JR (1981) Piezoelectric effects in quartz-rich rocks. Tectonophysics 77:297–321
Cerfontaine B, Collin F (2018) Cyclic and fatigue behaviour of rock materials: review, interpretation and research perspectives. Rock Mech Rock Eng 51:391–414
Dahl P, Grøv E, Breivik T (2007) Development of a new direct test method for estimating cutter life, based on the Sievers’ J miniature drill test. Tunn Undergr Space Technol 22:106–116
Fukushima K, Kabir M, Kanda K, Obara N, Fukuyama M, Otsuki A (2022) Simulation of electrical and thermal properties of granite under the application of electrical pulses using equivalent circuit models. Materials 15:1039. https://doi.org/10.3390/ma15031039
Kovaleva L, Zinnatullin R, Musin A, Kireev V, Karamov T, Spasennykh M (2021) Investigation of source rock heating and structural changes in the electromagnetic fields using experimental and mathematical modeling. Minerals 11:991. https://doi.org/10.3390/min11090991
Liu Y, Dai F (2021) A review of experimental and theoretical research on the deformation and failure behavior of rocks subjected to cyclic loading. J Rock Mech Geotech Eng 13:1203–1230
Mainprice D, Bachmann F, Hielscher R, Schaeben H, Lloyd GE (2014) Calculating anisotropic piezoelectric properties from texture data using the MTEX open source package. Geol Soc Lond Special Publ 409:223–249
Ottosen NS, Stenstrom R, Ristinmaa M (2008) Continuum approach to high-cycle fatigue modeling. Int J Fatigue 30:996–1006
Parkhomenko EI (1971) Electrification phenomena in rocks. Springer, New York
Pressacco M, Kangas J, Saksala T (2023) Comparative numerical study on the weakening effects of microwave irradiation and surface flux heating pretreatments in comminution of granite. Geosciences 13:132. https://doi.org/10.3390/geosciences13050132
Saksala T (2021) Cracking of granitic rock by high frequency-high voltage-alternating current actuation of piezoelectric properties of quartz mineral: 3D numerical study. Int J Rock Mech Min Sci 147:104891
Sefiu OA, Hussin AMA, Haitham MAA (2020) Methods of ore pretreatment for comminution energy reduction. Minerals 10:423
Talischi C, Paulino GH, Pereira A, Menezes IFM (2012a) PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab. Struct Multidiscipl Optim 45:309–328
Talischi C, Paulino GH, Pereira A, Menezes IFM (2012b) PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. Struct Multidiscipl Optim 45:329–357
Tang CA (1997) Numerical simulation of progressive rock failure and associated seismicity. Int J Rock Mech Min Sci 34:249–261
Klein B, Wang C, Nadolski S (2018) Energy-efficient comminution: best practices and future research needs. In: Awuah-Offei K (ed) Energy efficiency in the minerals industry. Green energy and technology. Springer, Switzerland, pp 197–211
Mahabadi OK (2012) Investigating the influence of micro-scale heterogeneity and microstructure on the failure and mechanical behaviour of geomaterials. Doctoral Dissertation, University of Toronto, Canada
Novel concept for energy efficient hard rock drilling towards cost-effective geothermal energy harvesting (2021) The Research Council of Norway Project Bank. https://prosjektbanken.forskningsradet.no/en/project/FORISS/280755