Abstract
We study deformation and fracture of a brittle material under mixed quasi-static loading. Numerical simulations of deformation of a cubic sample containing a single crack are carried out using the particle dynamics method. Effect of ratio of compressive and shear loads on energy of fracture initiation is investigated for two crack shapes and various crack orientations. The energy of fracture initiation in a material containing multiple cracks is estimated using the non-interaction approximation. It is shown that in the case of mixed loading (compression and shear) the energy is significantly lower than in the case of pure compression. Presented results may serve for minimization of energy consumption during disintegration of solid minerals.
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Acknowledgements
This work was supported by the Russian Science Foundation (Grant No. 17-79-30056). The authors are deeply grateful L.A Vaisberg for formulation of the problem and useful discussions. The work was initiated in the course of joint investigation of technological processes of vibration disintegration of materials, the main developer of which is REC “Mekhanobr-Tekhnika”. Numerical modeling was performed using the Polytechnic supercomputer center at Peter the Great St. Petersburg Polytechnic University.
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Lapin, R.L., Muschak, N.D., Tsaplin, V.A., Kuzkin, V.V., Krivtsov, A.M. (2019). Estimation of Energy of Fracture Initiation in Brittle Materials with Cracks. In: Altenbach, H., Öchsner, A. (eds) State of the Art and Future Trends in Material Modeling . Advanced Structured Materials, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-030-30355-6_8
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