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Instability of critical characteristics of crack propagation

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Abstract

The paper presents the numerically evaluated dependence of the stress intensity factor (SIF) on crack velocity (\(K_{I}-{\dot{a}}\) dependence) in Homalite-100 specimens subjected to pulse loading. Experiments on crack propagation (Ravi-Chandar and Knauss in Int J Fract 25:247–262, 1984. https://doi.org/10.1007/BF00963460; Int J Fract 26:65–80, 1984. https://doi.org/10.1007/BF01152313; Int J Fract 26:141–154, 1984. https://doi.org/10.1007/BF01157550; Int J Fract 26:189–200, 1984. https://doi.org/10.1007/bf01140627) were simulated using the finite element method and incubation time fracture criterion. According to (Ravi-Chandar and Knauss in Int J Fract 26:141–154, 1984. https://doi.org/10.1007/BF01157550), experimental data on the SIF–crack velocity dependence exhibit unstable behavior, i.e. considerable scattering of the SIF values: a broad range of SIF values corresponds to a single crack velocity. This way, the conventional approach based on a \(K_{I}-{\dot{a}}\) dependence being a material property is not applicable in this case. Such a phenomenon is also observed in a numerically obtained \(K_{I}-{\dot{a}}\) dependence, meaning that the developed approach makes it possible to evade the known ambiguity of the \(K_{I}-{\dot{a}}\) relation to predict the crack propagation.

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Acknowledgements

Y. Petrov acknowledges support from the Russian Science Foundation (17-11-01053) for research presented in Sects. 1, 4; N. Kazarinov was supported by RFBR (Grants 19-31-60037, 19-51-45016).

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Authors and Affiliations

  1. Saint Petersburg State University, Saint Petersburg, Russia, 199034

    Y. V. Petrov & A. V. Cherkasov

  2. Institute of Problems of Mechanical Engineering, Saint Petersburg, Russia, 199178

    Y. V. Petrov & N. A. Kazarinov

  3. Emperor Alexander I Saint Petersburg State Transport University, Saint Petersburg, Russia, 190031

    N. A. Kazarinov

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  1. Y. V. Petrov
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  2. A. V. Cherkasov
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  3. N. A. Kazarinov
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Petrov, Y.V., Cherkasov, A.V. & Kazarinov, N.A. Instability of critical characteristics of crack propagation. Acta Mech 232, 1997–2003 (2021). https://doi.org/10.1007/s00707-020-02852-y

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