PSI - Issue 40

I.A. Bannikova et al. / Procedia Structural Integrity 40 (2022) 32–39 I. A. Bannikova at al. / Structural Integrity Procedia 00 (2022) 000 – 000

38

7

exponential function. The value of a characteristic parameter * k was found as

2 * k d r  , where d is tube thickness

and 2 r is inner tube radius.

10000

b

a

N = 3.6 m f

-0.53

R ² = 0.99

1000

(I)

100

N

(I)

N = 85.2 e -30.8 m f R ² = 0.99

10

N = -23.8 ln(m f )-50.4 R ² = 0.99

1

0,0000001 0,00001

0,001

0,1

m f , g

Fig. 3. (a) the free surface velocity of distilled water without a tube (1) and with a tube (2), I – electrical impulses, II – profiles of velocity; (b) fragment mass distribution (Al 2 O 3 tube), (I) and (II) is 2D and 3D fragments, log-log axes. 3. Conclusion The experimental studies of momentum transfer in condensed matter under intensive loading have revealed the existence of multiple defect-induced gapped momentum states. From the data obtained it has been concluded that there are relationship between the metastable states, the specific critical phenomena in condensed matter with defects (the structural-scaling transition), and the dispersion relations characterizing the gap in the k-space caused by the set of collective modes responsible for the self-similar mechanisms of momentum transfer and dissipation. The relaxation times are related to the temporal scales of the collective modes operating the kinetics of spinodal decomposition in accordance with the free energy metastability of condensed matter with defects. New mechanism of the momentum transfer in the corresponding k-space gap manifests itself as a subjection to the autosolitary wave spectrum with the front representing the correlated dynamics of microshears over the characteristic lengths   ~ 1 S L k and propagating with characteristic velocity V . An increase in the metastability gap leads to a power law dependence of the strain rate on the stress amplitude and viscosity asymptotic. The blow-up spectrum of collective modes localized on the set of spatial scales H L (starting from the blow-up time С t ) provides a new gap in the k space   ~1 H k L . This mechanism is responsible for the anomalous dissipation ability in condensed matter. Acknowledgements The research was conducted according to the Government Contract no. AAAA-A19-119013090021-5. References Baggioli, M., Vasin, M., Brazhkin, V., Trachenko, K., 2020. Gapped momentum states. Physics Reports 865, 1 – 44. https://doi.org/10.1016/j.physrep.2020.04.002. Bannikova, I., Uvarov, S., Bayandin, Yu., Naimark, O., 2014. An experimental study of non-Newtonian properties of water under electroexplosive loading. Technical Physics Letters 40, 766-768. DOI: 10.1134/S1063785014090041. Bannikova, I., Uvarov S., Naimark, O., 2015. Experimental research of the self-regularities of ceramics fracture under shock wave loading. PNRPU Mechanics Bulletin 3, 25-37. DOI: 10.15593/perm.mech/2015.3.03. Bannikova, I., Uvarov, S., Naimark, O., 2016. The effect of initial porosity of a sample under electric explosion loading. AIP Conference Proceedings 1785, 040003(1-4). DOI: 10.1063/1.4967060. Bannikova, I., Zubareva, A., Utkin, A., Uvarov, S., Naimark, O., 2017. Metastable states, relaxation mechanisms, and fracture of liquids under severe loading conditions. Physical Mesomechanics 20(4), 399 – 406. DOI: 10.1134/S102995991704004X.