PSI - Issue 28

Vedernikova Alena et al. / Procedia Structural Integrity 28 (2020) 1160–1166 Author name / Structural Integrity Procedia 00 (2019) 000–000

1166

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Fig. 8. Values of y p versus distance from the notch at different times of evolution ( y

0    , c l

TN L / 2

).

 

6. Conclusion The work is devoted to introduction of critical distance in the description of dynamic experiments based on simulation mesodefect evolution. Presented the explanation of physical nature of the parameters of critical distance theory previously introduced empirically. The structural-sensitive parameter introduced in framework of the statistical theory of defect evolution was used. Localization of the defect ensemble can be observed when two requirements are fulfilled: existence of the area where stresses are higher than inherent material strength and the spatial size of this area is equal to the half of fundamental length of dissipative structure equals to half of critical distance. The critical distance can be considered as a fundamental length scale of dissipative structure growing in a blow-up regime. Acknowledgements The results were obtained within the framework of state task; state registration number of the topic АААА-А19 119013090021-5. References Susmel, L., 2008. The theory of critical distances: a review of its applications in fatigue. Engineering Fracture Mechanics 75(7), 1706– 1724. Wang, R., Li, D., Hu, D., Meng, F., Liu, H., Ma, Q., 2017. A combined critical distance and highly-stressed-volume model to evaluate the statistical size effect of the stress concentrator on low cycle fatigue of TA19 plate. International Journal of Fatigue 95, 8–17. Ibanez-Gutierrez, F.T., Cicero, S., 2017. Fracture assessment of notched short glass fibre reinforced polyamide 6: An approach from failure assessment diagrams and the theory of critical distances. Composites Part B: Engineering 111, 124–133. Taylor, D., 2006. The theory of critical distances applied to the prediction of brittle fracture in metallic materials. Structural Integrity and Durability 1, 145–154. Susmel, L., Taylor, D., 2010. The Theory of Critical Distances to estimate the static strength of notched samples of Al6082 loaded in combined tension and torsion. Part II: Multiaxial static assessment. Engineering Fracture Mechanics 77(3), 470–478. Yin, T., Tyas, A., Plekhov, O., Terekhina, A., Susmel, L., 2015. A novel reformulation of the Theory of Critical Distances to design notched metals against dynamic loading. Materials & Design 69, 197–212. Taylor, D., 2007. The theory of critical distances: A new perspective in fracture mechanics. Oxford, Elsevier Science. Terekhina, A., Kostina, A., Plekhov, O., Susmel, L., 2017. Elasto-plastic TCD as a method of failure prediction. Procedia Structural Integrity 5, 569–576. Naimark, O.B., Uvarov, S.V., 2004. Nonlinear crack dynamics and scaling aspects of fracture (experimental and theoretical study). International Journal of Fracture 128, 285-292. Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P., 1995 Blow-up in Quasilinear Parabolic Equations. Walter de Gruyter, Berlin, New York Glinka, G., Newport, A., 1987. Universal features of elastic notch-tip stress fields. International Journal of Fatigue 9, 143-150. Naimark, O., 2019. Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances. Frattura ed Integrità Strutturale 49, 272-281.