PSI - Issue 7

Robert Goldstein et al. / Procedia Structural Integrity 7 (2017) 222–228 R.Goldstein, M. Perelmuter / Structural Integrity Procedia 00 (2017) 000–000

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Fig. 7. The initial defect formation time ( t 0 = 1 s ) vs the initial size of the crack bridged zone, relative bonds compliance c 0 variation.

Fig. 8. Traction vector at the edge of the bridged zone vs its relative size, relative bonds compliance c 0 variation.

pendence of the durability in formula (4)), the comparative analysis of joints of di ff erent materials under appropriate loading conditions is of greatest practical interest in this method.

Acknowledgements

This work was partly supported by Russian Foundation for the Basic Research, the grants numbers are 17-08-01312 and 17-01-00526, and also by the Research Programs of Russian Academia of Sciences (projects I.1 and III.4).

References

Barenblatt, G.I., Entov, V.M., Salganik, R.L., 1966. On the kinetics of crack propagation. general concepts. cracks close to equilibrium. Mech. Solids (Engl. Transl. of Inzh. Zh. Mekh. Tverd. Tela) 1, 53 – 59. Barenblatt, G.I., Entov, V.M., Salganik, R.L., 1967. On the kinetics of cracks propagation. fluctuational fracture. Mech. Solids (Engl. Transl. of Inzh. Zh. Mekh. Tverd. Tela) 2, 122 – 128. Bazant, Z.P., Pang, S.D., 2007. Activation energy based extreme value statistics and size e ff ect in brittle and quasibrittle fracture. Journal of the Mechanics and Physics of Solids 55, 91 – 131. Cox, B., Marshall, D., 1994. Concepts for bridged cracks in fracture and fatigue. Acta Metallurgica et Materialia 42, 341 – 363. Goldstein, R., Bakirov, V., Perelmuter, M., 1997. Modeling of the adhesion strength and fracture kinetics of the microelectronic package polymer polymer joints. Proceedings of the Institute of Physics and Technology of the Russian Academy of Sciences 13, 115–125. Goldstein, R., Perelmuter, M., 1999. Modeling of bonding at an interface crack. International Journal of Fracture 99, 53–79. Goldstein, R.V., Perelmuter, M.N., 2009. Modeling of fracture toughness of composite materials. Computational Continuum Mechanics (in Russian) 2(2), 22–39. Goldstein, R.V., Perelmuter, M.N., 2012. Kinetics of crack formation and growth on the material interface. Mechanics of Solids 47, 400–414. Khanna, V.K., 2011. Adhesiondelamination phenomena at the surfaces and interfaces in microelectronics and mems structures and packaged devices. Journal of Physics D: Applied Physics 44, 034004. Romero de la Osa, M., Estevez, R., Olagnon, C., Chevalier, J., Vignoud, L., Tallaron, C., 2009. Cohesive zone model and slow crack growth in ceramic polycrystals. International Journal of Fracture 158, 157–167. Perelmuter, M., 2013. Boundary element analysis of structures with bridged interfacial cracks. Computational Mechanics 51, 523–534. Regel, V.G., Slutsker, A.I., Tomashevskii, E.E., 1974. Kinetic Nature of Strength of Solids. Moscow: Nauka (in Russian). Washiyama, J., Kramer, E.J., Creton, C.F., Hui, C.Y., 1994. Chain pullout fracture of polymer interfaces. Macromolecules 27, 2019–2024. Zhurkov, S., 1965. Kinetic concept of the strength of solids. International Journal of Fracture Mechanics 1, 311–323.

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