PSI - Issue 13

Ivan Shatskyi et al. / Procedia Structural Integrity 13 (2018) 1482–1487 Author name / Structural Integrity Procedia 00 (2018) 000–000

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4. Conclusions The model of filled slit examined in the article allows analytically estimating the results of renovation of defective plate structures under conditions of multiparameter loading. Key parameters that determine the efficiency of reinforcement for the plate with a crack for a set load trajectory are indicators of relative stiffness  and relative strength  of the filler. References Aleksandrov, V. M., Mkhitaryan, S. M., 1983. Contact problems for bodies with thin coatings and interlayers. Nauka, Moscow, 488 p. Dragan, M. S., Opanasovich, V. K., 1979. State of stress of a strip (beam) with a rectilinear thin-walled inclusion. Journal of Applied Mathematics and Meсhanics 43, 2, 367–373. Grilitskii, D. V., Sulim, G. T., 1975. Elastic stresses in a surface with thin-walled inclusion. Mathem.Methodyi Phis.-Mekh.Polia 1, 41–48. Grilitskii, D. V., Dragan, M. S., Opanasovich, V. K., 1979. Bending of a plate with a rectilinear thin-walled inclusion. Isv. AN SSSR. Mekhanica. Tverd. Tela 3,83–88. Khachikyan, A. S., 1970. Equilibrium of plane with finite length thin-walled elastic inclusion. Izv. AN ArmSSR. Mekhanika 23, 3, 14–21. Kurshin, L. M., Suzdal'nitskii, I. D., 1973. Stresses in a plane with a filled crack. Soviet Applied Mechanics 9, 10,1092–1097. Marukha, V. I., Panasyuk, V. V., Sylovanyuk, V. P., 2014. Injection technologies for the repair of damaged concrete structures. Springer, New York, 230 p. Mura, T., 1988. Inclusion Problems. Applied Mechanics Reviews 41, 1, 15–20. Osadchuk, V. A., 1985. Stress-strain state and limit equilibrium of shells with the cuts. Naukova Dumka, Kiev, 224 p. Panasyuk, V. V., Stadnik, M.M., Silovanyuk V. P., 1986. Stress concentration in three-dimensional bodies with thin inclusion. Naukova.Dumka, Kiev, 215 p. Panasyuk, V. V.,1968. Ultimate equilibrium in brittle bodies with cracks. Naukova Dumka, Kiev, 246 p. Popov, G. V., 1982. Concentration of elastic stresses near stamps, cuts, thin inclusions and reinforcements. Nauka, Moscow, 342 p. Savruk, M. P., 1981. Two-dimensional problems of elasticity for cracked bodies. Naukova Dumka, Kiev, 324 p. Shatskii, I. P., 1989. Contact of the edges of the slit in the plate in combined tension and bending. Materials Science 25, 2, 160–165. Shats’kyi, I. P., Makoviichuk, M. V., 2005. Сontact interaction of crack lips in shallow shells in bending with tension. Materials Science 41, 4, 486–494. Shats’kyi, I. P., Perepichka, V. V., 2004. Limiting state of a semi-infinite plate with edge crack in bending with tension. Materials Science 40, 2, 240–246. Shats’kyi, I. P., 2015. Limiting equilibrium of a plate with partially healed crack. Materials Science 51, 3,322–330. Sotkilava, O. V.,Cherepanov, G. P., 1974. Some problems of the nonhomogeneous elasticity theory. Journal of Applied Mathematics and Meсhanics 38, 3, 499–511. Sulym, H. T., 2007. Basis of mathematical theory of thermoelastic equilibrium of solids with thin inclusions. Dosl.-vydavn. tsentr NTSh, Lviv, 716 p. Zehnder, A. T., Viz, M. J., 2005. Fracture mechanics of thin plates and shells under combined membrane, bending and twisting loads. Applied Mechanics Reviews 58, 37–48.