PSI - Issue 5

N.A. Kosheleva et al. / Procedia Structural Integrity 5 (2017) 99–106 V.P. Matveenko et al. / Structural Integrity Procedia 00 (2017) 000 – 000

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5. Conclusions The problems of the adhesive joint geometry optimization that appear while mounting sensitive elements on the PCM surface and designing optical fiber outputs were considered in this paper. The results of adhesive joint influence on sensors indications were shown. Besides, the stress-strain state analysis that includes the singular solutions for the points, where infinite stress may occur, was carried out in the framework of this study. Mathematical simulation of the strain interaction between the sensor elements and the sensor element itself with investigated surface makes it possible to evaluate effectively the dependence of the calibration factor. The analysis of numerical experiments results was done with a mathematical model that described the three-dimensional spatial distribution of the strain of all FOS elements on a substrate. The sensitivity of the calibration coefficient to the type of adhesive joint of the fiber and the presence of technological holes in the metal substrate was established, as well as to the method of mounting the substrate to the investigated surface. Acknowledgements The research was performed at Perm National Research Polytechnic University with support of the Russian Science Foundation (project №15 -19-00243). [1] Committee on New Materials for Advanced Civil Aircraft, National Materials Advisory Board, Aeronautics and Space Engineering Board, Commission on Engineering and Technical Systems, National Research Council, 1996, New materials for next-generation commercial transports, National Academy Press, Washington, D.C, pp. 98. [2] Makhsidov, V.V., Fedotov, M.Yu., Shiyonok, A.M., Zuev, M.A., 2014, For an issue of embedded optical fiber in CFRP and strain measurement with fiber Bragg gratings sensors, Journal on Composite Mechanics and Design 20(4), 568 – 574. [3] Williams, M.L., 1952, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, Journal of Applied Mechanics 19(4), 526 – 528. [4] Matveenko, V.P., Nakaryakova, T.O., Sevodina, N.V., Shardakov, I.N., 2008, Stress singularity at the vertex of homogeneous and composite cones for different boundary conditions, J. Appl. Math. Mech. 72(3), 331 – 337. [5] Adams, R.D., Peppiatt, N.A., 1974, Stress analysis of adhesive-bonded lap joints, J. Strain Anal. Engng. 9(3), 185 – 196. https://doi.org/ 10.1243/03093247V093185. [6] Crocombe, A.D., Adams, R.D., 1981, Influence of the spew fillet and other parameters on the stress distribution in the sing le lap joint, The Journal of Adhesion 13, 141 – 155. http://dx.doi.org/10.1080/00218468108073182. [7] Adams, R.D., Atkins, R.W., Harris, J.A., Kinloch, A.J., 1986, Stress analysis and failure properties of carbon- fibre -reinforced-plastic/steel double-lap joints, The Journal of Adhesion 20, 29 – 53. http://dx.doi.org/10.1080/00218468608073238. [8] Adams, R.D., Harris, J.A., 1987, The influence of local geometry on the strength of adhesive joints, International Journal of Adhesion and Adhesives 2(1), 69 – 80. http://dx.doi.org/10.1016/0143-7496(87)90092-3. [9] Dorn, L., Liu, W., 1993, The stress state and failure properties of adhesive-bonded plastic/metal joints, International Journal of Adhesion and Adhesives 13(1), 21 – 31. http://dx.doi.org/10.1016/0143-7496(93)90005-T. [10] Tsai, M.Y., Morton, J., 1995, The e ff ect of a spew fillet on adhesive stress distributions in laminated composite single -lap joints, Composite Structures 32, 123 – 131. http://dx.doi.org/10.1016/0263-8223(95)00059-3. [11] Lang, T. P., Mallick, P. K., 1998, E ff ect of spew geometry on stresses in single lap adhesive joints, International Journal of Adhesion and Adhesives 18(1), 167 – 177. http://dx.doi.org/10.1016/S0143-7496(97)00056-0. [12] Zhao, X., Adams, R. D., da Silva, L.F.M., 2011, Single lap joints with rounded adherend corners: stress and strain analysis, Journal of Adhesion Science and Technology 25(8), 819 – 836. http://www.tandfonline.com/doi/abs/10.1163/016942410X520871. [13] Dempsey, J.P., Sinclair, G.B., 1981, On the singular behavior at the vertex of a bi-material wedge, Journal of Elasticity 11(3), 317 – 327. http://dx.doi.org/10.1007/BF00041942. [14] Matveyenko, V.P., Borzenkov, S.M., 1996, Semianalytical singular element and its application to stress calculation and optimization, Int. J. Numer. Meth. Eng. 39(10), 1659 – 1680. http://dx.doi.org/10.1002/(SICI)1097-0207(19960530)39:10<1659::AID-NME919>3.0.CO;2-W. [15] Matveenko, P.V., Fedorov, A.Yu., 2011, Optimization of the geometry of compound elastic bodies with aim to improve strength test procedures for adhesive joints, Vychisl. Mekh. Splosh. Sred. 4(4), 63 – 70. http://dx.doi.org/10.7242/1999-6691/2011.4.4.40. References