539.3 Finite element modeling of damageability and durability of composite structures with local delaminations

Dimitrienko Y. I. (Bauman Moscow State Technical University), Yurin Y. V. (Bauman Moscow State Technical University)

COMPOSITES, DEFECTS, DELAMINATIONS, FINITE ELEMENT METHOD, CHEMICAL STRENGTH CRITERION, DAMAGEABILITY, CYCLIC LOADING, FATIGUE, HELICOPTER CARRIER BLADE


doi: 10.18698/2309-3684-2017-3-4970


The study centers around a technique developed for modeling damageability of laminated composite structures with defects of the delamination type under cyclic loading. The procedure consists of 3 stages iteratively repeated in time: finite element simulation of a macroscopic stress-strain state of the structure with defects; simulation of the microscopic stress-strain state near the defects; modeling the damage accumulation in the matrix, which connects the layers of reinforcing fibers near the defect. The model takes into account the curvilinear anisotropy of the composite material in the structure of complex geometric shapes. The study gives an example of a numerical calculation of a fragment of a composite structure of a helicopter carrier blade, taking into consideration the defect of the delamination type. The results suggest that there is a possibility of using the developed technique for damageability modeling in complex composite structures. The finite-element solution of the macroscopic problem is found by means of the SMCM software platform developed at the Scientific and Educational Center for Supercomputer Engineering Modeling and Software Development (SEC “SIMPLEX”) of Bauman Moscow State Technical University.


[1] Postnov V.I., Pletin I.I., Veshkin E.A., Starostina I.V., Strelnikov S.V. Izvestiya Samarskogo nauchnogo tsentra Rossiyskoy akademii nauk — Izvestia of Samara Scientific Center of the Russian Academy of Sciences, 2016, vol. 18, no. 4 (3), pp. 619–627.
[2] Jensen F.M., Falzon B.G., Ankersen J., Stang H. Composite Structures, 2006, vol. 76, pp. 52–61.
[3] Kong C., Bang J., Sugiyama Y. Energy, 2005, vol. 30, no. 11–12, pp. 2101–2114.
[4] Ngoc Anh Vu, Jae Woo Lee, Nam Tuan Phuong Le, Song Thanh Thao Nguyen. Chinese Journal of Aeronautics, 2016, vol. 29, no. 6, pp. 1602–1617. DOI: 10.1016/j.cja.2016.10.001
[5] Friedmann P.P., Glaz B., Palacios R. International Journal of Solids and Structures, 2009, vol. 46, no. 10, pp. 2186–2200. DOI 10.1016/j.ijsolstr.2008.09.017
[6] Degrieck J., Van Paepegem W. Applied Mechanics Review, 2001, vol. 54, no. 4, pp. 279–300.
[7] Heslehurst R.B. Defects and damage in composite materials and structures. CRC Press, 2014, 154 p.
[8] Joffre T., Miettinen A., Wernersson E., Isaksson P., Gamstedt E. Mechanics of Materials, 2014, vol. 75, pp. 125–134. DOI 10.1016/j.mechmat.2014.04.003
[9] Lemanski S.L., Wang J., Sutcliffe M.P.F., Potter K.D., Wisnom M.R. Composites Part A: Applied Science and Manufacturing, 2013, vol. 48, pp. 26–36. Available at: http://dx.doi.org/10.1016/j.compositesa.2012.12.007 (accessed November 22, 2017).
[10] Jiwei Dong, Ningfei Huo. Composite Structures, 2016, vol. 152, pp. 1–10.
[11] Ai S.G., Fang D.N., He R.J., Pei Y.M. Composites Part B: Engineering, 2015, vol. 71, pp. 113–121.
[12] Ribeiro F.M.F., Campilho R.D.S.G., Carbas R.J.C., da Silva L.F.M. Composites Part B: Engineering, 2016, vol. 100, pp. 91–100.
[13] Gowayed Y., Ojard G., Prevost E., Santhosh U., Jefferson G., Gowayed Y., Ojard G., Prevost E., Santhosh U., Jefferson G. Composites Part B: Engineering, 2013, vol. 55, pp. 167–175.
[14] Dimitrienko Yu.I., Yurin Iu.V., Fedonyuk N.N. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 11, pp. 3–23.
[15] Dimitrienko Yu.I., Gubareva E.A., Sborschikov S.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 2 (10), pp. 3–23.
[16] Dimitrienko Yu.I., Yurin Iu.V., Evropin S.V. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie — Proceedings of Higher Educational Institutions. Machine Building, 2013, no. 11, pp. 3–11.
[17] Dimitrienko Yu.I., Dimitrienko I.P. Mechanics of Composite Materials, 1989, vol. 25, no. 1, pp. 13–18. Available at: https://doi.org/10.1007/BF00608446 (accessed November 22, 2017).
[18] Brautman L. Kroc R., Sendetsky J., eds. Composite Materials. In 8 vols. Vol. 2. Mechanics of Composite Materials. New York, 1975. [In Russ.: Brautman L. Kroc R., Sendetsky J., ed. Kompozitsionnye materialy. V 8 tomakh. Tom 2. Mechanica kompozictionnyh materialov. Moscow, Mir Publ., 1978, 564 p.].
[19] Vasilev V.V., Tarnopolskiy Yu.M., ed. Kompozitsionnye materialy [Composite materials]. Moscow, Mashinostroenie Publ., 1990, 512 p.
[20] Dimitrienko Yu.I. Mekhanika sploshnoy sredy. V 4 tomakh. Tom 4. Osnovy mekhaniki tverdykh sred [Continuum mechanics. In 4 vols. Vol. 4. Fundametals of solid mechanics]. Moscow, BMSTU Publ., 2013, 624 p.
[21] Dimitrienko Yu.I. Mekhanika sploshnoy sredy. V 4 tomakh. Tom 1. Tenzorny analiz [Continuum mechanics. In 4 vols. Vol. 1. Tensor analysis]. Moscow, BMSTU Publ., 2013, 367 p.
[22] Bakhvalov N.S., Panasenko G.P. Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov [Averaging processes in periodic media. Mathematical problems in mechanics
of composite materials]. Moscow, Nauka Publ., 1984, 352 p.
[23] Pobedrya B.E. Mekhanika kompozitsionnykh materialov [Mechanics of composite materials]. Moscow, MSU Publ., 1984, 336 p.
[24] Dimitrienko Yu.I. Composites Science and Technology, 1999, vol. 59, no. 7, pp. 1041–1053.
[25] Dimitrienko Y. Applied Composite Materials, 1997, vol. 4, no. 4, pp. 219–237.
[26] Dimitrienko Y.I., Dimitrienko I.D. Combustion and Flame, 2000, vol. 122, no. 3, pp. 211–226.
[27] Dimitrienko Yu.I., Gubareva E.A., Sborschikov S.V., Fedonyuk N.N. Nauka i obrazovanie — Science and Education, 2014, no. 11, pp. 748–770. DOI 10.7463/1114.0734246
[28] Dimitrienko Yu.I., Kashkarov A.I., Makashov A.A. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki — Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 2007, no. 1, pp. 26–46.
[29] Dimitrienko Yu.I., Dimitrienko I.D., Sborschikov S.V. Applied Mathematical Sciences, 2015, vol. 9, no. 145, pp. 7211–7220.
URL: http://www.m-hikari.com/ams/ams-2015/ams-145-148-2015/p/dimitrienkoAMS145-148-2015.pdf (accessed 22.11.2017).
[30] Dimitrienko Yu.I., Fedonyuk N.N., Gubareva E.A., Sborschikov S.V., Prozorovskii A.A., Erasov V.S., Iakovlev N.O. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki — Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 2014, no. 5 (56), pp. 66–81.


Dimitrienko Yu.I. ,Yurin Yu.V. Finite element modeling of damageability and durability of composite structures with local delaminations .Маthematical Modeling and Computational Methods, 2017, №3 (15), pp. 49–70



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