Assessing geometrically nonlinear behavior of the anisotropic structure short surface defects in composite panels under compression
Authors: Mitrofanov O.V., Shkurin M.V., Dudchenko A.A.
Published in issue: #4(148)/2024
DOI: 10.18698/2308-6033-2024-4-2353
Category: Metallurgy and Science of Materials | Chapter: Powder Metallurgy and Composite Materials
The paper considers a problem of determining the stress-strain state at supercritical behavior of the short surface defects such as the anisotropic structure delamination in smooth composite panels under compression. It notes that when loaded with the compressive forces, defects of the δ thickness have a short rectangular shape (at b<a<1.5b). With stability loss and subsequent geometrically nonlinear behavior, they could have the oblique waves associated with the anisotropic structure. The presented analytical solutions to geometrically nonlinear problems were obtained by the Bubnov—Galerkin method. To study behavior of the short rectangular defects under consideration, two terms of the trigonometric deflection series were used. The paper analyses a variant of boundary conditions corresponding to the all-round hinged support. In each case, solution to the geometrically nonlinear problem is reduced to numerical solution of a system of two nonlinear equations in regard to the deflection amplitudes. To analyze the defects stressed state, analytical expressions for membrane and bending stresses are provided, as well as equalities to assess the transverse shear stresses arising in the geometrically nonlinear state.
EDN OIMVXI
References
[1] Degenhardt R., Castro S., Arbelo M., Zimmerman R., Khakimova R., Kling A. Future structural stability design for composite space and airframe structures. Thin-Walled Structures, 2014, vol. 81, pp. 29–38. https://10.1016/j.tws.2014.02.020
[2] Ni X., Prusty G., Hellier A. Buckling and post-buckling of isotropic and composite stiffened panels: A review on optimisation (2000–2015). Transactions of the Royal Institution of Naval Architects Part A: International Journal of Maritime Engineering, 2016, vol. 158, part A3, pp. A-251–A-268. https://doi.org/10.5750/ijme.v158iA3.994
[3] Falzon B.G, Aliabadi M.H. Buckling and postbuckling structures II: Experimental, analytical and numerical studies, 2018. https://doi.org/10.1142/q0127
[4] Masood S., Gaddikeri K., Viswamurthy S. Experimental and finite element numerical studies on the post-buckling behavior of composite stiffened panels. Mechanics of Advanced Materials and Structures, 2019. https://doi.org/10.1080/15376494.2019.1701151
[5] Gavva L.M., Firsanov V.V. Modelirovanie korobleniya i ostatochnykh tekhnologicheskikh napryazheniy pri raschete konstruktivno-anizotropnykh paneley LA iz kompozitsionnykh materialov [Simulation of postbuckling and residual technological stress when calculating structurally anisotropic aircraft panels from composite materials]. In: Materialy XIV Mezhdunarodnoy konferentsii po prikladnoy matematike i mekhanike v aerokosmicheskoy otrasli (AMMAI’2022), Alushta, 4–13 sentyabrya 2022 goda [Proceedings of the XII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI’2022), Alushta, September 4–13, 2022]. Moscow, MAI (NIU) Publ., 2022, pp. 70–72.
[6] Gavva L.M., Firsanov V.V. Analiticheskiy obzor metodov rascheta i eksperimentalnykh issledovaniy napryazhenno-deformirovannogo sostoyaniya konstruktivno-anizotropnykh paneley LA iz kompozitsionnykh materialov [Analytical review of calculation methods and experimental studies of the stress-strain state of structurally anisotropic aircraft panels made of composite materials]. In: Materialy XIII Mezhdunarodnoy konferentsii po prikladnoy matematike i mekhanike v aerokosmicheskoy otrasli (AMMAI’2020), Alushta, 6–13 sentyabrya 2020 goda [Proceedings of the XII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI’2020), Alushta, September 6–13, 2020]. Moscow, MAI (NIU) Publ., 2020, pp. 274–276.
[7] Dudchenko A.A., Lurye S.A. Modelirovanie protsessov rosta povrezhdennosti i degradatsii mekhanicheskikh svoystv sloistykh kompozitov [Modeling the processes of damage growth and degradation of mechanical properties of the layered composites]. Moscow, MAI (NIU) Publ., 2019, 160 p. ISBN 978-5-4316-0630-4
[8] Medvedskiy A.L., Martirosov M.I., Dedova D.V. Issledovanie dinamicheskogo deformirovaniya i progressiruyushchego razrusheniya kompozitnykh elementov konstruktsiy pri nalichii mezhsloevykh defektov [Study of dynamic deformation and progressive destruction of composite structural elements in the presence of interlayer defects]. In: Prochnost neodnorodnykh struktur – PROST 2023: Sbornik trudov XI Evraziyskoy nauchno-prakticheskoy konferentsii, Moskva, 18–20 aprelya 2023 goda [Strength of inhomogeneous structures – PROST 2023: Proceedings of the XI Eurasian Scientific and Practical Conference]. Moscow, Studio-Print Publ., 2023, 126 p.
[9] Medvedskiy A.L., Martirosov M.I., Khomchenko A.V. Mekhanika deformirovaniya i razrusheniya polimernykh kompozitov pri nalichii mnozhestvennykh rassloeniy proizvolnoy formy pod deystviem dinamicheskikh nagruzok [Fracture and deformation mechanics of polymer composites in the presence of multiple bundles of arbitrary shape under the action of dynamic loads]. Trudy MAI, 2022, no. 124. https://doi.org/10.34759/trd-2022-124-06
[10] Klesareva M.V., Bolshikh A.A., Nazarov E.V., Ustinov B.E. Razrabotka i aprobatsiya metodiki modelirovaniya kompozitnykh podkreplennykh paneley s uchetom defektov tipa BVID [Development and validation of modeling technique for composite stiffened panels considering BVID defects]. In: II Mezhdunarodnaya konferentsiya “Kompozitsionnye materialy i konstruktsii”: Tezisy, Moskva, 16 noyabrya 2021 goda [2nd International Conference “Composite Materials and Structures”: Theses. Moscow, November 16, 2021]. Moscow, “Pero” Publ., 2021, pp. 13–15.
[11] Golovan V.I., Grishin V.I., Dzyuba A.S., Zamula G.N., Limonin M.V., Dudarkov Yu.I., et al. Proektirovanie, raschety i staticheskie ispytaniya metallokompozitnykh konstruktsiy [Design, calculations and static tests of metal-composite structures]. Moscow, “Tekhnosfera”, 2022, 408 p. ISBN 978-5-94836-639-5
[12] Dudarkov Yu.I., Limonin M.V. Opredelenie napryazheniy poperechnogo sdviga v sloistom kompozite [Determination of the transverse shear stress in layered composites]. Zavodskaya laboratoriya. Diagnostika materialov — Industrial laboratory. Diagnostics of Materials, 2020, vol. 86, no. 2, pp. 44–53. https://doi.org/10.26896/1028-6861-2020-86-2-44-53
[13] Dzyuba A.S., Dudarkov Yu.I., Limonin M.V. Raschet ekvivalentnykh moduley poperechnogo sdviga sloistogo kompozitsionnogo paketa [Calculation of equivalent transversal shear modules of a layered composite package]. Uchenye zapiski TsAGI — TsAGI Science Journal, 2020, vol. 51, no. 1, pp. 80–90.
[14] Golovan V.I., Dudar’kov Yu.I., Levchenko E.A., Limonin M.V. Nesushchaya sposobnost paneley iz kompozitsionnykh materialov pri nalichii ekspluatatsionnykh povrezhdeniy [Load bearing capacity of composite panels with in-service damages]. Trudy MAI, 2020, no. 110, p. 5. DOI: 10.34759/trd-2020-110-5
[15] Mitrofanov O.V. Proektirovanie nesushchikh paneley aviatsionnykh konstruktsiy po zakriticheskomu sostoyaniyu [Design of load-bearing panels of aircraft structures based on supercritical state]. Moscow, MAI (NIU) Publ., 2020, 160 p. ISBN 978-5-4316-0757-8
[16] Mitrofanov O.V. Prikladnye geometricheski nelineynye zadachi pri proektirovanii i raschetakh kompozitnykh aviatsionnykh konstruktsiy [Applied geometrically nonlinear problems in the design and calculations of composite aircraft structures]. Moscow, MAI (NIU) Publ., 2022, 164 p. ISBN 978-5-4316-0984-8
[17] Mitrofanov O.V., Shkurin M.V. Otsenka geometricheski nelineynogo povedeniya kraevykh anizotropnykh defektov tipa rassloeniy v panelyakh iz kompozitnykh materialov pri szhatii [Assessment of geometrically nonlinear behavior of edge anisotropic defects such as delaminations in panels made of composite materials under compression]. In: VIII Mezhdunarodnaya konferentsiya problemy mekhaniki sovremennykh mashin: Sbornik statey konferentsii, oz. Baykal, 4–9 iyulya 2022 goda [VIII International Conference on Problems of Mechanics of Modern Machines: Collection of the conference articles]. Ulan-Ude, Vostochno-Sibirskiy Gosudarstvennyi Universitet Tekhnologii i Upravleniya Publ., 2022, pp. 498–505. DOI: 10.53980/9785907599055_498
[18] Volmir A.S. Gibkie plastiny i obolochki [Flexible plates and shells]. Moscow, GITTL Publ., 1956, 419 p.
[19] Lekhnitskiy S.G. Anizotropnye plastinki [Anisotropic plates]. Moscow, Gostekhizdat Publ., 1957, 463 p.