﻿ Mathematical modeling of loss of stability of local delaminations caused by high-speed impact | Engineering Journal: Science and Innovation
Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
Article

### Mathematical modeling of loss of stability of local delaminations caused by high-speed impact

Published: 15.12.2022

Authors: Bokhoeva L.A., Baldanov A.B., Rogov V.E.

Published in issue: #12(132)/2022

Category: Mechanics | Chapter: Mechanics of Deformable Solid Body

Delamination of a composite may occur as a result of high-speed impact under the action of shock-wave unloading. Delamination could grow further under operation with the subsequent composite destruction. This paper presents analytical expressions for values characterizing the delamination critical loss of stability and describing their non-linear delaminating deformation resulting from the impact. Elastic characteristics of the thin-walled delamination of a multilayer package, elastic characteristics of separate layers included in it depending on the shear modulus, elastic moduli, Poisson ratio, thickness, and orientation angle of fibers of the unidirectional layer were determined. A technique for numerical simulation and calculation of the structural elements made of layered composite materials with allowable defects such as delamination was developed in the ANSYS Mechanical system to solve problems of the plates’ supercritical behavior.

References
[1] Аlfutov N.A. Osnovy rascheta na ustoichivost uprugikh system [Fundamentals of calculating the stability of elastic systems]. Moscow, Mashinostroenie Publ., 1991, 311 p.
[2] Bokhoeva L.A., Baldanov A.B. Chislennoe issledovanie poteri ustoychivosti polimernogo kompozitsionnogo materiala [Numerical study of the stability loss of a polymer composite material]. In: Problemy mekhaniki sovremennykh mashin. Sb. dokl. VIII Mezhdunar. nauch. konf. VSGUTU [Problems of the Mechanics of Modern Machines. Proceedings of the VIII International scientific conference of the ESSUTM]. Ulan-Ude, ESSUTM Publ., 2022, pp. 139–142.
[3] Pokrovsky A.M., Chermoshentseva A.S., Bokhoeva L.A. Otsenka treschinostoykosti szhatoy kompozitnoy plastiny s nachalnym rassloyeniem [Evaluation of crack resistance of a compressed composite plate with initial delamination]. Problemy mashinostroeniya i nadezhnosti mashin — Journal of Machinery Manufacture and Reliability, 2021, no. 5, pp. 81–91.
[4] Bokhoeva L.A., Rogov V.E., Chermoshentseva A.S. Ustoychivost kruglykh defektov tipa otsloeniy v elementakh konstruktsiy s uchetom poperechnogo sdviga [Stability of circular defects such as delamination in structural elements with regard transverse shear]. Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie — Modern Technologies. System analysis. Modeling, 2014, no. 4 (44), pp. 19–22.
[5] Bokhoeva L.A. Issledovanie ustoichivosti plastin s defektami v nelineinoi postanovke [Study of the stability of plates with defects in a nonlinear formulation]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroyenie — BMSTU Journal of Mechanical Engineering, 2008, no. 2, pp. 22–27.
[6] Alfutov N.A., Zinoviev P.A., Popov B.G. Raschet mnogosloinykh plastin i obo-lochek iz kompozitsionnykh materialov [Calculation of multilayer plates and shells made of composite materials]. Moscow, Mashinostroenie Publ., 1984, 264 p.
[7] Kuzmin M.A., Lebedev D.L., Popov B.G. Stroitelnaya mekhanika i raschety kompozitnykh konstruktsii na prochnost [Structural mechanics and strength calculations of composite structures]. Moscow, Akademkniga Publ., 2008, 191 p.
[8] Vasilyev V.V., Protasov V.D., Bolotin V.V., et al. Kompozitsionnye materialy. Spravochnik [Composite Materials. Manual]. Moscow, Mashinostroenie Publ., 1990, 512 p.
[9] Vasilyev V.V. Mekhanika konstruktsiy iz kompozitsionnykh materialov [Mechanics of structures made of composite materials]. Moscow, Mashinostroenie Publ., 1988, 272 p.
[10] Bolotin V.V., Novichkov Yu.N. Mekhanika mnogosloinykh konstruktsiy [Mechanics of multilayer constructions]. Moscow, Mashinostroenie Publ., 1980, 375 p.
[11] Pagano N.J. (Editor). Interlaminar response of composite materials. Amsterdam, Elsevier Science Publ., 1989 [In Russ.: Pagano N., Sony S., Wang A., et al. Mezhsloynye effekty v kompozitsionnykh materialakh. Moscow, Mir Publ., 1993, 346 p.].
[12] Kaplun A.B., Morozov E.M., Olferyeva M.A. ANSYS v rukakh inzhenera: prakticheskoe rukovodstvo [ANSYS in the hands of an engineer: practical guidance]. Moscow, URSS Publ., 2003, 269 p.