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Numerical modelling of thin anisotropic membrane under dynamic load

Part of: International Symposium on Smart Aircraft 2019 Collection Smart Aircraft

Published online by Cambridge University Press:  21 July 2020

V.V. Aksenov Open the ORCID record for V.V. Aksenov [Opens in a new window] ,
A.V. Vasyukov  and
I.B. Petrov
V.V. Aksenov*
Affiliation:
Moscow Institute of Physics and Technology, Institutsky lane, 9, 141700, Moscow region, Dolgoprudny, Russia
A.V. Vasyukov
Affiliation:
Moscow Institute of Physics and Technology, Institutsky lane, 9, 141700, Moscow region, Dolgoprudny, Russia
I.B. Petrov
Affiliation:
Moscow Institute of Physics and Technology, Institutsky lane, 9, 141700, Moscow region, Dolgoprudny, Russia
*
aksenov.vv@phystech.edu
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Abstract

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The anisotropic continuum medium model described in the article can be used to model a membrane made of composite material using its effective elastic parameters. The model and the method allow the consideration of problems when the quasi-static approximation is not valid and elastic waves caused by the impact should be calculated. The model and the method can be used for numerical study of different processes in thin composite layers, such as shock load, ultrasound propagation, non-destructive testing procedures and vibrations. The thin membrane is considered as a 2D object in 3D space, an approach that allows a reduction in the computational time compared with full 3D models, while still having an arbitrary material rheology and load profile.

Keywords

Composite membraneDynamic loadFinite element modelling
Type
Research Article
Information
The Aeronautical Journal , Volume 125 , Issue 1283 , January 2021 , pp. 109 - 126
Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

REFERENCES

Tan, P., Tong, L. and Steven, G.P. Modelling for predicting the mechanical properties of textile composites, Compos A Appl Sci Manuf, 1997, 28, (11), pp 903–922.CrossRefGoogle Scholar
Naik, N.K. and Shembekar, P.S. Elastic behavior of woven fabric composites, J Compos Mater, 1992, 26, (15), pp 2196–2225.CrossRefGoogle Scholar
Naik, N.K. and Ganesh, V.K. Prediction of on-axes elastic properties of plain weave fabric composites, Compos Sci Technol, 1992, 45, (2), pp 135–152.CrossRefGoogle Scholar
Ishikawa, T. and Chou, T.W. Stiffness and strength behaviour of woven fabric composites, J Mater Sci, 1982, 17, pp 3211–3220.CrossRefGoogle Scholar
Barbero, E.J., Damiani, T.M. and Trovillion, J. Micromechanics of fabric reinforced composites with periodic microstructure, Int J Solids Struct, 2005, 42, (9–10), pp 2489–2504.CrossRefGoogle Scholar
Dixit, A. and Mali, H.S. Modeling techniques for predicting the mechanical properties of woven-fabric textile composites, Mech Compos Mater, 2013, 49, pp 1–20.CrossRefGoogle Scholar
Lurie, S.A., Below, P.A. and Tuchkova, N.P. Adhesion model of hyperfine shells (SWNT), In Shell Structures: Theory and Applications Volume 4 Proceedings of the 11th International Conference “Shell Structures: Theory and Applications” (SSTA 2017), 11–13 October, 2017, Gdansk, Poland.CrossRefGoogle Scholar
Belov, P.A. and Lurie, S.A. Mechanical properties of SWNT within the framework of the theory of ideal adhesion, J Nanosci Nanoeng, 2017, 3, (2), pp 6–10.Google Scholar
Hewitt, J.A., Brown, D. and Clarke, R.B. Computer modelling of woven composite materials, Composites, 1995, 26, (2), pp 134–140.Google Scholar
Jenkins, C.H. Nonlinear dynamic response of membranes: State of the art - Update, Appl Mech Rev, 1996, 49, (10S), pp 41–48.CrossRefGoogle Scholar
Sathe, S., Benney, R., Charles, R., Doucette, E., Miletti, J., Senga, M., Stein, K. and Tezduyar, T.E. Fluid-structure interaction modeling of complex parachute designs with the space-time finite element techniques, Comput Fluids, 2007, 36, (1), pp 127–135.CrossRefGoogle Scholar
Miyazaki, Y. Wrinkle/slack model and finite element dynamics of membrane, Int J Numer Methods Eng, 2006, 66, (7), pp 1179–1209.Google Scholar
Whipple, F.L. Meteorites and space travel, Astron J, 1947, 52, p 131.CrossRefGoogle Scholar
Christiansen, E.L., Crews, J.L., Williamsen, J.E., Robinson, J.H. and Nolen, A.M. Enhanced meteoroid and orbital debris shielding, Int J Impact Eng, 1995, 17, 1–3, pp 217–228.CrossRefGoogle Scholar
Christiansen, E.L., Arnold, J., Davis, A., Hyde, J., Lear, D., Liou, J.-C., Lyons, F., Prior, T., Ratliff, M., Ryan, S., Giovane, F., Corsaro, B., Studor, G. Handbook for Designing MMOD Protection, NASA Johnson Space Center, Houston, 2009.Google Scholar
Kobylkin, I.F. and Selivanov, V.V. Materials and Structures of Light Armor Protection, BMSTU, Moscow, Russia, 2014 (in Russian).Google Scholar
Walker, J.D. Constitutive model for fabrics with explicit static solution and ballistic limit, Proceedings of the Eighteenth International Symposium on Ballistics, San Antonio, USA, 1999.Google Scholar
Walker, J.D. Ballistic limit of fabrics with resin, Proceedings of the Nineteenth International Symposium on Ballistics, Interlaken, Switzerland, 2001.Google Scholar
Porval, P.K. and Phoenix, S.L. Modeling system effects in ballistic impact into multi-layered fibrous materials for soft body armor, Int J Fract, 2005, 135, 1–4, pp 217–249.CrossRefGoogle Scholar
Rakhmatulin, K.A. and Demianov, Y.A. Strength under high transient loads, Israel Program for Scientific Translations, 1966.Google Scholar
Liu, C., Tian, Q., Yan, D. and Hu, H. Dynamic analysis of membrane systems undergoing overall motions, large deformations and wrinkles via thin shell elements of ANCF, Comput Methods Appl Mech Eng, 2013, 258, pp 81–95.Google Scholar
Beklemysheva, K.A., Vasyukov, A.V., Ermakov, A.S. and Petrov, I.B. Numerical simulation of the failure of composite materials by using the grid-characteristic method, Math Models Comput Simul, 2016, 8, (5), pp 557–567.CrossRefGoogle Scholar
Zienkiewicz, O.C. and Taylor, R.L. Finite Element Method: Volume 1 - The Basis, 5th ed. Butterworth-Heinemann, 2000, Oxford.Google Scholar
Sadd, M.H. Elasticity: Theory, Applications, and Numeric, Academic Press, 2014, Cambridge.Google Scholar
Newmark, N.M. A method of computation for structural dynamics, J Eng Mech Div, 1959, 85, (3), pp 67–94.Google Scholar
Geuzaine, C. and Remacle, J.-F. Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, Int J Numer Methods Eng, 2009, 79, (11), pp 1309–1331.CrossRefGoogle Scholar
Khokhlov, N.I. and Golubev, V.I. On the class of compact grid-characteristic schemes, In Smart Modeling for Engineering Systems, 2019, pp 64–77.CrossRefGoogle Scholar