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Parametric study of the influence of the structure dimensions and the material properties on the global behavior of plates made of composite materials

Published online by Cambridge University Press:  06 August 2013

Mohamad Abdul Wahab ,
Nazih Moubayed ,
Tony Jabbour  and
Peter Davies
Mohamad Abdul Wahab
Affiliation:
Faculty of Engineering 1, Lebanese University, Tripoli, Lebanon
Nazih Moubayed*
Affiliation:
Faculty of Engineering 1, Lebanese University, Tripoli, Lebanon
Tony Jabbour
Affiliation:
ISAE, Lebanese University, Beirut, Lebanon
Peter Davies
Affiliation:
Laboratory of Materials of Marins, Center of Brest, BP 70, 29280 Plouzané, France
*
a Corresponding author: [email protected]
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Abstract

This paper considers the effect of the damage caused by transverse stresses due to a low velocity impact loading on composite plates. The dynamic response of a plate is calculated using the modal superposition technique based on the classical plate theory of sandwich plates (stratified) taking into account transverse shear effects. An indentation law, based on the Hertz theory and verified experimentally, governs the behavior of the plate subsequent to impact. The numerical time integration scheme is used to calculate the contact force at any instant by combining the indentation and the dynamic response of the structure. The obtained results show a good correlation between the shock results and their prediction. This method is equally applied to the contact force as well as to the deformation of the plate. The simulation permits a parametric study of the structure dimensions and the material properties on the global behavior of the plate.

Keywords

Composite materialimpactdynamic responsesandwich platedeformation
Type
Research Article
Information
Mechanics & Industry , Volume 14 , Issue 4 , 2013 , pp. 239 - 245
Copyright
© AFM, EDP Sciences 2013

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References

Mindlin, R.D., Influence of rotatory inertia shear on flexural motions of isotropic elastic plates, J. Appl. Mech. 18 (1951) 31–38 Google Scholar
J.M. Whitney, N.J. Pagano, Shear Deformation in Heterogeneous Anisotropic Plates, J. Appl. Mech. (1970) 1031–1036
S.P. Timoshenko, J.N. Goodier, Theory of elasticity, McGraw-Hill, New York, 1934
W. Goldsmith, Impact: the Theory and Physical Behavior of Colliding Solids, Edward Arnold Ltd, London Publishers, 1960
Sun, C.T., Chattopadhyay, S., Dynamic Response of Anisotropic Laminated Plates Under Initial Stress to Impact of Mass, J. Appl. Mech. 42 (1975) 693–698 CrossRefGoogle Scholar
Dobyns, A.L., Analysis of simply-supported orthotropic plates subject to static and dynamic loads, AIAA J. 19 (1981) 642–650 CrossRefGoogle Scholar
Chen, J.K., Sun, C.T., Analysis of impact response of buckled composite laminates, Compos. Struct. 3 (1985) 97–118 CrossRefGoogle Scholar
C. Doan, P. Hamelin, Comportement au choc des matériaux et structures composites, Caractérisation mécanique des composites, Pluralis, Vautrin Ed, 1989, pp. 157–176
J.M. Whitney, Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Co., 1987
R.M. Hussein, Composite panels/plates analysis and design, Technomic Publishing Co., 1986
Christoforou, A.P., Swanson, S.R., Analysis of impact response in composite plates, Int. J. Solids Struct. 27 (1991) 161–170 CrossRefGoogle Scholar
J.M. Berthelot, Matériaux Composites: Comportement mécanique et analyse des structures, Edition Masson, 1992
Whitney, J.M., Leissa, A.W., Analysis of a simply supported laminated anisotropic rectangular plates, AIAA J. 8 (1970) 28–33 Google Scholar
G. Cederbaum, I. Elishakoff, J. Aboudi, L. Liberscu, Random Vibration and Reliability of Composite Structures, Technomic Publishing Co., 1992
Yigit, A.S., Christoforou, A.P., On the Impact of a Spherical Indenter and an Elastic-plastic Transversely Isotropic Half-Space, Compos. Eng. 4 (1994) 1143–1573 CrossRefGoogle Scholar
M. Geradin, D. Rixen, Théorie des vibrations, Masson, Paris, 1993
S. Thangjitham, L. Librescu, G. Cederbaum, Low-Velocity Impact Response of Orthotropic Plates Using a Higher-Order Theory, Proceedings of the 28th AIAA/ASME/ASCE/AHS: Structures, Structural Dynamics and Materials Conference, Monterey, California, 1987, pp. 448–457
Thomsen, O.T., Theoretical and experimental investigation of local bending effects in sandwich plates, Compos. Struct. 30 (1995) 85–101 CrossRefGoogle Scholar
B.V. Sankar, Low-Velocity Impact Response and Damage in: E. Armanios (Ed.), Composite Materials, Fracture of Composites, 1996
Tan, T.M., Sun, C.T., Use of statical indentation Laws in the impact analysis of laminated composite plates, J. Appl. Mech. 52 (1985) 6–12 CrossRefGoogle Scholar
R.A. Mines, C.M. Worral, A.G. Gibson, The response of GRP sandwich panels to dropped object loading, FRC’90, 4th International Conference on Fiber Reinforced Composites, Liverpool, United Kingdom, 1990, pp. 149–155
P. Davies, D. Choqueuse, L. Riou, A. Wahab, Réponse de panneaux composites sandwichs au choc, Composite Materials in the Petroleum Industry, Paris, France, 1994, IFP Revue, 1995, pp. 1–8
P. Davies, D. Choqueuse, B. Bigourdan, Static and sandwich impact testing and modelling of sandwich structures for marine applications, 3rd International Conference on Sandwich Construction, Southampton, United Kingdom, 1995, pp. 647–658
Wahab, A., Moubayed, N., Davies, P., Prevosto, M., De Roeck, Y. H., Simulation de la réponse dynamique d’une poutre sandwich en matériaux composites à l’impact d’une sphère rigide, Matériaux et Techniques, EDP Sciences 98 (2010) 339–346 Google Scholar