Semianalytical Solution of Wave-Controlled Impact on Composite Laminates
Publication: Journal of Aerospace Engineering
Volume 22, Issue 3
Abstract
Based on a structural model for wave-controlled impact, a modified Hertzian contact law was used to investigate the impact responses of composite laminates. The original nonlinear governing equation was transformed into two linear equations using asymptotic expansion. Closed-form solution can be derived for the first linear homogeneous equation, which is the equation of motion for single degree of freedom system with viscous damping. The second linear nonhomogeneous equation was solved numerically. The overall impact responses for wave-controlled impacts can be obtained semianalytically and agree well with the numerical solutions of nonlinear governing equations. The proposed methodology is useful for providing guidance to numerical simulation of impact on complex composite structures with contact laws fitting from experimental data.
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Acknowledgments
The support of NASA Glenn Research Center and The University of Akron for this study is greatly acknowledged. Valuable discussions regarding the method of asymptotic expansion from Professor Gerald Young in Department of Applied Mathematics at The University of Akron are really appreciated.
References
Abrate, S. (1991). “Impact on laminated composite materials.” Appl. Mech. Rev., 44(4), 155–190.
Abrate, S. (1998). Impact on composite structures, Cambridge University Press, Cambridge, U.K.
Andersson, M., and Nilsson, F. (1995). “A perturbation method used for static contact and low-velocity impact.” Int. J. Impact Eng., 16(5–6), 759–775.
Hill, R., Storakers, B., and Zdunek, A. B. (1989). “A theoretical study of the brinell hardness test.” Proc. R. Soc. London, 423(1865), 301–330.
Liou, W. J. (1997). “Contact law of carbon/epoxy laminated composite plates.” J. Reinf. Plast. Compos., 16(2), 155–166.
Mittal, R. K. (1987). “Effect of transverse shear on the behavior of a beam under dynamic loading.” Z. Angew. Math. Mech., 67, 175–181.
Olsson, R. (1992). “Impact response of orthotropic composite plates predicted from a one-parameter differential equation.” AIAA J., 30(6), 1587–1596.
Olsson, R. (2000). “Mass criterion for wave controlled impact response of composite plates.” Composites, Part A, 31(8), 879–887.
Olsson, R. (2003). “Closed form prediction of peak load and delamination onset under small mass impact.” Compos. Struct., 59(3), 341–349.
Suemasu, H., Kerth, S., and Maier, M. (1994). “Indentation of spherical head indentors on transversely isotropic composite plates.” J. Compos. Mater., 28(17), 1723–1739.
Swanson, S. R. (2005). “Contact deformation and stress in orthotropic plates,” Composites, Part A, 36(10), 1421–1429.
Tsai, S. W., and Hahn, H. T. (1980). Introduction to composite materials, Technomic Publishing Company, Inc., Lancaster, Pa.
Turner, J. R. (1979). “Contact on a transversely isotropic half-space, or between two transversely isotropic bodies.” Int. J. Solids Struct., 16, 409–419.
Zheng, D., and Binienda, W. K. (2007). “Effect of permanent indentation on the delamination threshold for small mass impact on plates.” Int. J. Solids Struct., 44(25–26), 8143–8158.
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Information
Published In
Journal of Aerospace Engineering
Volume 22 • Issue 3 • July 2009
Pages: 318 - 323
Copyright
© 2009 ASCE.
History
Received: Jul 7, 2008
Accepted: Jan 22, 2009
Published online: Jun 15, 2009
Published in print: Jul 2009
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