Analysis of Impact Response of Composite Laminates under Prestress
Publication: Journal of Aerospace Engineering
Volume 21, Issue 4
Abstract
An analytical solution for the impact response is obtained for the central impact of mass on a simply supported laminated composite plate under prestresses based on the Fourier series expansion and Laplace transform technique. A linearized version of the elastoplastic contact law proposed was used in the analytical formulation to consider permanent indentation during the impact. Permanent indentation including damage effects was included in the elastoplastic contact law. The effects of initial stresses on the contact force, plate center displacement, as well as strain time histories are presented. It is shown that higher initial stresses increase the maximum value of the contact force but reduce the plate central displacement. Effects of impactor velocity, mass, interlaminar shear strength of the laminates, and plate thickness on the contact force and dynamic response of the plate under tensile prestresses are also discussed.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The support of NASA Gleen Research Center and The Univ. of Akron for this study is greatly acknowledged.
References
Abrate, S. (1998). Impact on composite structures, Cambridge University Press, New York.
Birman, V., and Bert, C. W. (1987). “Response of composite plates to blast loading.” Proc., 5th ICCM and ECCM Conf., 192–201.
Cairns, D. S. (1991). “A simple, elastoplastic contact law for composites.” J. Reinf. Plast. Compos., 10(4), 423–433.
Carvalho, A., and Guedes Soares, C. (1996). “Dynamic response of rectangular plates of composite materials subjected to impact loads.” Compos. Struct., 34(1), 55–63.
Chattopadhyay, S. (1977). “Response of elastic plates to impact including the effects of shear deformation.” Recent advances in engineering science, G. C. Sih, ed., Leigh University Press, Bethlehem, Pa., 127–138.
Chattopadhyay, S., and Saxena, R. (1991). “Combined effects of shear deformation and permanent indentation on the impact response of elastic plates.” Int. J. Solids Struct., 27(13), 1739–1745.
Christoforou, A. P., and Swanson, S. R. (1990). “Analysis of simply-supported orthotropic cylindrical shells subjected to lateral impact loads.” ASME Trans. J. Appl. Mech., 57, 376–382.
Dobyns, A. L., and Porter, T. R. (1981). “A study of the structural integrity of graphite composite structure subjected to low velocity impact.” Polym. Eng. Sci., 21(8), 493–498.
Hughes, J. R. T. (1987). The finite-element method—Linear static and dynamic finite-element analysis, Prentice-Hall, Englewood Cliffs, N.J.
Khalili, S. M. R., Mittal, R. K., and Mohammad Panah, N. (2007). “Analysis of fiber reinforced composite plates subjected to transverse impact in the presence of initial stresses.” Compos. Struct., 77(2), 263–268.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexible motion of isotropic elastic plates.” ASME Trans. J. Appl. Mech., 18, 31–38.
Sankar, B. K., and Sun, C. T. (1985). “Low-velocity impact response of laminated beams subjected to initial stresses.” AIAA J., 23(12), 1962–1969.
Sun, C. T., and Chattopadhyay, S. (1975). “Dynamic response of anisotropic laminated plates under initial stress to impact of a mass.” J. Appl. Mech., 42(5), 693–698.
Sun, C. T., and Chen, J. K. (1985). “On the impact of initially stressed composite laminates.” J. Compos. Mater., 19(6), 490–504.
Tan, T. M., and Sun, C. T. (1985). “Use of statical indentation laws in the impact analysis of laminated composite plates.” J. Appl. Mech., 52(1), 6–12.
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.
Whitney, J. M., and Pagano, N. J. (1970). “Shear deformation in heterogeneous anisotropic plates.” J. Appl. Mech., 37(92), 1031–1036.
Whittinghan, B., Marshall, I. H., Mitrevski, T., and Jones, R. (2004). “The response of composite structures with prestress subjected to low velocity impact damage.” Compos. Struct., 66(1–4), 685–698.
Yang, S. H., and Sun, C. T. (1982). “Indentation law for composite laminates.” 6th Conf., Composite Materials: Testing and Design, M. Daniel, ed., ASTM STP 787, Philadelphia, 425–449.
Yigit, A. S., and Christoforou, A. P. (1994). “On the impact of a spherical indenter and an elastic-plastic transversely isotropic half-space.” Composites Eng., 4(11), 1143–1152.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Nov 27, 2006
Accepted: Nov 16, 2007
Published online: Oct 1, 2008
Published in print: Oct 2008
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.