Asymmetric Low-Velocity Impact of a Finite Layer
Publication: Journal of Engineering Mechanics
Volume 127, Issue 5
Abstract
The dynamic indentation of structural elements such as beams and plates continues to be an intriguing problem, especially for scenarios where large area contacts can occur. Standard methods of indentation analysis typically use a dynamic beam theory solution to obtain an overall load-displacement relationship and then a Hertzian contact solution to determine local stresses under the impactor. However, previous static and dynamic modeling efforts have shown that the stress distribution in the contact region will differ significantly from a Hertzian one when the contact length exceeds the thickness of the beam. In such cases point contact can no longer be assumed and Hertzian relationships are no longer valid. The dynamic indentation model presented herein is a first effort to model the asymmetric (i.e., off-center) low-velocity impact problem for elastically supported beams. Numerical results obtained are compared with elementary beam theory solutions for model validation.
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References
1.
Ahmadi, N., Keer, L. M., and Mura, T. ( 1983). “Non-Hertzian stress analysis—Normal and sliding contact.” Int. J. Solids and Struct., 19, 357–373.
2.
Goldsmith, W. ( 1960). Impact: The theory and physical behavior of colliding solids, Edward Arnold, London.
3.
Graff, K. F. ( 1975). Wave motion in elastic solids, Ohio State University Press, Columbus, Ohio.
4.
Keer, L. M., and Lee, J. C. ( 1985). “Dynamic impact of an elastically supported beam—Large area contact.” Int. J. Engrg. Sci., 23, 987–997.
5.
Keer, L. M., and Miller, G. R. (1983). “Smooth indendation of a finite layer.”J. Engrg. Mech., ASCE, 109(3), 706–717.
6.
Keer, L. M., and Schonberg, W. P. ( 1986a). “Smooth indentation of an isotropic cantilever beam.” Int. J. Solids and Struct., 22, 87–106.
7.
Keer, L. M., and Schonberg, W. P. ( 1986b). “Smooth indentation of a transversely isotropic cantilever beam.” Int. J. Solids and Struct., 22, 1033–1053.
8.
Peck, J. A., and Schonberg, W. P. ( 1993). “Asymmetric indentation of a finite elastically supported beam.” J. Appl. Mech., 60, 1039–1045.
9.
Schonberg, W. P., Keer, L. M., and Woo, T. K. ( 1987). “Low-velocity impact of transversely isotropic beams and plates.” Int. J. Solids and Struct., 23, 871–896.
10.
Sun, C. T., and Huang, S. N. ( 1975). “Transverse impact problems by higher-order beam finite element.” Comp. and Struct., 5, 297–303.
11.
Timoshenko, S., and Goodier, J. N. ( 1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.
12.
Zhou, M., and Schonberg, W. P. (1994). “Comment on global/local method for low-velocity impact problems.”J. Engrg. Mech., ASCE, 120(5), 1042–1056.
13.
Zhou, M., and Schonberg, W. P. ( 1995). “Rotation in the global/local analysis of cantilever beam contact problems.” Acta Mechanica, 108, 49–62.
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Received: Jul 28, 2000
Published online: May 1, 2001
Published in print: May 2001
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