Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-03T08:47:52.943Z Has data issue: false hasContentIssue false

Modeling the Contact Stiffness Between a 2D Voronoi Honeycomb and a Flat Rigid Surface

Published online by Cambridge University Press:  01 February 2011

Richard D. Widdle Jr
Affiliation:
School of Mechanical Engineering, Purdue University West Lafayette, IN 47907–2031, U.S.A.
Thomas N. Farris
Affiliation:
School of Aeronautics and Astronautics, Purdue University West Lafayette, IN 47907–2023, U.S.A.
Anil K. Bajaj
Affiliation:
School of Mechanical Engineering, Purdue University West Lafayette, IN 47907–2031, U.S.A.
Patricia Davies
Affiliation:
School of Mechanical Engineering, Purdue University West Lafayette, IN 47907–2031, U.S.A.
Get access

Abstract

Open-cell foam can be thought of as a network of interconnected struts. To study the contact stiffness behavior, one can imagine the foam boundary to be characterized by struts that are free at one end, while the base-end is connected to the interior of the foam. In previous studies, the base-end was assumed to be built into a rigid surface, i.e., the surface struts were constrained to have zero displacement where they would connect to the foam interior. In this study the assumption that the surface elements are built-in is relaxed by modeling the elastic behavior of the foam interior. The foam interior is modeled as a network of struts within a finite element formulation. The analysis is simplified by considering two-dimensional honeycomb structures. It is found that including the foam interior in the model results in a significant reduction in the predicted contact stiffness.

Type
Research Article
Copyright
Copyright © Materials Research Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Gibson, L. J. and Ashby, M. F., Cellular solids: Structure and properties, Cambridge University Press, second edition, pp. 811, 1997.Google Scholar
2. Fortes, M. A., Colaço, R. and Fátima Vaz, M., “The contact mechanics of cellular solids,” Wear, vol. 230, pp. 110, 1999.Google Scholar
3. Silva, M. J., Hayes, W. C. and Gibson, L. J., “The effects of non-periodic microstructure on the elastic properties of two-dimensional cellular solids,” International Journal of Mechanical Sciences, vol. 37, no. 11, pp. 11611177, 1995.Google Scholar
4. van der Burg, M. W. D., Shulmeister, V., van der Geissen, E. and Marissen, R., “On the linear elastic properties of regular and random open-cell foam models,” Journal of Cellular Plastics, vol. 33, pp. 3154, January 1997.Google Scholar
5. Okabe, A., Boots, B., Sugihara, K. and Chiu, S. N., Spatial tessellations: Concepts and applications of Voronoi diagrams, John Wiley & Sons, pp. 44, 2000.Google Scholar
6. Onck, P. R., Andrews, E. W. and Gibson, L. J., “Size effects in ductile cellular solids. Part I: modeling,” International Journal of Mechanical Sciences, vol. 43, pp. 681699, 2001.Google Scholar