Technical Notes
Dec 7, 2017

Effective In-Plane Elastic Modulus of a Periodic Regular Hexagonal Honeycomb Core with Thick Walls

Publication: Journal of Engineering Mechanics
Volume 144, Issue 2

Abstract

The effective in-plane elastic moduli of different types of honeycomb cores with thick walls are studied using analytical and numerical approaches. Analytical equations derived in this paper take a proposed jointed rectangle into consideration. The analytical results under plane stress and plane strain conditions are also obtained. The effective in-plane elastic moduli are studied as a function of their own relative densities because of the different methods of describing the geometrical shapes of honeycomb cores. The results are quantitatively compared with the available experimental results in this paper. It indicates that the present model can better predict the elastic properties in x-direction but are less suitable in y-direction. The proposed jointed rectangle has significant effect at high relative density. Moreover, the effective in-plane modulus increases with the relative height of honeycomb cores because of the Poisson effect of the material, and the results under plane stress and plane strain conditions are the lower and upper bounds, respectively.

Get full access to this article

View all available purchase options and get full access to this article.

References

An, H., Chen, S., and Huang, H. (2016). “Optimal design of composite sandwich structures by considering multiple structure cases.” Compos. Struct., 152(Sep), 676–686.
ANSYS version 15.0 [Computer software]. ANSYS, Inc., Pittsburgh.
Balawi, S., and Abot, J. L. (2008a). “A refined model for the effective in-plane elastic moduli of hexagonal honeycombs.” Compos. Struct., 84(2), 147–158.
Balawi, S., and Abot, J. L. (2008b). “The effect of honeycomb relative density on its effective in-plane elastic moduli: An experimental study.” Compos. Struct., 84(4), 293–299.
Barbero, E. J. (2013). “Finite element analysis of composite materials using ANSYS, 2nd Ed., CRC Press, Boca Raton, FL.
Burton, W. S., and Noor, A. K. (1997). “Assessment of continuum models for sandwich panel honeycomb cores.” Comput. Methods Appl. Mech. Eng., 145(3–4), 341–360.
Catapano, A., and Montemurro, M. (2014a). “A multi-scale approach for the optimum design of sandwich plates with honeycomb core. I: Homogenisation of core properties.” Compos. Struct., 118(Dec), 664–676.
Catapano, A., and Montemurro, M. (2014b). “A multi-scale approach for the optimum design of sandwich plates with honeycomb core. II: The optimisation strategy.” Compos. Struct., 118(Dec), 677–690.
Chen, D. H., and Ozaki, S. (2009). “Analysis of in-plane elastic modulus for a hexagonal honeycomb core: Effect of core height and proposed analytical method.” Compos. Struct., 88(1), 17–25.
Gibson, L. J., and Ashby, M. F. (1997). Cellular solids: Structure and properties, Cambridge University Press, Cambridge, U.K.
Gibson, L. J., Ashby, M. F., Schajer, G. S., and Robertson, C. I. (1982). “The mechanics of two-dimensional cellular materials.” Proc. R. Soc. A, 382(1782), 25–42.
Heller, D., and Gruttmann, F. (2016). “Nonlinear two-scale shell modeling of sandwiches with a comb-like core.” Compos. Struct., 144(Jun), 147–155.
Huet, C. (1990). “Application of variational concepts to size effects in elastic heterogeneous bodies.” J. Mech. Phys. Solids, 38(6), 813–841.
Jin, T., Zhou, Z., Wang, Z., Wu, G., and Shu, X. (2015). “Experimental study on the effects of specimen in-plane size on the mechanical behavior of aluminum hexagonal honeycombs.” Mater. Sci. Eng. A, 635(May), 23–35.
Li, Y., Abbès, F., Hoang, M. P., Abbès, B., and Guo, Y. (2016). “Analytical homogenization for in-plane shear, torsion and transverse shear of honeycomb core with skin and thickness effects.” Compos. Struct., 140(Apr), 453–462.
Li, Y. M., Hoang, M. P., Abbes, B., Abbes, F., and Guo, Y. Q. (2015). “Analytical homogenization for stretch and bending of honeycomb sandwich plates with skin and height effects.” Compos. Struct., 120(Feb), 406–416.
Malek, S., and Gibson, L. (2015). “Effective elastic properties of periodic hexagonal honeycombs.” Mech. Mater., 91(Dec), 226–240.
Masters, I. G., and Evans, K. E. (1996). “Models for the elastic deformation of honeycombs.” Compos. Struct., 35(4), 403–422.
Montemurro, M., Catapano, A., and Doroszewski, D. (2016). “A multi-scale approach for the simultaneous shape and material optimisation of sandwich panels with cellular core.” Compos. Part B Eng., 91(Apr), 458–472.
Mukhopadhyay, T., and Adhikari, S. (2016). “Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach.” Int. J. Solids Struct., 91(Aug), 169–184.
Qiu, C., Guan, Z., Jiang, S., and Li, Z. (2017). “A method of determining effective elastic properties of honeycomb cores based on equal strain energy.” Chin. J. Aeronaut., 30(2), 766–779.
Seely, F. B., and Smith, J. O. (1963). Advanced mechanics of materials, Longmans, Harlow, U.K.
Timoshenko, S. P., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.
Vautrin, A. (1998). Mechanics of sandwich structures, Springer, Berlin.
Xia, Z., Zhang, Y., and Ellyin, F. (2003). “A unified periodical boundary conditions for representative volume elements of composites and applications.” Int. J. Solids Struct., 40(8), 1907–1921.
Zhang, Y., Lu, M., Wang, C. H., Sun, G., and Li, G. (2016). “Out-of-plane crashworthiness of bio-inspired self-similar regular hierarchical honeycombs.” Compos. Struct., 144(Jun), 1–13.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 144Issue 2February 2018

History

Received: Jan 11, 2017
Accepted: Aug 8, 2017
Published online: Dec 7, 2017
Published in print: Feb 1, 2018
Discussion open until: May 7, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, Northwestern Polytechnical Univ., 127 West Youyi Rd., Xi’an, Shaanxi 710072, China (corresponding author). E-mail: [email protected]
Yaohua Gong [email protected]
Ph.D. Student, Northwestern Polytechnical Univ., 127 West Youyi Rd., Xi’an, Shaanxi 710072, China. E-mail: [email protected]
M.S. Student, Northwestern Polytechnical Univ., 127 West Youyi Rd., Xi’an, Shaanxi 710072, China. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share