Technical Papers
Apr 17, 2017

Load-Carrying Capacity of Circular Sandwich Plates at Large Deflection

Publication: Journal of Engineering Mechanics
Volume 143, Issue 9

Abstract

The load-carrying capacity of circular sandwich panels under the quasi-static loading applied in the central area is investigated in this paper. The panels consist of two metallic face sheets and a metallic foam core, and they are simply supported or fully clamped at the edges. A velocity field is assumed to estimate the large deflection response, which is defined according to the initial deformation mode of the flat panel and boundary condition. In order to validate the analytical solution a finite-element simulation has been performed. Good agreement confirms that the quasi-static behavior of circular sandwich plates is well captured by the analytical model. A parametric study is then carried out to examine the effect of the boundary condition, face-to-core thickness ratio, and core strength on the structural response. It is shown that membrane effect caused by large deflection has a significant influence on the postyield response, especially in the case of a fully clamped boundary. Using the analytical model, a comparative study is carried out between the sandwich panels and monolithic plates, on their energy-dissipating performance.

Get full access to this article

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

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11172196), Shanxi Scholarship Council of China (2013-046), and the Top Young Academic Leaders of Shanxi and the Outstanding Innovative Teams of Higher learning Institutions of Shanxi. The financial contributions are gratefully acknowledged.

References

ABAQUS 6.14 [Computer software]. Dassault Systèmes, Waltham, MA.
Abrate, S. (2005). Impact on composite structures, Cambridge University Press, Cambridge, U.K.
Allen, H. G., and Neal, B. G. (2013). Analysis and design of structural sandwich panels, The Commonwealth and International Library: Structures and Solid Body Mechanics Division, Elsevier, Amsterdam, Netherlands.
Ashby, M. F., Evans, T., Fleck, N. A., Hutchinson, J., Wadley, H., and Gibson, L. (2000). Metal foams: A design guide, Elsevier, Amsterdam, Netherlands.
Belenkiy, L. (2007). “Upper-bound solutions for rigid-plastic beams and plates of large deflections by variation principles.” J. Eng. Mech., 98–105.
Calladine, C. (1968). “Simple ideas in the large-deflection plastic theory of plates and slabs.” Proc., Engineering Plasticity: Papers for a Conf. Held in Cambridge, Cambridge University Press, Cambridge, U.K.
Chen, C., and Fleck, N. (2002). “Size effects in the constrained deformation of metallic foams.” J. Mech. Phys. Solids, 50(5), 955–977.
Chen, C., Harte, A., and Fleck, N. (2001). “The plastic collapse of sandwich beams with a metallic foam core.” Int. J. Mech. Sci., 43(6), 1483–1506.
Crupi, V., and Montanini, R. (2007). “Aluminium foam sandwiches collapse modes under static and dynamic three-point bending.” Int. J. Impact Eng., 34(3), 509–521.
Deshpande, V., and Fleck, N. (2000). “Isotropic constitutive models for metallic foams.” J. Mech. Phys. Solids, 48(6), 1253–1283.
Fatt, M. S. H., and Park, K. S. (2001). “Dynamic models for low-velocity impact damage of composite sandwich panels. Part A: Deformation.” Compos. Struct., 52(3), 335–351.
Gibson, L. J., and Ashby, M. F. (1999). Cellular solids: Structure and properties, Cambridge University Press, Cambridge, U.K.
Goldsmith, W., and Sackman, J. L. (1992). “An experimental study of energy absorption in impact on sandwich plates.” Int. J. Impact Eng., 12(2), 241–262.
Hanssen, A., Hopperstad, O., Langseth, M., and Ilstad, H. (2002). “Validation of constitutive models applicable to aluminium foams.” Int. J. Mech. Sci., 44(2), 359–406.
Hopkins, H. G., and Prager, W. (1953). “The load carrying capacities of circular plates.” J. Mech. Phys. Solids, 2(1), 1–13.
Hou, W., Wang, Z., Zhao, L., Lu, G., and Shu, D. (2008). “Load-carrying capacities for circular metal foam core sandwich panels at large deflection.” Int. J. Mod. Phys. B, 22(31–32), 6218–6223.
Hou, W., Zhu, F., and Lu, G. (2008). “Ballistic impact experiments of metallic sandwich panels with aluminium foam core.” Int. J. Impact Eng., 37(10), 1045–1055.
Lu, G., and Yu, T. (2003). Energy absorption of structures and materials, Woodhead Publishing, Cambridge, U.K.
Meo, M., Vignjevic, R., and Marengo, G. (2005). “The response of honeycomb sandwich panels under low-velocity impact loading.” Int. J. Mech. Sci., 47(9), 1301–1325.
Mohr, D., Zhenyu, X., and Vaziri, A. (2006). “Quasi-static punch indentation of a honeycomb sandwich plate: Experiments and modelling.” J. Mech. Mater. Struct., 1(3), 581–604.
Mozafari, H., Khatami, S., and Molatefi, H. (2015). “Out of plane crushing and local stiffness determination of proposed foam filled sandwich panel for Korean Tilting Train eXpress—Numerical study.” Mater. Des., 66, 400–411.
Onat, E. (1960). “Plastic analysis of shallow conical shells.” J. Eng. Mech. Div., 126(1), 1111–1122.
Onat, E., and Haythornthwaite, R. (1954). “The load carrying capacity of circular plates at large deflection.”, Brown Univ., Providence, RI.
Onat, E. T., and Prager, W. (1954). Limit analysis of shells of revolution, Division of Applied Mathematics, Brown Univ., Providence, RI.
Qin, Q. H., and Wang, T. (2012). “Plastic analysis of metal foam core sandwich beam transversely loaded by a flat punch: Combined local denting and overall deformation.” J. Appl. Mech., 79(4), 041010.
Qin, Q. H., and Wang, T. J. (2008). “Analytical solution for the large deflection of fully clamped metallic foam sandwich beam.” Adv. Mater. Res., 33–37, 559–566.
Sawczuk, A. (1989). Mechanics and plasticity of structures, Halsted Press, Ultimo, Australia.
Shuaeib, F., and Soden, P. (1997). “Indentation failure of composite sandwich beams.” Compos. Sci. Technol., 57(9), 1249–1259.
Soden, P. (1996). “Indentation of composite sandwich beams.” J. Strain Anal. Eng. Des., 31(5), 353–360.
Steeves, C. A., and Fleck, N. A. (2004). “Collapse mechanisms of sandwich beams with composite faces and a foam core, loaded in three-point bending. Part I: Analytical models and minimum weight design.” Int. J. Mech. Sci., 46(4), 561–583.
Tagarielli, V., and Fleck, N. (2005). “A comparison of the structural response of clamped and simply supported sandwich beams with aluminium faces and a metal foam core.” J. Appl. Mech., 72(3), 408–417.
Tagarielli, V., Fleck, N., and Deshpande, V. (2004). “Collapse of clamped and simply supported composite sandwich beams in three-point bending.” Compos. Part B. Eng., 35(6), 523–534.
Wadley, H. N. (2006). “Multifunctional periodic cellular metals.” Philos. Trans. R. Soc. London, Ser. A, 364(1838), 31–68.
Wen, H., Reddy, T., Reid, S., and Soden, P. (1998). “Indentation, penetration and perforation of composite laminate and sandwich panels under quasi-static and projectile loading.” Key Eng. Mater., 141–143, 501–552.
Xue, Z., and Hutchinson, J. W. (2004). “A comparative study of impulse-resistant metal sandwich plates.” Int. J. Impact Eng., 30(10), 1283–1305.
Yu, J., Wang, E., Li, J., and Zheng, Z. (2008). “Static and low-velocity impact behavior of sandwich beams with closed-cell aluminum-foam core in three-point bending.” Int. J. Impact Eng., 35(8), 885–894.
Zenkert, D. (1995). An introduction to sandwich construction, Engineering Materials Advisory Services, West Midlands, U.K.
Zhu, F., Wang, Z., Lu, G., and Nurick, G. (2010). “Some theoretical considerations on the dynamic response of sandwich structures under impulsive loading.” Int. J. Impact Eng., 37(6), 625–637.
Zhu, F., Zhao, L., Lu, G., and Wang, Z. (2008). “Deformation and failure of blast-loaded metallic sandwich panels—Experimental investigations.” Int. J. Impact Eng., 35(8), 937–951.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 9September 2017

History

Received: May 8, 2015
Accepted: Dec 5, 2016
Published online: Apr 17, 2017
Published in print: Sep 1, 2017
Discussion open until: Sep 17, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Zhihua Wang [email protected]
Professor, Institute of Applied Mechanics and Biomedical Engineering, Taiyuan Univ. of Technology, Taiyuan 030024, P.R. China (corresponding author). E-mail: [email protected]
Professor, Faculty of Science, Engineering and Technology, Swinburne Univ. of Technology, Hawthorn, VIC 3122, Australia. E-mail: [email protected]
Professor, Dept. of Mechanical Engineering, Embry-Riddle Aeronautical Univ., Daytona Beach, FL 32114. E-mail: [email protected]
Longmao Zhao [email protected]
Professor, Institute of Applied Mechanics and Biomedical Engineering, Taiyuan Univ. of Technology, Taiyuan 030024, P.R. 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