Technical Papers
Sep 9, 2014

Three-Dimensional Extended Kantorovich Solution for Accurate Prediction of Interlaminar Stresses in Composite Laminated Panels with Interfacial Imperfections

Publication: Journal of Engineering Mechanics
Volume 141, Issue 4

Abstract

An accurate three-dimensional (3D) elasticity solution is presented for static analysis of flat laminated panels with interlaminar bonding imperfection under arbitrary boundary conditions exhibiting edge effects. The recently developed mixed-field multiterm extended Kantorovich method (MMEKM) for 3D solution of perfectly bonded laminates is generalized to include the interfacial compliance characterized by displacement jumps. A general variationally consistent framework using the Reissner-type mixed variational principle is proposed to treat the imperfect interfacial conditions. It is shown through numerical studies on composite and soft-core sandwich panels under different boundary conditions that, similar to the perfect bonding case, the MMEKM yields accurate results with just two or three terms and in two or three iterations for the weakly bonded laminates also. The roles that the boundary conditions, locations of the imperfect interfaces, and span-to-thickness ratios play on the effect of weak bonding on the response of laminated structures are investigated for a wide range of values for the imperfection compliance.

Get full access to this article

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

References

ABAQUS 6.11 [Computer software]. Providence, RI, Dassault Systèmes.
Aboudi, J. (1987). “Damage in composites—Modeling of imperfect bonding.” Compos. Sci. Technol., 28(2), 103–128.
Chakrabarti, A., Topdar, P., and Sheikh, A. H. (2006). “Vibration and buckling of laminated sandwich plates having interfacial imperfections.” Eur. J. Mech. A, Solids, 25(6), 981–995.
Chen, W. Q., Cai, J. B., and Ye, G. R. (2003). “Exact solutions of cross-ply laminates with bonding imperfections.” AIAA J., 41(11), 2244–2250.
Chen, W. Q., and Lee, K. Y. (2004). “Three-dimensional exact analysis of angle-ply laminates in cylindrical bending with interfacial damage via state-space method.” Compos. Struct., 64(3–4), 275–283.
Chen, W. Q., Wang, Y. F., Cai, J. B., and Ye, G. R. (2004). “Three-dimensional analysis of cross-ply laminated cylindrical panels with weak interfaces.” Int. J. Solids Struct., 41(9–10), 2429–2446.
Cheng, Z.-Q., Jemah, A. K., and Williams, F. W. (1996). “Theory for multilayered anisotropic plates with weakened interfaces.” J. Appl. Mech., 63(4), 1019–1026.
Cheng, Z.-Q., and Kitipornchai, S. (2000). “Prestressed composite laminates featuring interlaminar imperfection.” Int. J. Mech. Sci., 42(3), 425–443.
Cho, M., and Kim, J.-S. (2001). “Higher-order zig-zag theory for laminated composites with multiple delaminations.” J. Appl. Mech., 68(6), 869–877.
Goodman, J. R., and Popov, E. P. (1968). “Layered beam systems with interlayer slip.” J. Struct. Div., 94(11), 2535–2548.
Horgan, C. O. (1989). “Recent developments concerning Saint-Venant’s principal: An update.” Appl. Mech. Rev., 42(11), 295–303.
Kam, C. Z., and Kueh, A. B. H. (2013). “Bending response of cross-ply laminated composite plates with diagonally perturbed localized interfacial degeneration.” Sci. World J., 2013, 350890.
Kapuria, S., and Kumari, P. (2012). “Multiterm extended Kantorovich method for three-dimensional elasticity solution of laminated plates.” J. Appl. Mech., 79(6), 061018.
Kapuria, S., and Nair, P. G. (2010). “Exact three-dimensional piezothermoelasticity solution for dynamics of rectangular cross-ply hybrid plates featuring interlaminar bonding imperfections.” Compos. Sci. Technol., 70(5), 752–762.
Kerr, A. D. (1968). “An extension of the Kantorovich method.” Q. Appl. Math., 26(2), 219–229.
Khandelwal, R. P., Chakrabarti, A., and Bhargava, P. (2012). “Analysis of laminated soft core sandwich plate having interfacial imperfections by an efficient C0 FE model.” J. Solid Mech., 4(4), 355–371.
Kim, G. W., and Lee, K. Y. (2007). “Influence of weak interfaces on buckling of orthotropic rectangular laminates.” Compos. Struct., 81(3), 427–431.
Kim, J.-S., Oh, J., and Cho, M. (2011). “Efficient analysis of laminated composite and sandwich plates with interfacial imperfections.” Composites Part B, 42(5), 1066–1075.
Li, D., and Liu, Y. (2012). “Three-dimensional semi-analytical model for the static response and sensitivity analysis of the composite stiffened laminated plate with interfacial imperfections.” Compos. Struct., 94(6), 1943–1958.
Li, D., Xu, J., and Qing, G. (2010). “Sensitivity analysis of composite laminated plates with bonding imperfection in Hamilton system.” Appl. Math. Mech., 31(12), 1549–1560.
Li, D., Xu, J., and Qing, G. (2011). “Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection.” Composites Part B, 42(6), 1588–1595.
Librescu, L., and Schmidt, R. (2001). “A general theory of laminated composite shells featuring interlaminar bonding imperfections.” Int. J. Solids Struct., 38(19), 3355–3375.
Liu, D., Xu, L., and Lu, X. (1994). “Stress analysis of imperfect composite laminates with an interlaminar bonding theory.” Int. J. Numer. Methods Eng., 37(16), 2819–2839.
Lu, X., and Liu, D. (1992). “Interlayer shear slip theory for cross-ply laminates with nonrigid interfaces.” AIAA J., 30(4), 1063–1073.
Murakami, H. (1984). “A laminated beam theory with interlayer slip.” J. Appl. Mech., 51(3), 551–559.
Sabah, S. H. A., and Kueh, A. B. H. (2014). “Finite element modeling of laminated composite plates with locally delaminated interface subjected to impact loading.” Sci. World J., 2014, 954070.
Shames, I. H., and Dym, C. L. (1985). Energy and finite element methods in structural mechanics, Hemisphere, New York.
Shu, X. (2006). “A generalised model of laminated composite plates with interfacial damage.” Compos. Struct., 74(2), 237–246.
Shu, X., and Soldatos, K. P. (2001). “An accurate stress analysis model for angle-ply laminates with weakly bonded layers.” Acta Mech., 150(3–4), 161–178.
Williams, T. O., and Addessio, F. L. (1997). “A general theory for laminated plates with delaminations.” Int. J. Solids Struct., 34(16), 2003–2024.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 4April 2015

History

Received: Jul 1, 2014
Accepted: Aug 7, 2014
Published online: Sep 9, 2014
Published in print: Apr 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Dept. of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India (corresponding author). E-mail: [email protected]
Research Scholar, Dept. of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India. 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