TECHNICAL PAPERS
Nov 1, 2008

Nonlinear Transient Response of Laminated Composite Shells

Publication: Journal of Engineering Mechanics
Volume 134, Issue 11

Abstract

This paper first compares the writers’ results of static and dynamic analyses of plates, cylindrical and spherical shells employing four-, eight-, and nine-noded elements with different integration rules with those of earlier investigators and including some of the recent composite theories. Thereafter, the nonlinear transient responses of laminated composite cylindrical and spherical shell panels with cutouts are investigated taking up additional examples that are yet to appear in the published literature. For these, the finite-element model is employed using eight-noded C0 continuity, an isoparametric quadrilateral element considering von Karman large deflection assumptions. In the time integration, the Newmark average acceleration method is used in conjunction with a modified Newton–Raphson iteration scheme. Important conclusions with respect to nonlinear transient responses are summarized for cylindrical and spherical shells with and without cutouts.

Get full access to this article

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

References

Arciniega, R. A., and Reddy, J. N. (2007). “Tensor-based finite-element formulation for geometrically nonlinear analysis of shell structures.” Comput. Methods Appl. Mech. Eng., 196, 1048–1073.
Bagchi, D., Grace, N. F., and Kennedy, J. B. (1989). “Dynamic response of thick plates and shells.” Comput. Struct., 33(1), 63–72.
Balah, M., and Al-Ghamedy, H. N. (2002). “Finite-element formulation of a third-order laminated finite-rotation shell element.” Comput. Struct., 80, 1975–1990.
Basar, Y. (1993). “Finite-rotation theories for composite laminates.” Acta Mech., 98, 159–176.
Basar, Y., Ding, Y., and Schultz, R. (1993). “Refined shear deformation models for composite laminates with finite rotations.” Int. J. Solids Struct., 30(19), 2611–2638.
Bathe, K. J. (2001). Finite-element procedures in analysis, Prentice-Hall, New Delhi.
Bathe, K. J., Ramm, E., and Wilson, E. L. (1975). “Finite-element formulations for large deformation dynamic analysis.” Int. J. Numer. Methods Eng., 9(2), 353–386.
Brank, B., Peric, D., and Damjanic, F. B. (1995). “On implementation of a four-node shell finite element for thin multilayered elastic shells.” Comput. Mech., 16, 341–359.
Chakravorty, D., Sinha, P. K., and Bandyopadhyay, J. N. (1998). “Applications of FEM on free and forced vibration of laminated shells.” J. Eng. Mech., 124(1), 1–8.
Chao, W. C., and Reddy, J. N. (1984). “Analysis of laminated composite shells using a degenerated 3D element.” Int. J. Numer. Methods Eng., 20(11), 1991–2007.
Chen, J., Dawe, D. J., and Wang, S. (2000). “Nonlinear transient analysis of rectangular composite laminated plates.” Compos. Struct., 49, 129–139.
Chen, J. K., and Sun, C. T. (1985). “Dynamic large deflection response of composite laminates subjected to impact.” Compos. Struct., 4(1), 59–73.
Ganapathi, M., and Varadan, T. K. (1992). “Application of a field-consistent shear flexible element for nonlinear dynamic analysis of laminated shells.” Finite Elem. Anal. Design, 12, 105–116.
Han, S. C., Tabiei, A., and Park, W. T. (2008). “Geometrically nonlinear analysis of laminated composite thin shells using a modified first-order shear deformable element-based Lagrangian shell element.” Compos. Struct., 82(3), 465–474.
Huang, X. L., and Zheng, J. J. (2003). “Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations.” Eng. Struct., 25, 1107–1119.
Kant, T., and Kommineni, J. R. (1994). “Geometrically nonlinear transient analysis of laminated composite and sandwich shells with a refined theory and C0 finite elements.” Comput. Struct., 52(6), 1243–1259.
Kommineni, J. R., and Kant, T. (1995). “Pseudotransient large deflection analysis of composite and sandwich shells with a refined theory.” Comput. Methods Appl. Mech. Eng., 123(1), 1–13.
Naboulsi, S. K., and Palazotto, A. N. (2003). “Nonlinear static–dynamic finite-element formulation for composite shells.” Int. J. Non-Linear Mech., 38(1), 87–110.
Naidu, N. V. S., and Sinha, P. K. (2006). “Nonlinear transient analysis of laminated composite shells in hygrothermal environments.” Compos. Struct., 72, 280–288.
Nanda, N., and Bandyopadhyay, J. N. (2007). “Nonlinear free vibration analysis of laminated composite cylindrical shells with cutouts.” J. Reinf. Plast. Compos. 26(14), 1413–1427.
Nath, Y., and Alwar, R. S. (1978). “Nonlinear static and dynamic response of spherical shells.” Int. J. Non-Linear Mech., 13(3), 157–170.
Reddy, J. N. (1984). “Exact solutions of moderately thick laminated shells.” J. Eng. Mech., 110(5), 794–809.
Reddy, J. N. (2004a). “Mechanics of laminated composite plates and shells: Theory and analysis.” 2nd Ed., CRC, Boca Raton, Fla.
Reddy, J. N. (2004b). An introduction to nonlinear finite-element analysis, Oxford University Press, New York.
Reddy, J. N., and Chandrashekhara, K. (1985). “Geometrically nonlinear transient analysis of laminated doubly curved shells.” Int. J. Non-Linear Mech., 20(2), 79–90.
Saigal, S., and Yang, T. Y. (1985). “Nonlinear dynamic analysis with a 48 d.o.f curved thin shell element.” Int. J. Numer. Methods Eng., 21(6), 1115–1128.
Saleeb, A. F., Chang, T. Y., Graf, W., and Yingyeunyong, S. (1990). “A hybrid/mixed model for nonlinear shell analysis and its applications to large-rotation problems.” Int. J. Numer. Methods Eng., 29, 407–446.
To, C. W. S., and Wang, B. (1998). “Transient responses of geometrically nonlinear laminated composite shell structures.” Finite Elem. Anal. Design, 31(2), 117–134.
To, C. W. S., and Wang, B. (1999). “Hybrid strain based geometrically nonlinear laminated composite triangular shell finite elements.” Finite Elem. Anal. Design, 33, 83–124.
Vu-Quoc, L., and Tan, X. G. (2003). “Optimal solid shells for nonlinear analysis of multilayer composites. I. Statics.” Comput. Methods Appl. Mech. Eng., 192, 975–1016.
Wu, Y. C., Yang, T. Y., and Saigal, S. (1987). “Free and forced nonlinear dynamics of composite shell structures.” J. Compos. Mater., 21(10), 898–909.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 11November 2008
Pages: 983 - 990

History

Received: Jan 17, 2007
Accepted: Apr 25, 2008
Published online: Nov 1, 2008
Published in print: Nov 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Lambros S. Katafygiotis

Authors

Affiliations

Namita Nanda [email protected]
Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, India. E-mail: [email protected]
J. N. Bandyopadhyay [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, India (corresponding author). 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