Finite-Element Formulation for Analysis of Laminated Composites
Publication: Journal of Engineering Mechanics
Volume 125, Issue 10
Abstract
This paper presents a multilayered/multidirector and shear-deformable finite-element formulation of shells for the analysis of composite laminates. The displacement field is assumed continuous across the finite-element layers through the composite thickness. The rotation field is, however, layerwise continuous and is assumed discontinuous across these layers. This kinematic hypothesis results in independent shear deformation of the director associated with each individual layer and thus allows the warping of the composite cross section. The resulting through-thickness strain field is therefore discontinuous across the different material sets. Numerical results are presented to show the performance of the method.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Argyris, J., and Tenek, L. (1994). “Linear and geometrically nonlinear bending of isotropic and multilayered composite plates by the natural modes approach.” Comput. Methods in Appl. Mech. Engrg., 113, 207–251.
2.
Belytschko, T., and Leviathian, I. (1994). “Physical stabilization of the 4-node shell element with one point quadrature.” Comput. Methods in Appl. Mech. Engrg., 113, 321–350.
3.
Burton, W. S., and Noor, A. K. (1995). “Assessment of computational models for sandwich panels and shells.” Comput. Methods in Appl. Mech. Engrg., 124, 125–151.
4.
Byun, C., and Kapania, R. K. (1992). “Prediction of interlaminar stresses in laminated plates using global orthogonal interpolation polynomials.” AIAA J., 30(11), 2740–2749.
5.
Chang, F. K., Perez, J. L., and Chang, K. Y. (1990). “Analysis of thick laminated composites.” J. Composite Mat., 24, 801–822.
6.
Dong, S. B., and Tso, F. K. W. (1972). “On a laminate orthotropic shell theory including transverse shear deformation.” J. Appl. Mech., 39, 1091–1096.
7.
Hughes, T. J. R. (1987). The finite element method: Linear static and dynamic finite element analysis. Prentice-Hall, Englewood Cliffs, N.J.
8.
Jones, R. M. (1975). Mechanics of composite materials. McGraw-Hill, New York.
9.
Noor, A. K., and Burton, W. S. (1989). “Assessment of shear deformation theories for multi-layered composite plates.” Appl. Mech. Rev., 42(1), 1–13.
10.
Noor, A. K., and Burton, W. S. (1990). “Assessment of computational models for multi-layered composite shells.” Appl. Mech. Rev., 43(4), 67–97.
11.
Pagano, N. J. ( 1989). “Interlaminar response of composite materials.” Composite materials series, Vol. 5, Elsevier Science, New York.
12.
Pagano, N. J., and Pipes, R. B. (1973). “Some observations on the interlaminar strength of composite laminates.” Int. J. Mech. Sci., 15, 679.
13.
Pinsky, P. M., and Jasti, R. V. (1989). “A mixed finite element for laminated composite plates based on the use of bubble functions.” Engrg. Computations, Swansea, Wales, 6, 316–330.
14.
Pinsky, P. M., and Kim, K. O. (1986). “A multi-director formulation for elastic-viscoelastic layered shells.” Int. J. Numer. Methods in Engrg., 23, 2213–2244.
15.
Pipes, R. B., and Daniel, I. M. (1971). “Moiré analysis of the interlaminar shear edge effect in laminated composites.” J. Composite Materials, 255–259.
16.
Pipes, R. B., and Pagano, N. J. (1970). “Interlaminar stresses in composite laminates under uniform axial extension.” J. Composite Mat., 4, 538–548.
17.
Reddy, J. N. (1984a). “A simple higher-order theory for laminated composite plates.” J. Appl. Mech., 51, 745–752.
18.
Reddy, J. N. (1984b). “A refined non-linear theory of plates with transverse shear deformation.” Int. J. Solids and Struct., 20, 881– 896.
19.
Reddy, J. N. (1993). “An evaluation of equivalent-single-layer and layer-wise theories of composite laminates.” Composite Structures, 25, 21–35.
20.
Robbins, D. H., Reddy, J. N., and Murty, A. V. K. ( 1991). “On the modeling of delamination in thick composites.” Enhanced analysis techniques for composite materials, L. Schwer, J. N. Reddy, and A. Mal, eds.
21.
Simo, J. C., and Hughes, T. J. R. (1986). “On the variational foundations of assumed strain methods.” J. Appl. Mech., 53, 51–54.
22.
Ting, T. C. T. (1996). Anisotropic elasticity: Theory and applications. Oxford University Press, New York.
23.
Vu-Quoc, L., and Deng, H. (1995). “Galerkin projection for geometrically exact sandwich beams allowing for ply drop-off.” J. Appl. Mech., 62(2), 479–488.
24.
Whitney, J. M. (1987). Structural analysis of laminated anisotropic plates. Technomic Publishing Co., Lancaster, Pa.
25.
Whitney, J. M., and Pagano, N. J. (1970). “Shear deformation in heterogeneous anisotropic plates.” J. Appl. Mech., 37, 1031.
26.
Yang, H. T. Y., Saigal, S., Masud, A., and Kapania, R. K. (1999). “A survey of recent shell finite elements.” Int. J. Numer. Methods in Engrg., in press.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 10 • October 1999
Pages: 1115 - 1124
History
Received: Nov 23, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999
Authors
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.