Composite Beam Element with Layerwise Plane Sections
Publication: Journal of Engineering Mechanics
Volume 120, Issue 5
Abstract
Based on generalized laminate plate theory (GLPT), the formulation of a one‐dimensional laminated beam finite element with layerwise constant shear (BLCS) is presented. BLCS formulation is equivalent to a first‐order shear deformation beam theory (Timoshenko beam theory) on each layer, and a cross section of the beam therefore does not necessarily remain plane through the laminate but only through each layer. Plane stress is assumed through both the thickness and width of the beam in the constitutive equation for a lamina. Details are presented for transforming the layerwise constant shear stresses obtained from constitutive relations into parabolic shear stress distributions. The layerwise representation of in‐plane displacement through the thickness results in the formulation of a relatively simple beam element. Numerical analyses are presented for a three‐node BLCS element integrated with two Gauss points. The accuracy of the element is evaluated by comparing the predictions to elasticity and experimental results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chaudhuri, R. A., and Seide, P. (1987). “An approximate semi‐analytical method for prediction of interlaminar shear stresses in an arbitrarily laminated thick plate.” Comput. and Struct., 25(4), 627–636.
2.
Cook, R. D., Malkus, D. S., and Plesha, M. E. (1989). Concepts and application of finite element analysis. 3rd Ed., John Wiley & Sons, New York, N.Y.
3.
Jones, R. M. (1975). Mechanics of composite materials. Scripta Book Co., Washington, D.C.
4.
Kant, T., and Manjunath, B. S. (1989). “Refined theories for composite and sandwich beams with C∘ finite elements.” Comput. and Struct., 33(3), 755–764.
5.
Kapania, R. K., and Raciti, S. (1989). “Recent advances in analysis of laminated beams and plates, Part 1: shear effect and buckling.” AIAA J., 27(7), 923–934.
6.
Kemmochi, K., and Uemura, M. (1980). “Measurement of stress distribution in sandwich beams under four‐point bending.” Experimental Mech., 20(3), 80–86.
7.
Noor, A. K., and Burton, W. S. (1989). “Assessment of shear deformation theories for multilayered composite planes.” Appl. Mech. Rev., 42(2), 1–13.
8.
Pagano, N. J. (1969). “Exact solutions for composite laminates in cylindrical bending.” J. of Composite Mater., 3(7), 368–411.
9.
Pryor, C. W., and Barker, R. M. (1971). “A finite‐element analysis including transverse shear effects for applications to laminated plates.” AIAA J., 9(5), 912–917.
10.
Reddy, J. N. (1987). “A generalization of two‐dimensional theories of laminated composite plates.” Commun. in Appl. Numer. Meth., 3, 173–180.
11.
Reddy, J. N., Barbero, E. J., and Teply, J. L. (1989). “A plate bending element based on a generalized laminate plate theory.” Int. J. Numer. Meth. in Engrg., 28(10), 2275–2292.
12.
Yuan, F. G., and Miller, R. E. (1989). “A new finite element for laminated composite beams.” Comput. and Struct., 31(5), 737–745.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 5 • May 1994
Pages: 1160 - 1166
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jun 22, 1992
Published online: May 1, 1994
Published in print: May 1994
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.