Engineering Transactions, 50, 3, pp. 165–176, 2002

Finite-Element Model for Laminated Beam-Plates Composite Using Layervise Displacement Theory

V.E. Rosca
Technical University "Gh. Asachi"

V.F. Poteraşu
Technical University "Gh. Asachi"

N. Ţăranu
Technical University "Gh. Asachi"

B.G Rosca
Technical University "Gh. Asachi"

The paper uses the layerwise theory, i.e. the zigzag behaviour of the in-plane displacements through the thickness, and the Lagrange interpolation functions for finite element to compute the stresses and displacements in beams made by composite materials. The layerwise method can determine the interlaminar stresses and other localized effects with the same accuracy as 2D finite element method but less computer effort. We present as illustration two examples.
Full Text: PDF


A.A. AMNIPOUR, S.L. MCCLEARY, J.B. RANSOM and J.M. HOUSNER, A global/local analysis method for treating details in structural design, adaptive, multilevel, and hierarchical computational strategies, ASME, AMD, vol. 157, A.K. NOOR [Ed.], 119–137, 1992.

F.K. CHANG, J.L. PEREZ and K.Y.GHANO, Analysis of thick laminated composites, Journal of Composite Materials, 24, 801–821, 1990.

R.S. CHAUDHRI, P. SEIDE, Triangular finite element for analysis of thick laminated plates, International Journal for Numerical methods in Engineering, 24, 1203–1224, 1987.

M. DLSCIUVA, An improved shear deformation theory for moderately thick multi-layered anisotropic shells and plates, Journal Appl. Mech., 54, 589–596, 1987.

L.L. DUROCHER, R. SOŁECKI, Bending and vibration of isotropic two-layer plates, AIAA Journal, 13, 1522–1523, 1975.

R. JONES, R. CALLINAN, K.K. THE and K.C. BROWN, Analysis of multi layer laminates using three-dimensional super elements, International Journal for Numerical Methods in Engineering, 20, 3, 583–587, 1984.

A.K. NOOR, Free vibrations of multilayered composite plates, AIAA Journal, 11, 1038–1039, 1973.

N.J. PAGANO, Exact solutions for composite laminates in cylindrical bending, Journal of Composite Materials, 3, 398–411, 1969.

N.J. PAGANO, S.J. HATFIELD, Elastic behavior of multilayered bidirectional composites, AIAA Journal, 10, 931–933, 1972.

N.J. PAGANO, S.R. SONI, Global-local laminate variational model, International Journal of Solids and Structures, 19, 3, 207–228, 1983.

J.N. REDDY, A generalization of two-dimensional theories of laminated composite plates, Communications in Applied Numerical Methods, 3, 173–180, 1980.

J.N. REDDY, Mechanics of laminated composites plates: theory and analysis, CRC Press, Inc., 1997.

J.G. REN, A new theory of laminated plate, Composite Science and Technology, 26, 225–239, 1986.

M. SAVOIA, J.N. REDDY, A variational approach to three-dimensional elasticity solutions of laminated composite plates, Journal of Applied Mechanics, 59, S166–S175, 1992.

P. SEIDE, An improved approximate theory for the bending of laminated plates, Mechanics Today, 5, 451–466, 1980.

S. SRINIYAS, C.V. JOGA RAO and A.K. RAO, An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates, Journal of Sound and Vibration, 12, 187–199, 1970.

G.W. SWIFT, R.A. HELLER, Layered beam analysis, Journal of the Engineering Mechanics Divisions, ASCE, 100, 267–282, 1974.

T.K. YARADAN, K. BHASKAR, Bending of laminated orthotropic cylindrical shells – an elasticity approach, Composite Structures, 17, 141–156, 1991.

J.M. WHITNEY, Shear correction factors for orthotropic laminates under static load, Journal of Applied Mechanics, 40, l, 302–304, 1987.

W.H. WITTRICK, Analytical three-dimensional elasticity solutions to some piąte problems and some observations on Mindlin's plate theory, International Journal of Solids and Structures, 23, 441–464, 1987.

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland