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Abstract
An eight-noded brick element is developed for accurate estimation of interlaminar stresses in composite laminates. This element incorporates the three transverse stresses σz, σyz and σxz as the degree of freedoms apart from the three displacements (u, v and w). The displacements are calculated as usual from the principle of virtual work, and the stresses are interpolated independently in the constitutive equation. In composite laminates the shear and normal stresses are continuous across the laminates. This stress continuity can be imposed using continuous shape functions for stress components. Studies are done for various laminates and results are compared with available solutions from the literature.
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References
- Pagano, N.J., "Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates", J Compos Mater, 4, pp. 20-34, 1970.
- Pipes, R.B. and Pagano, N.J., "Interlaminar Stresses in Composite Laminates Under Uniform Extension", J Compos Mater, 4, pp. 538-548, 1970.
- Reddy, J.N., "A Simple Higher Order Theory for Laminated Composite Plates", J Appl. Mech. ASME, 51, pp. 745-752, 1984.
- Barbero, E.J, Reddy, J.N. and Teply Jan., "An Accurate Determination of Stresses in Thick Laminates using a Generalized Plate Theory", Int J Numer.
- Meth. Engg., 29, pp. 1-14, 1990.
- Pagano, N.J., "Exact Solutions for Composite Laminates in Cylindrical Bending", J Compos Mater, 3, pp. 398-411, 1969.
- Wei, J. and Zhao, J.H., "Three Dimensional Finite Element Analysis on Interlaminar Stresses of Symmetric Laminates", Computers and Structures, 41 (4), pp. 561-567, 1991.
- Chorngg-Fuh Liu. and Homg-Shian Jou., "A New Finite Element Formulation for Interlaminar Stress Analysis", Computers and Structures, 48 (1), pp.135- 139, 1993.
- Wu Chih-Ping. and Yen Chung-Bing., "lnterlaminar Stress Mixed Finite Element Analysis of Un-symmetrically Laminated Composite Plates", Computers and Structures, 49 (3), pp. 411-419, 1993.
- Marimuthu, R., Sudershan, M.K. and Rao, G.V., "Estimation of Inter-laminar Stresses in Laminated Plates Subjected to Transverse Loading Using Three Dimensional Mixed Finite Element Formulation", J.
- Institution Engineers (India), 84, pp. 1-8, 2003.
- Yong Yook-Kong. and Cho Young., "Higher Order
- Partial Hybrid Stress Finite Element Formulation for
- Laminated Plate and Shell Analysis", Computers and
- Structures, 57 (5), pp. 817- 827, 1995.
- MSC NASTRAN Reference Manual.
- Reddy, J.N., "Mechanics of Laminated Composite
- Plates: Theory and Analysis", CRC Press, 1997.
- Pagano, N.J. and Hatfield, S.J., "Elastic Behavior of
- Multilayered Bi-directional Composites", AIAA
- Journal, 10, pp. 931-933, 1972.
References
Pagano, N.J., "Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates", J Compos Mater, 4, pp. 20-34, 1970.
Pipes, R.B. and Pagano, N.J., "Interlaminar Stresses in Composite Laminates Under Uniform Extension", J Compos Mater, 4, pp. 538-548, 1970.
Reddy, J.N., "A Simple Higher Order Theory for Laminated Composite Plates", J Appl. Mech. ASME, 51, pp. 745-752, 1984.
Barbero, E.J, Reddy, J.N. and Teply Jan., "An Accurate Determination of Stresses in Thick Laminates using a Generalized Plate Theory", Int J Numer.
Meth. Engg., 29, pp. 1-14, 1990.
Pagano, N.J., "Exact Solutions for Composite Laminates in Cylindrical Bending", J Compos Mater, 3, pp. 398-411, 1969.
Wei, J. and Zhao, J.H., "Three Dimensional Finite Element Analysis on Interlaminar Stresses of Symmetric Laminates", Computers and Structures, 41 (4), pp. 561-567, 1991.
Chorngg-Fuh Liu. and Homg-Shian Jou., "A New Finite Element Formulation for Interlaminar Stress Analysis", Computers and Structures, 48 (1), pp.135- 139, 1993.
Wu Chih-Ping. and Yen Chung-Bing., "lnterlaminar Stress Mixed Finite Element Analysis of Un-symmetrically Laminated Composite Plates", Computers and Structures, 49 (3), pp. 411-419, 1993.
Marimuthu, R., Sudershan, M.K. and Rao, G.V., "Estimation of Inter-laminar Stresses in Laminated Plates Subjected to Transverse Loading Using Three Dimensional Mixed Finite Element Formulation", J.
Institution Engineers (India), 84, pp. 1-8, 2003.
Yong Yook-Kong. and Cho Young., "Higher Order
Partial Hybrid Stress Finite Element Formulation for
Laminated Plate and Shell Analysis", Computers and
Structures, 57 (5), pp. 817- 827, 1995.
MSC NASTRAN Reference Manual.
Reddy, J.N., "Mechanics of Laminated Composite
Plates: Theory and Analysis", CRC Press, 1997.
Pagano, N.J. and Hatfield, S.J., "Elastic Behavior of
Multilayered Bi-directional Composites", AIAA
Journal, 10, pp. 931-933, 1972.