Acta Mechanica Solida Sinica

, Volume 21, Issue 2, pp 127–140

# Analysis of Inter-Laminar Stresses for Composite Laminated Plate with Interfacial Damage

• Yiming Fu
• Sheng Li
• Yejie Jiang
Article

## Abstract

A constitutive model for composite laminated plates with the damage effect of the intra-layers and inter-laminar interface is presented. The model is based on the general six-degrees-of-freedom plate theory, the discontinuity of displacement on the interfaces are depicted by three shape functions, which are formulated according to solutions satisfying three equilibrium equations. By using the variation principle, the three-dimensional non-linear equilibrium differential equations of the laminated plates with two different damage models are derived. Then, considering a simply supported laminated plate with damage, an analytical solution is presented using finite difference method to obtain the inter-laminar stresses.

## Key words

composite laminated plates geometric nonlinearity inter-laminar stress analysis interfacial damage the finite difference method

## References

1. [1]
Goodman, J.R. and Popov, E.P., Layered beam systems with interlayer slip. America Society of Civil Engineering, Journal of structure Division, 1968, 94(ST11): 2535–2547.Google Scholar
2. [2]
Needleman, A., A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics, 1987, 54(3): 525–531.
3. [3]
Needleman, A., An analysis of decohersion along an imperfect interface. Interational Journal of Fracture, 1990, 42(1): 21–40.
4. [4]
Toledano, A. and Murakami, H., Shear-deformable two-layer plate theory with interlayer slip. America Society of Civil Engineering, Journal of Engineering Mechanics Division, 1988, 144(4): 604–623.
5. [5]
Barbero, E.J. and Reddy, J.N., Modeling of delamination in composite laminates using a layer-wise plate theory. International Journal of Solids and Structures, 1991, 28(3): 373–388.
6. [6]
Point, N. and Sacco, E., Delamination of deams: an application of the DCB specimen. International Journal of Fracture, 1996, 79: 225–247.
7. [7]
Point, N., Sacco, E., A delamination for laminated composites. International Journal of Solids and Structures, 1996, 33(1): 483–509.
8. [8]
Fan, J. and Zhang, X.C., The evaluation of stress intensity factors of plane crack for orthotropic plate with equal parameter by F2LFEM. Acta Mechanica Solida Sinica. 2006, 19(2): 128–134.
9. [9]
Yan, W., Ying, J. and Chen, W.Q., A three-dimensional solution for laminated orthotropic rectangular plates with viscoelastic interfaces. Acta Mechanica Solida Sinica. 2006, 19(2): 181–188.
10. [10]
Fu, Y.M., Li, P. and Zheng, Y.F., Analysis of nonlinear dynamic response for viscoelastic composite plate with transverse matrix cracks. Acta Mechanica Solida Sinica, 2004, 17(3): 230–238.Google Scholar
11. [11]
Soldatos, K.P. and Watson, P., A general four-degrees-of-freedom theory suitable for the accurate stress analysis of homogeneous and laminated composite beams. International Journal of Solids and Structures, 1997, 34(21): 2857–2885.
12. [12]
Soldatos, K.P. and Watson, P., A method for improving the stress analysis performance of one- and two-dimensional theories for laminated composites. Acta Mechanica, 1997, 123(3): 163–186.
13. [13]
Soldatos, K.P. and Watson, P., Accurate stress analysis of laminated plates combining a two-dimensional theory with the exact three-dimensional solution for simply supported edges. Mathematics and Mechanics of Solids, 1997, 2(4): 459–489.
14. [14]
Shu, X.P. and Soldatos, K.P., An accurate de-lamination model for weakly bonded laminates subjected to different set of edge boundary conditions. International Journal of Mechanical Sciences, 2001, 43: 935–959.
15. [15]
Soldatos, K.P. and Shu, X.P., Modeling of perfectly and weakly bonded laminated plates and shallow shells. Composites science and technology 2001; 61: 247–260
16. [16]
Soldatos, K.P. and Shu, X.P., On the stress analysis of cross-ply laminated plates and shallow shell panels. Composite structures, 1999, 26: 333–344.