Simple and efficient interlaminar stress analysis of composite laminates with internal ply-drop

A stress function-based variational method is developed to investigate the interlaminar stresses near the dropped plies. The present method is based on expanding stress functions in terms of harmonic series to the out-of-plane direction. The stresses satisfying the traction free boundary conditions of tapered laminates are obtained by the complementary strain energy principle. Stress concentrations near the dropped plies are predicted well as the number of initially assumed out-of-plane stress functions is increased. The proposed method is relatively simple and efficient in the prediction of interlaminar stresses near the dropped plies. Therefore, it is expected that the proposed method can be used in the parametric study of the preliminary design stage of tapered composite laminates.

[1]  Maenghyo Cho,et al.  Optimization of laminates with free edges under bounded uncertainty subject to extension, bending and twisting , 2004 .

[2]  Abhijit Mukherjee,et al.  Development of a specialised finite element for the analysis of composite structures with ply drop-off , 1999 .

[3]  Maenghyo Cho,et al.  Layup Optimization Considering Free-Edge Strength and Bounded Uncertainty of Material Properties , 2003 .

[4]  S. G. Lekhnit︠s︡kiĭ Theory of elasticity of an anisotropic body , 1981 .

[5]  Liyong Tong,et al.  Optimization of Ply Drop-offs in Bonded Patch to Cylindrical Shell Structures , 2003 .

[6]  Anthony J. Vizzini,et al.  Effect of ply-drop configuration on delamination strength of tapered composite structures , 1996 .

[7]  N. J. Pagano,et al.  Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension , 1970 .

[8]  Maenghyo Cho,et al.  Iterative free-edge stress analysis of composite laminates under extension, bending, twisting and thermal loadings , 2000 .

[9]  Michael R Wisnom,et al.  Suppression of Delamination at Ply Drops in Tapered Composites by Ply Chamfering , 2006 .

[10]  Maenghyo Cho,et al.  Free-Edge Interlaminar Stress Analysis of Composite Laminates by Extended Kantorovich Method , 1999 .

[11]  Sung W. Lee,et al.  Delamination of tapered composite structures , 1989 .

[12]  N. Fleck,et al.  Compressive strength of composite laminates with terminated internal plies , 2005 .

[13]  Eric R. Johnson,et al.  A mixed variational formulation for interlaminar stresses in thickness-tapered composite laminates , 1996 .