Please use this identifier to cite or link to this item:
標題: 斜角脫層之研究
On the Oblique Delaminations
作者: 黃憲裕
Huang, Hsien-Yu
關鍵字: buckle;挫曲;delamination;oblique;脫層;斜角
出版社: 應用數學系所
引用: 1. Yin, W.-L., Sallam, S. N., and Simitses, G.. J., “Ultimate axial load capacity of a delaminated beam-plate,” AIAA Journal, Vol. 24, pp123-128(1986). 2. Simitses, G. J., Sallam, S. N. and Yin, W.-L., “Effect of delamination of axially loaded homogeneous laminated plates,” AIAA Journal, Vol.23, pp.1437-1444(1985). 3. Sallam, S. N., “Effect of delamination on axially-loaded plate and shell like elements,” Ph. D thesis, Georgia Institute of Technology, Georgia Tech Library, Atlanta, Georgia(1986). 4. Bottega, W. J. and Maewal, A., “Delamination buckling and growth in laminates”, Journal of Applied Mechanics, Vol. 50, No 1, pp. 184-189(1983). 5. Bottega, W. J. and Maewal, A., “Dynamics of delamination buckling,” International Journal of Non-Linear Mechanics, Vol. 18, No 6, pp. 449-463(1983). 6. Yin, W.-L. and Jane, K. C., “Refined Buckling and Postbuckling Analysis of Two-dimensional Delaminations -- I. Analysis and Validation,” International Journal of Solids and Structures, Vol.29, No.5, pp.591-610(1992). 7. Jane, K. C. and Yin, W.-L., “Refined Buckling and Postbuckling Analysis of Two-dimensional Delaminations -- II. Results for Anisotropic Laminates and Conclusion,” International Journal of Solids and Structures, Vol.29, No.5, pp.611-639(1992). 8. Shivakumar, K.N. and Whitcomb, J.D., “Buckling of a Sublaminate in a Quasi-Isotropic Composite Laminate,” Journal of Composite Materials, Vol. 19, No. 1, 2-18 (1985). 9. Anderson, R. A., “Charts giving critical compressive stress of continuous flat sheet divided in to parallelogram shaped panels,” NACA., TN.2392 (1951). 10. Guest, J., “The buckling of uniformly compressed parallelogram plates having all edges clamped,” Report. SM 172, Aeronautical Research Laboratories, Melbourne, Australia (1951). 11. Wittrick, W.H., “Buckling of oblique plates with clamped edges under uniform compression,” Aeronautical Quarterly, 4, 151-163(1953). 12. Wittrick W.H., “ Buckling of oblique plates with clamped edges under uniform shear,” Aeronautical Quarterly, 5, 39-51(1954). 13. Ashton, J. E., “Stability of clamped skew plates under combined loads,” Journal of Applied Mechanics, 36, 139-140(1969). 14. Prabhu, M.S.S., Durvasula, S., “Stability of clamped skew plates,” Appl. Sci. Res., 26. 255-271(1972). 15. Thangam B.P.V., Reddy, D.V., “ Stability analysis of skew orthotropic plates by the finite strip method,” Computers and Structures, 8, 599-607(1978). 16. Kennedy, J.B., Prabhakara, M.K., “Combined load buckling of orthotropic skew plates,” Journal of Engineering Mechanics, 105, 71-79(1979). 17. Tham, L.G., Sezto, H.Y., “Buckling analysis of arbitrarily shaped plates by spline finite strip method,” Computes and Structures, 36,729-735(1990). 18. York, C.B., Williams, F.W., “Buckling analysis of skew plate assembles: classical plate theory results incorporating Lagrangian multipliers,” Computers and Structures, 36, 625-635(1993). 19. Reddy, A.R.K., Palaninathan, R., “Buckling of laminated skew plates,” Thin-Walled Structures, 22, 241-259(1995). 20. Wang, S., “Buckling analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plates theory,” Composite Structures, 37, 5-19(1997). 21. Huyton, P., York, C.B., “Buckling of skew plates with continuity or rotational edge restraint,” Journal of aerospace engineering, 14, 92-101, (2001). 22. Wang, X., Tan, M. and Zhou, Y., “Buckling analyses of anisotropic plats and isotropic skew plates by the new version differential quadrature method,” Thin-Walled Structures, 41, 15-29(2003). 23. Jane, K.C., Liao H.W., Hong, W., “Validation of Rayleigh-Ritz method on the postbuckling analysis of rectangular plates with application to delamination growth,” Mechanics Research Communication, 30, 531-538(2003). 24. Yin, W.-L., “The energy release rate in the general delaminates problem of anisotropic laminates under thermomechanical loads,” Journal of Applied Mechanics, Vol.65, pp.85-92 ,1998. 25. Argyris, J. H., “Continua and discontinua,” Proceedings of the matrix Methods in Structural Mechanics, Wright Air Development Center, Ohio, Oct.26-28, 11-190(1966). 26. Durvasula, S., “Buckling of clamped skew plates,” AIAA Journal, 8, 178-181(1970). 27. Wang, C.M., Liew K.M., Alwis, W.A.M., “Buckling of skew plates and corner condition for simply supported edged,” Journal of Engineering Mechanics, 118, 651-662(1992). 28. York, C.B., “Influence of continuity and aspect-ratio on the buckling of skew plates and plate assemblies,” Solids Structure, 33, 2133-2159(1996). 29. Shrivastava, A. K., Singh, R. K., “Effect of aspect ratio on buckling of composite plates,” Composites Science and Technology, 59, 439-445(1999). 30. Bottega, W. J., “A growth law for propagation of arbitrary shaped delamination in layered plates,” Int. J. Solid Structures. Vol.19, pp.1009-1017(1983).

The bucking and nonlinear postbuckling analyses of a fully clamped, homogenous isotropic skew plates using Rayleigh-Ritz method with a set of nominal polynomial as trial function are presented. Numerical results based on polynomial expansions of various degrees have been examined. The proper choices of terms of the trial functions will obtain the lower bound solutions. These high-order Rayleigh-Ritz solutions have accurate solution as compared to the other existing solutions.The results suggest that higher degree polynomials should be used in the expansions of the displacements so as to allow adequate modeling of the non-uniformity of the deformation.

This set of higher degree polynomial is required to provide a reasonably accurate assessment of the delamination buckling and growth behavior. Reasonably accurate solutions for the membrane forces, the bending and twisting moments and the pointwise energy release rates generally require 72 or more unknown coefficients. Such refined postbuckling solutions show significant non-uniformity of the in-plane forces and strains and certain boundary effects characterized by concentration of the curvatures and the bending moment along the edge. These effects have important implications for the buckling and growth of delamination in laminated plates.

Based on the chosen set of higher degree polynomial, the buckling and the postbuckling deformations for anisotropic laminates are obtained. The thin-film delamination growth of delaminated laminates discussed. Buckling loads have been determined for different aspect ratios. It is observed that the effect of boundary conditions on the buckling load increases with increasing aspect ratio. The resultants for the force and moment resultants and for the pointwise energy-release rates show complex patterns of behavior, which depends on the orientation and the stacking sequence of the plies in the delamination and on the aspect ratio of the laminates.
其他識別: U0005-0208200901084700
Appears in Collections:應用數學系所

Show full item record

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.