Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18065
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).
摘要: 
本文利用Rayleigh-Ritz法,以多項式函數分析均質等向斜板其挫曲及非線性挫曲後解。並根據不同階多項式展開所得之數值結果做檢測。選擇適當項數可得較好結果。而相較現存文獻,高階Rayleigh-Ritz解更為精確,可準確模擬其變形。
此高階多項式用來合理預測脫層挫曲及生成行為。一般需要72項或更多未定係數,來提出更合理精準的應力、彎矩、扭矩、點能量釋放率數值解。藉此看出由於邊緣曲率與彎矩集中特徵造成平面應力、應變不均勻邊界效應。此對層板挫曲及脫層生成有顯著影響。
根據選定較高階多項式求得非等向性層板的挫曲及挫曲後變形,並討論薄板脫層生成與求出不同長寬比層板的挫曲負載。挫曲負載隨著層板長寬比增加而增加。而應力、彎矩、扭矩、點能量釋放率其複雜型態與積層板纖維方向、堆疊順序及幾何長寬比有關。

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.
URI: http://hdl.handle.net/11455/18065
其他識別: U0005-0208200901084700
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