Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate

Ye Bi-quan; Chou Huan-wen

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(3): 189-194

Ye Bi-quan, Chou Huan-wen. Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate[J]. Applied Mathematics and Mechanics, 1990, 11(3): 189-194.

Citation:

Ye Bi-quan, Chou Huan-wen. Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate[J]. Applied Mathematics and Mechanics, 1990, 11(3): 189-194.

Citation:

Ye Bi-quan, Chou Huan-wen. Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate[J]. Applied Mathematics and Mechanics, 1990, 11(3): 189-194.

PDF( 349 KB)

Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate

Wuhan University, Wuhan

Received Date: 1988-12-28
Publish Date: 1990-03-15

Abstract

Abstract

In this paper, we consider a bending laminated plate. At first, the dimensionless variables are used to transform the equilibrium equations of any layer to perturbation differential equations. Secondly, the composite expansion is used and the solution domain is divided into interior and boundary layer regions and the mathematical models for the outer solution and the inner solution are yielded respectively. Then, the inner solution is expressed with the boundary intergral equation.

FullText(HTML)

References(8)

References

[1]	Pipes,R.B.and N.J.Pagano,Interlaminar stresses in composite laminates under uniform axial extension,J.Comp.Matherials.4(1970).
[2]	Wang,A.S.D.and F.W.Crossman,Some new results on edge effects in symmetric composite laminates,J.Comp.Materials,11(1977).
[3]	Pichas,R.Y.and T.H.H.Pian,Calculation of interlaminar stress concentration in composite laminates,J.Comp.Materials.15(1981).
[4]	Loo,Tsu-tao,On the nature of interlaminar edge stress in laminated composite structures,Proceedings of International Symposium on Composite Materials and Structures.Beijing,China.June(1986).10-13.
[5]	叶碧泉、周焕文,层状复合材料结构边缘效应数值分析,应用数学和力学,9,5 (1988年),.403-410.
[6]	周焕文,奇摄动在圆板大挠度问题中的应用,《奇异摄动理论及其在力学中的应用》(钱伟长主编),科学出版社(1981年).
[7]	彭晓林、何广乾,广义函数法边界积分方程的建立,应用数学和力学,7,6 (1986年),497-504.
[8]	齐民友编著,《线性偏微分算子引论》,科学出版社(1986年).