Analysis of Symmetric Laminated Rectangular Plates in Plane Stress

YANG Duan-sheng; HUANG Yan; REN Xian-hai

Volume 27 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(12): 1506-1512

YANG Duan-sheng, HUANG Yan, REN Xian-hai. Analysis of Symmetric Laminated Rectangular Plates in Plane Stress[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1506-1512.

Citation:

YANG Duan-sheng, HUANG Yan, REN Xian-hai. Analysis of Symmetric Laminated Rectangular Plates in Plane Stress[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1506-1512.

Citation:

YANG Duan-sheng, HUANG Yan, REN Xian-hai. Analysis of Symmetric Laminated Rectangular Plates in Plane Stress[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1506-1512.

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Analysis of Symmetric Laminated Rectangular Plates in Plane Stress

1.
College of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha 410076, P. R. China;

Received Date: 2005-04-19
Rev Recd Date: 2006-07-24
Publish Date: 2006-12-15

Abstract

Abstract

Symmetric laminated plates usually used are anisotropic plates. Based on fundamental equation for anisotropic rectangular plates in plane stress problem, a general analytical solution was established by method of stress function accurately. Therefore it gives the general formula of stress and displacement in plane. The integral constants in general formula can be determined by boundary conditions. This general solution composes the composite solution made by trigonometric function and hyperbolic function which can satisfy the problem of arbitrary boundary conditions along four edges. The algebraic polynomial solutions which can satisfy the problem of boundary conditions at four corners. Consequently this general solution can be used to solve the plane stress problem with arbitrary boundary conditions. For example, a symmetric laminated square plate acted with uniform normal load and tangential load and non-uniform normal load on four edges has been calculated and analyzed.
- symmetric laminated plate,
- anisotropic,
- stress function methodology,
- strain,
- displacement

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References(11)

References

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