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Structural Engineering and Mechanics Volume 18, Number 3, September 2004 , pages 377-388 DOI: https://doi.org/10.12989/sem.2004.18.3.377 |
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Free-edge effect in cross-ply laminated plates under a uniform extension |
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Hongyu Sheng and Jianqiao Ye
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| Abstract | ||
| Based on the basic equations of elasticity, free-edge effects on stresses in cross-ply laminated plates are found by using the state space method. The laminates are subjected to uniaxial-uniform extension plate, which is a typical example of general plane strain problem. The study takes into account material constants of all individual material layers and the state equation of a laminate is solved analytically in the through thickness direction. By this approach, a composite plate may be composed of an arbitrary number of orthotropic layers, each of which may have different material properties and thickness. The solution provides a continuous displacement and inter-laminar stress fields across all material interfaces and an approxiamte prediction to the singularity of stresses occurring in the boundary layer region of a free-edge. Numerical solutions are obtained and compared with the results obtained from an alternative numerical method. | ||
| Key Words | ||
| laminated plates; uniform extension; free edge effects; state equation; analytical solution. | ||
| Address | ||
| Hongyu Sheng; Institute of Civil Engineering, Hefei University of Technology, Hefei, 230009, P. R. China Jianqiao Ye; School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK | ||