Interlaminar stresses in composite laminates: a perturbation analysis

A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions t...

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Bibliographic Details
Main Author: Hsu, Peter Wenhan
Other Authors: Engineering Mechanics
Format: Others
Language:en
Published: Virginia Polytechnic Institute and State University 2019
Subjects:
Online Access:http://hdl.handle.net/10919/87311
Description
Summary:A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions than previous investigations, predicts smooth continuous interlaminar stresses with no instabilities, determines the finite maximum intensity for the interlaminar normal stress σ<sub>𝒛</sub> in all laminates, provides mathematical evidences for the singular stresses τ<sub>xz</sub> and τ<sub>yz</sub> in angle-ply laminates, suggests the need for the experimental determination of an important problem parameter, and introduces a viable means for solving related problems of practical interest. The results indicate that for bidirectional laminates, the sign of σ<sub>𝒛</sub> depends upon the stacking sequence, while for angle-ply laminates is σ<sub>𝒛</sub> independent of the stacking sequence and is always a finite maximum tensile value at the free edge. Moreover, the results for bidirectional laminates compare favorably with Pipes’ finite difference solution. On the other hand, the results for the angle-ply laminates reveal that the present analysis has attained an improved solution for all interlaminar stresses. Typical results are presented for graphite-epoxy laminates. === Ph. D.