On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites

Shear-lag equations for analysis of stresses in a multilayered composite were derived using a series of approximations to exact two-dimensional elasticity methods. The shear-lag equations derived with the fewest assumptions were termed the optimal, shear-lag analysis for planar problems in composite...

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Bibliographic Details
Published in:Mechanics of materials 2001-06, Vol.33 (6), p.335-362
Main Authors: Nairn, J.A., Mendels, D.A.
Format: Article
Language:English
Subjects:
Composite materials
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Condensed matter: structure, mechanical and thermal properties
Deformation and plasticity (including yield, ductility, and superplasticity)
Dielectric, piezoelectric, ferroelectric and antiferroelectric materials
Dielectrics, piezoelectrics, and ferroelectrics and their properties
Elasticity, elastic constants
Exact sciences and technology
Fatigue, brittleness, fracture, and cracks
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Physics
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Summary:Shear-lag equations for analysis of stresses in a multilayered composite were derived using a series of approximations to exact two-dimensional elasticity methods. The shear-lag equations derived with the fewest assumptions were termed the optimal, shear-lag analysis for planar problems in composites. A solution method for these equations was outlined based on eigenanalysis of a matrix of shear-lag parameters. The optimal, shear-lag analysis differs from most prior shear-lag methods in the literature. By adding more assumptions, we could reduce the optimal analysis to two common, prior shear-lag methods. These prior methods were labeled as interlayer, shear-lag analysis and parametric, interlayer, shear-lag analysis. Because these two interlayer methods required more assumptions than the optimal method, they are less accurate than that method. Several examples illustrated the types of problems that can be accurately solved by shear-lag analysis and the differences in accuracy between the various shear-lag methods. The results of this paper can be used to guide the derivation of future, improved shear-lag models or to evaluate the quality of prior shear-lag models.
ISSN:0167-6636
1872-7743
DOI:10.1016/S0167-6636(01)00056-4