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Interlaminar-shear-strain measurements in cord-rubber composites

An X-ray technique is described for measuring both the magnitude and distribution of interlaminar-shear strain produced by uniaxial stretching of cord-rubber laminates

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Abstract

The present work is an experimental study using an X-ray technique to measure directly the internal distribution of interlaminar-shear deformations which occur during uniaxial extension of two-ply, cord-rubber, angle-ply laminates—both balanced and unbalanced. Significant interlaminar-shear strains were developed between the two generally orthotropic layers of one-inch-wide specimens, which decreased almost linearly from a maximum at the edges to zero at the center line. These measurements, and those as a function of cord angle, were in good agreement with predictions obtained from various theories of laminated shear-flexible composites.

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Abbreviations

A :

cross-sectional area of cord, in.2 (mm2)

E f :

Young's modulus of cord, psi (MPa)

E m :

Young's modulus of interply rubber, psi (MPa)

G :

shear modulus of interply rubber, psi (MPa)

\(\bar Q_{ij} \) :

transformed reduced-stiffness matrix, psi (MPa)

S 11,S 12,S 22,S 66 :

principal compliances, psi−1 [(MPa)−1]

\(\bar S_{16} \) :

shear-coupling compliance, psi−1 [(MPa)−1]

b :

half-width of specimen, in. (mm)

ℓ:

half-length of specimen, in. (mm)

n :

number of cords/in. (perpendicular to cords)

t :

thickness of interply rubber, in. (mm)

t 0 :

thickness of composite layer, in. (mm)

u, v, w :

displacements in x, y and z directions, respectively, in. (mm)

γ:

shear strain

ε:

normal strain

θ:

angle between cord and loading direction of specimen, deg (rad)

ν:

Poisson's ratio

σ:

tensile stress, psi (MPa)

ϕ:

included angle between cords in adjacent plies, deg (rad)

References

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Lou, A.Y.C., Walter, J.D. Interlaminar-shear-strain measurements in cord-rubber composites. Experimental Mechanics 18, 457–463 (1978). https://doi.org/10.1007/BF02324281

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  • DOI: https://doi.org/10.1007/BF02324281

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