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For example, in case of for a circular fibres in a square array, and for rectangular fibres cross section of length and width in a hexagonal array, where is in the direction of loading. Similarly, for for circular fibres in a square array , and for rectangular cross-section with length and width in a hexagonal array, , where is in the loading direction.
Note: In case of transversely isotropic material in 23 plane, the constitutive relations are given as
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(7.296) |
and
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(7.297) |
Here, the moduli and refer to the values in the longitudinal or axial direction of straining and and refer to the values in transverse plane. Further, the Poisson’s ratios are defined as and under the uniaxial tensions in 1 and 2 directions, respectively.
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