The following data has been obtained experimentally for a composite based on an

Question

The following data has been obtained experimentally for a composite based on an unidirectional carbon-expiry preppreg ( MR50 Carbon fiber at 63 by volume in LTM25 epoxy) determine if the restrictions on elastic constants are satisfied E1=156.403 E2=7.786 v12=0.352 v21=0.016 G12=3.762 The following data has been obtained experimentally for a composite based on an unidirectional carbon-expiry preppreg ( MR50 Carbon fiber at 63 by volume in LTM25 epoxy) determine if the restrictions on elastic constants are satisfied E1=156.403 E2=7.786 v12=0.352 v21=0.016 G12=3.762 E1=156.403 E2=7.786 v12=0.352 v21=0.016 G12=3.762

Explanation / Answer

Following are the experimental test outcomes available with us for the specified composite specimen,

E1=156.403 MPa             ( I suppose the material properties of E1 and E2 as MPa)

E2=27.786 MPa

v12=0.352

v21=0.016

G12=3.762

The type of composite specimen tested in lab is unidirectional carbon-epoxy composite, hence its behavior will be transversely isotropic in nature.

Transversely isotropic material is the one with physical properties which are symmetric about an axis that is normal to a plane of isotropy.

For validating the fundamental physical laws, following equations acts as restraints on values of elastic constants:

1.   E1,E2,G12 > 0

      E1=156.403>0,  E2=7.786>0,  G12=3.762>0

2.   (1-v12*v21)>0

       (1-(0.352*0.016))=0.995>0

Hence we can conclude that the outcomes of experimental test are physical in nature satisfying the required

restraints.

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