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This paper presents the modelling of the stress strain response of glass fiber reinforced epoxy (GRE) composite pipes subjected to multiaxial loadings at room temperature (RT). This particular modeling work was developed to predict the non-linear stress strain response caused by the fatigue cyclic and static loading in the multiaxial ultimate elastic wall stress (UEWS) tests by considering the effects of matrix cracking within the laminates. The UEWS test, whilst not yet standardized, appears to offer an attractive alternative to existing procedures of qualifying GRE pipes. The ply properties initially expressed as a function of crack density were computed as a function of increasing stress and strain using shear lag approximation. The results show that the model developed from the classical laminate theory which takes into account whether the effects of transverse matrix micro-cracks on stiffness and strains is capable of predicting the resulted elastic properties. The predictions are found to be in good agreement with the data from multiaxial UEWS tests on ±55° filament wound glass-reinforced epoxy pipes.