In this study, a novel three-parameter viscoelastic foundation model has been developed to predict the long-term behaviors of FRP-strengthened reinforced concrete beams. Both the FRP plate and the RC beam are modeled as Timoshenko's beams connected through the adhesive layer, which is modeled as a three-parameter viscoelastic foundation using Standard Linear Solid model. Closed-form expressions of the time-dependent interface stresses and deflection of the beam are obtained using Laplace transform. The validation of this viscoelastic solution is verified by finite element analysis using a subroutine UMAT based on the Standard Linear Solid model.
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