Intimal Hyperplasia (IH) is the phenomenon of vascular remodeling caused by the proliferation of smooth muscle cells, collagen, and extracellular matrix. This proliferation leads to the thickening of blood vessels leading to stenosis. Stenosis could cause heart failure and steal syndrome (reduction and reversal of blood flow). IH also has a significant impact on the failure of arteriovenous fistula and vein grafts. Consequently, IH requires urgent medical intervention. The wall shear stress is a critical parameter triggering IH. When the value of wall shear stress falls below a threshold limit, IH is initiated eventually leading to thickening of the lumen. In this work,IH is simulated using the Allen-Cahn Phase Field Model which captures the evolution of phases with the help of a phase field parameter. To mimic the phenomena of IH, a unique shear-stress dependent double well potential function is used. This double well potential function together with the wall shear stress determines the mass addition. The governing equations were solved using an open source finite element code (deal.II). Data from the literature was used to calibrate the model. Developed model was then demonstrated over a pathological condition and an attempt was made to predict the stenosis.