Clinical findings have demonstrated that curved and torturous configuration of aorta is one of the prime factor resulting in instability of endograft (stent-graft) devices used for treatment of thoracic aortic aneurysms (TAA). Other factors influencing stability of device are in-vivo biomechanical environment and device design features. Currently, there is dearth of studies quantifying stability of different stent-graft designs in various aortic curvatures. The prime aim of study is to investigate mechanics of stent-graft positional stability for varying aortic curvatures under uniform blood pressure loading. The main building blocks of proposed frame work are: (a) three dimensional modeling of stentdevices, (b) proximal-distal regions of aorta forming device landing zones, (c) realistic multi-material constitutive law for aorta, stent and graft and (d) coulomb’s frictional model to describe stability between aorta and graft. Henceforth, proposed study can quantify device-specific and curvature-specific performance for long-term stability. Thus, potentially minimizing postoperative complication such as device migration and collapsing of device leading to endoleaks. Keywords: Stent-graft, Curvature, Landing zone, CSM, TAA, Migration, Endoleaks.