Modelling of Elastic Stress in Soft Tissue with Stenosed and Aneurysmal Arteries Under Hypertension Using a Viscoelastic and Non-Newtonian Framework

This study presents a comprehensive computational model for analysing arterial wall stress in stenosed and aneurysmal arteries under hypertensive conditions. The model integrates viscoelastic arterial wall behaviour, non-Newtonian blood flow using both the Carreau–Yasuda and a novel Bioadaptive Shear Model (BSM), and fatigue assessment via Miner’s Rule. A three-dimensional arterial segment with 50% stenosis and 30% aneurysm is simulated using a finite difference method under pulsatile pressure. Results reveal that stenosis significantly elevates wall shear stress (9.4 Pa) and fatigue damage (D = 0.67), while aneurysms show lower peak stress (4.5 Pa) with broader distribution. The BSM captures time-evolving shear-thinning viscosity, linking mechanical fatigue with hemorheological adaptation. This integrative approach enhances physiological realism and supports risk stratification, device design, and targeted interventions in hypertensive patients.