An aortic aneurysm (thoracic or abdominal) is a permanent dilatation of the aorta caused by weakening in the arterial wall. The feared complication is aortic rupture or dissection, leading to potentially lethal aortic bleeding and associated with mortality rates up to 95%. Diagnosis of the aneurysm and especially its risk of rupture or dissection is highly challenging. If the aneurysm diameter and/or growth rate exceed a specific threshold (respectively 55 mm and 1 cm/year), a highly invasive and dangerous surgery is performed. However, several studies have shown no correlation between the maximum transverse diameter and the risk of rupture or dissection. Since aneurysm rupture is associated with multiple aortic tissue properties, both biomechanics-based and microstructurally-based criteria can be a promising alternative.