Intracranial saccular aneurysms remain an enigma; it is not known why they
form, why they enlarge, or why only some of them rupture. Nonetheless, ther
e is general agreement that mechanics plays an essential role in each aspec
t of the natural history of these potentially deadly lesions. In this paper
, we review recent findings that discount limit point instabilities under q
uasi-static increases in pressure and resonance under dynamic loading as po
ssible mechanisms of enlargement of saccular aneurysms. Indeed, recent hist
opathological data suggest that aneurysms enlarge due to a stress-mediated
process of growth and remodeling of collagen, the primary load-bearing cons
tituent within the wall. We submit that advanced theoretical, experimental,
and numerical studies of this process are essential to further progress in
treating this class of pathologies. The purpose of this review is to provi
de background and direction that encourages elasticians to contribute to th
is important area of research.