Intracranial saccular aneurysms are focal dilatations of the arterial wall that occur in and near the circle of Willis. These lesions are typically thin-walled and sphere-like in shape, and they exhibit a nonlinear, pseudoelastic behavior over finite strains; in addition it appears that unruptured lesions have negligible bending stiffness. Together, these observations suggest that one may employ a nonlinear membrane theory to study the associated mechanics.

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