Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms.

Jia Lu; Xianlian Zhou; Madhavan L Raghavan

doi:10.1016/j.jbiomech.2006.01.015

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Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms.

Jia Lu·Xianlian Zhou·Madhavan L Raghavan

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Abstract

In stress analysis of membrane-like biological structures, the geometry constructed from in vivo image, which often corresponds to a deformed state, is routinely taken as the initial stress-free geometry. In this paper, we show that this limitation can be completely removed using an inverse elastostatic approach, namely, a method for finding the initial geometry of an elastic body from a given deformed state. We demonstrate the utility of the inverse approach using a patient-specific abdominal aortic aneurysm model, and identify the scope of error in stress estimation in the conventional approach within a realistic range of material parameter variations.

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Aortic Aneurysm, Abdominal Biomechanical Phenomena Elasticity Finite Element Analysis Models, Biological Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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Jia Lu, Xianlian Zhou, Madhavan L Raghavan. 2006-03-20. Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms.. https://doi.org/10.1016/j.jbiomech.2006.01.015

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