Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms.
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.
Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242-1527, USA. jia-lu@uiowa.edu
Jia
J
Lu
Xianlian
X
Zhou
Madhavan L
ML
Raghavan
D017544:Aortic Aneurysm, Abdominal / Q000473:pathology*; D001696:Biomechanical Phenomena; D004548:Elasticity; D020342:Finite Element Analysis; D008954:Models, Biological