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

• Published in: Journal of biomechanics Vol. 40; no. 3; pp. 693 - 696
• Main Authors: Lu, Jia, Zhou, Xianlian, Raghavan, Madhavan L
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01-01-2007; Elsevier Limited
• Subjects: Abdomen; Aortic aneurysm; Aortic Aneurysm, Abdominal - pathology; Aortic aneurysms; Biomechanical Phenomena; Elasticity; Finite Element Analysis; Geometry; Inverse elastostatics; Inverse finite element method; Models, Biological; Patient-specific analysis; Physical Medicine and Rehabilitation; Residual stress; Stress analysis; Patient-specific analysis; Aortic aneurysm; Inverse finite element method; Inverse elastostatics
• ISSN: 0021-9290; 1873-2380
• DOI: 10.1016/j.jbiomech.2006.01.015

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.