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

Jia Lu, Xianlian Zhou, Madhavan L. Raghavan

Research output: Contribution to journalArticlepeer-review

108 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)693-696
Number of pages4
JournalJournal of Biomechanics
Volume40
Issue number3
DOIs
StatePublished - 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Orthopedics and Sports Medicine
  • Biomedical Engineering
  • Rehabilitation

Keywords

  • Aortic aneurysm
  • Inverse elastostatics
  • Inverse finite element method
  • Patient-specific analysis

Fingerprint Dive into the research topics of 'Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms'. Together they form a unique fingerprint.

Cite this