Johnson Hua, BS, William R. Mower, MD, PhD Journal of Vascular Surgery

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Presentation transcript:

Simple geometric characteristics fail to reliably predict abdominal aortic aneurysm wall stresses Johnson Hua, BS, William R. Mower, MD, PhD Journal of Vascular Surgery Volume 34, Issue 2, Pages 308-315 (August 2001) DOI: 10.1067/mva.2001.114815 Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 1 Geometry for finite element AAA representations are defined by meridional curve (thick line) and circular or elliptical cross sections (thin lines) that define outer wall. Cross sections are defined at 1.0-mm intervals. Inner walls are defined by 0.15-cm wall thickness. Finite element meshing is accomplished by dividing wall into three layers and 64 radial divisions. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 2 Finite element representations of aneurysms used in stress analyses. Models in top row (A1, B1, C1, D1) exhibit circular cross sections in regions of aneurysmal dilation, whereas models in lower two rows (A2, A3, B2, B3, C2, C3, D2, D3) exhibit elliptical cross sections. Models in columns B and D exhibit anteroposterior symmetry, whereas those in columns A and C are asymmetric. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 3 Important geometric characteristics of AAA cross sections. (A)DAAA, Maximum aneurysm diameter; RA, radius of normal aorta; RAAA, radius of aneurysm; ΔAAA, wall distension (Note; ΔAAA = RAAA – RA). (B)ra, Circumferential radius of curvature at point a; rb, circumferential radius of curvature at point b. (C) Major axis aM, minor axis am; aspect ratio = aM/am. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 4 Distribution of von Mises stresses on anterolateral and interior surfaces of aneurysms evaluated in this study. Stress legend is illustrated on right. Red areas indicate regions of high stress. Stresses are generally greater in aneurysms that have relatively flat walls (large radii of curvature) and lower in aneurysms that exhibit more rounded walls (smaller radii of curvature). Stresses are lowest in normal aortas (for clarity, edge effects caused by vascular tethering have been deleted). Interior cross sections of each aneurysm also provide visualization of stress distributions within wall of aneurysm. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 5 AAA stresses vary within thickness of wall and may be significantly different on inner and outer wall of aneurysm. Close up view of aneurysm in Fig 4, D3, reveals inner wall stresses of 15.0 × 106 dyne/cm2, more than three times greater than outer wall stresses of 4.50 × 106 dyne/cm2. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions

Fig. 6 Graphical representation of relationships between wall stress (× 106 dyne/cm2) and simple characteristics of AAA. Journal of Vascular Surgery 2001 34, 308-315DOI: (10.1067/mva.2001.114815) Copyright © 2001 Society for Vascular Surgery and The American Association for Vascular Surgery Terms and Conditions