Effect of residual stress on peak cap stress in arteries

  • Received: 01 January 2014 Accepted: 29 June 2018 Published: 01 June 2014
  • MSC : Primary: 92C10; Secondary: 74A10.

  • Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinear elasticity as incompressible cylindrical structures that are residually stressed through differential growth. These structures are assumed to have a nonlinear, anisotropic, hyperelastic response to stresses in the media and adventitia layers and an isotropic response in the intima and necrotic layers. The effect of differential growth on the peak stress is explored in a simple, concentric geometry and it is shown that axial differential growth decreases the peak stress in the inner layer. Furthermore, morphological risk factors are explored. The peak stress in residually stressed cylinders is not greatly affected by changing the thickness of the intima. The thickness of the necrotic layer is shown to be the most important morphological feature that affects the peak stress in a residually stressed vessel.

    Citation: Rebecca Vandiver. Effect of residual stress on peak cap stress in arteries[J]. Mathematical Biosciences and Engineering, 2014, 11(5): 1199-1214. doi: 10.3934/mbe.2014.11.1199

    Related Papers:

  • Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinear elasticity as incompressible cylindrical structures that are residually stressed through differential growth. These structures are assumed to have a nonlinear, anisotropic, hyperelastic response to stresses in the media and adventitia layers and an isotropic response in the intima and necrotic layers. The effect of differential growth on the peak stress is explored in a simple, concentric geometry and it is shown that axial differential growth decreases the peak stress in the inner layer. Furthermore, morphological risk factors are explored. The peak stress in residually stressed cylinders is not greatly affected by changing the thickness of the intima. The thickness of the necrotic layer is shown to be the most important morphological feature that affects the peak stress in a residually stressed vessel.


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    [1] Proceedings of the ASME 2011 Summer Bioegnineering ConferenceArtery Research, 5 (2011), 159-160.
    [2] Biomedical Engineering Online, 10 (2011), 1-13.
    [3] Ultrasonics, 42 (2004), 723-729.
    [4] Journal of Biomechanics, 42 (2009), 1650-1655.
    [5] Circulation, 92 (1995), 657-671.
    [6] Coronary artery disease, 15 (2004), 13-20.
    [7] IMA Journal of Applied Mathematics, 75 (2010), 549-570.
    [8] John Wiley & Sons Ltd. 2000.
    [9] Journal of Biomechanical Engineering, 126 (2004), 264-275.
    [10] Annals of Biomedical Engineering, 35 (2007), 530-545.
    [11] American Journal of Physiology-Heart and Circulatory Physiology, 289 (2005), H2048-H2058.
    [12] Archives of Computational Methods in Engineering, 15 (2008), 1-36.
    [13] J. Appl. Mech., 36 (1968), 1-6.
    [14] Circulation, 83 (1991), 1764-1770.
    [15] Arteriosclerosis, Thrombosis, and Vascular Biology, 12 (1992), 1-5.
    [16] Journal of Biomechanics, 40 (2007), 3715-3724.
    [17] Journal of Biomechanics, 39 (2006), 2611-2622.
    [18] Journal of Biomechanical Engineering, 110 (1988), 82-84.
    [19] Circulation research, 71 (1992), 850-858.
    [20] Arteriosclerosis, Thrombosis, and Vascular Biology, 14 (1994), 230-234.
    [21] Circulation, 108 (2003), 1664-1672.
    [22] Biomech. Model. Mechanobiol., 11 (2011), 801-813.
    [23] American Journal of Physiology-Heart and Circulatory Physiology, 293 (2007), H1987-H1996.
    [24] American Journal of Physiology-Heart and Circulatory Physiology, 295 (2008), H717-H727.
    [25] Journal of Biomechanics, 30 (1997), 819-827.
    [26] Journal of Biomechanics, 27 (1994), 455-467.
    [27] Expert Review of Cardiovascular Therapy, 8 (2010), 1469-1481.
    [28] Journal of Theoretical Biology, 193 (1998), 201-213.
    [29] Journal of Biomechanical Engineering, 120 (1998), 348-354.
    [30] Journal of Theoretical Biology, 180 (1996), 343-357.
    [31] Journal of Biomechanical Engineering, 123 (2001), 528-535.
    [32] Stroke, 40 (2009), 3258-3263.
    [33] Annals of Biomedical Engineering, 32 (2004), 947-960.
    [34] Journal of Biomechanical Engineering, 132 (2010), 031007.
    [35] Journal of Biomechanics, 20 (1987), 235-237.
    [36] Biomedical Materials and Engineering, 9 (1999), 311-318.
    [37] PNAS, 103 (2006), 14678-14683.
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  • © 2014 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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