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Constitutive Modeling and Numerical Simulation of Coronary Arteries Mechanical Behavior in Stenting and Succeeding Growth  

, Ph.D. Dissertation Sharif University of Technology Fereidoonnezhad, Behrooz (Author) ; Naghdabadi, Reza (Supervisor) ; Sohrabpour, Saeed (Supervisor)
Abstract
Cardiovascular diseases are the major cause of death worldwide. Atherosclerosis is one of the major types of cardiovascular diseases in which fibrous and fatty materials, called plaque, build up inside the artery and cause partial or total occlusion of the artery. Intravascular balloon angioplasty with or without stenting is the most common treatment of this disease. In 2010, approximately 954000 stent implantations were performed in the United States. The major issue associated with stenting is reclosure or renarrowing of the transverse section of the artery termed in-stent restenosis (ISR). Unfortunately, nearly one–third of the patients
who receive stent implantation require further... 

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Constitutive Modeling and Numerical Simulation of Coronary Arteries Mechanical Behavior in Stenting and Succeeding Growth  

, Ph.D. Dissertation Sharif University of Technology Fereidoonnezhad, Behrooz (Author) ; Naghdabadi, Reza (Supervisor) ; Sohrabpour, Saeed (Supervisor)
Abstract
Cardiovascular diseases are the major cause of death worldwide. Atherosclerosis is one of the major types of cardiovascular diseases in which fibrous and fatty materials, called plaque, build up inside the artery and cause partial or total occlusion of the artery. Intravascular balloon angioplasty with or without stenting is the most common treatment of this disease. In 2010, approximately 954000 stent implantations were performed in the United States. The major issue associated with stenting is reclosure or renarrowing of the transverse section of the artery termed in-stent restenosis (ISR). Unfortunately, nearly one–third of the patients
who receive stent implantation require further... 

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  • Declaration of Authorship
  • Abstract (4)
  • Acknowledgements (6)
  • Introduction (22)
    • Overview of the arterial wall (22)
    • Cardiovascular diseases and treatments (28)
    • In-stent restenosis (31)
    • Scope and objectives (31)
    • Outline of thesis (32)
  • Preliminaries from Nonlinear Solid Mechanics (34)
    • Introduction (34)
    • Kinematics (35)
      • Kinematics of finite deformation (35)
      • Kinematics of finite growth (37)
    • Balance equations (38)
      • Master balance law (38)
      • Balance of mass (40)
      • Balance of linear and angular momentum (43)
      • Balance of internal energy (First law of thermodynamics) (44)
      • Balance of entropy (Second law of thermodynamics) (46)
      • Stress measures (47)
    • Constitutive equations (50)
      • Principles for the construction of constitutive equations (50)
      • Hyperelastic materials (53)
    • Finite element implementation (54)
      • Elasticity tensor (55)
      • User subroutines in Abaqus (56)
  • Constitutive Modeling of Arterial Tissue (58)
    • Introduction (58)
    • Hyperelasic constitutive model for physiological loadings (59)
    • Inelasic constitutive model for supra–physiological loadings (61)
      • Pseudo-elastic damage model (63)
      • Stress response and thermodynamic consistency (65)
      • Elasticity tensor (67)
      • Energy functions and damage variables (69)
    • Constitutive parameter identification (71)
      • Experimental data (71)
      • Material and damage parameters (74)
    • Finite element implementation and verification (78)
      • Implementation (78)
      • Verification (80)
    • Finite element simulation of arterial clamping (82)
      • Residual stress (82)
      • Geometry and material properties (82)
      • Loading and boundary conditions (83)
      • Mesh convergence (84)
      • Results (85)
      • Effect of material inelasticity (85)
      • Effect of clamp geometry (87)
    • Conclusion (92)
  • Isotropic Damage-induced Growth in Coronary Artery (98)
    • Introduction (98)
    • Modeling of finite growth (101)
      • Kinematics (101)
      • Mass balance equation (103)
      • Thermodynamic consistency (105)
      • Specific form of the free-energy function (107)
      • Micromechanically motivated evolution for the mass (108)
      • Specific form for the growth tensor and its evolution (111)
    • Finite element implementation (114)
      • Stress tensor (115)
      • Elasticity tensor (116)
      • Solution algorithm (118)
      • Verification (119)
    • Parameter study of the growth model (119)
    • Finite element simulation of restenosis after angioplasty (121)
    • Conclusion (124)
  • Anisotropic Damage-induced Growth in Coronary Artery (126)
    • Introduction (126)
    • Modeling of finite growth (126)
    • Specific form of growth tensor and its evolution (127)
    • Finite element implementation (129)
      • Stress tensor (129)
      • Elasticity tensor (131)
      • Solution algorithm (132)
    • A semi–analytical solution for anisotropic damage–induced growth of an artery wall (132)
      • Residual stress and physiological state (134)
      • Damage due to the increased inner pressure (138)
      • Damage–induced growth of the artery (138)
      • Results (141)
    • Conclusion (143)
  • Summary and Conclusions (144)
    • Summary (144)
    • Conclusions (145)
    • Future research directions (148)
  • Publications (152)
  • Explicit forms of the stress and elasticity tensors in Chapter 3 (154)
  • Derivation of equation (4.24) (160)
  • Derivation of the elasticity tensor in equation (4.54) (164)
  • Explicit expressions for the elasticity tensors in Chapter 4 (166)
  • Bibliography (168)
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