• 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)