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Preface; Contents; RVE Procedure for Estimating the Elastic Properties of Inhomogeneous Microstructures Such as Bone Tissue; 1 Introduction; 2 Material and Method; 2.1 Generation of Stochastic RVE; 2.2 Continuum Mechanics Approach; 2.3 Homogenization Approach; 2.4 Window Size and Boundary Conditions; 2.5 Homogenized Anisotropy; 2.6 Effective Isotropy; 3 Results; 3.1 Monte-Carlo Simulation; 3.2 RVE Size and Boundary Conditions; 3.3 Analysis of Stochastic Microstructures; 4 Discussion; References
A Gradient-Enhanced Continuum Damage Model for Residually Stressed Fibre-Reinforced Materials at Finite Strains1 Introduction; 2 Gradient Enhancement of a Continuum Damage Formulation; 2.1 Basic Kinematics; 2.2 General Gradient-Enhanced Format of the Free Energy; 2.3 Total Potential Energy; 2.4 Variational Form; 3 Constitutive Relations; 3.1 Hyperelastic Part of the Free Energy; 3.2 Gradient-Enhanced Part of the Free Energy; 3.3 Gradient-Enhanced Damage Model; 4 Finite Element Discretisation; 4.1 Discretisation; 4.2 Linearisation; 5 Residual Stresses; 6 Numerical Examples
6.1 Reproduction of the Opening Angle Experiment6.2 Inflation of the Perturbed Tube; 7 Summary; References; A Mechanically Stimulated Fracture Healing Model Using a Finite Element Framework; 1 Introduction; 2 Mathematical Fracture Healing Model; 2.1 Mechanical Stimulation; 3 Methods; 3.1 Simulation; 4 Results; 4.1 Parameter Study; 5 Discussion; References; The Customized Artificial Hip Cup: Design and Manufacturing of an Innovative Prosthesis; 1 Introduction; 2 Bone Remodelling; 3 Manufacturing Concept; 3.1 Comparative Simulations; 3.2 High Pressure Sheet Metal Forming
4 Derivation of the Universal Prosthesis Geometry4.1 General Design Chain; 4.2 Preliminary Investigation; 4.3 Agglomerative Clustering; 5 Outlook; References; On the Role of Phase Change in Modelling Drug-Eluting Stents; 1 Introduction; 2 A Two-Layer Model for Drug Elution; 2.1 The Two-Phase Coating Model; 2.2 The Two-Phase Wall Model; 2.3 Physiological Parameters; 2.4 Numerical Simulation; 3 Results and Discussion; References; Development of Magnesium Alloy Scaffolds to Support Biological Myocardial Grafts: A Finite Element Investigation; 1 Introduction
2 Simulation of Flat and Preformed Scaffolds2.1 Finite Element Modeling; 2.2 Modeling Results; 3 Developing of New Scaffold Shapes; 3.1 Improving Scaffold Shapes and Introducing New Designs; 3.2 Results for Shape Improvements and New Designs; 4 Summary and Discussion; 5 Conclusion; References; Finite Element Analysis of Transcatheter Aortic Valve Implantation in the Presence of Aortic Leaflet Calcifications; 1 Introduction; 2 Methods; 2.1 Aortic Root Models Definition and Dynamics; 2.2 TAV Simulations; 3 Results; 3.1 Dynamics of the Aortic Root Models; 3.2 TAV Simulations; 4 Discussion
A Gradient-Enhanced Continuum Damage Model for Residually Stressed Fibre-Reinforced Materials at Finite Strains1 Introduction; 2 Gradient Enhancement of a Continuum Damage Formulation; 2.1 Basic Kinematics; 2.2 General Gradient-Enhanced Format of the Free Energy; 2.3 Total Potential Energy; 2.4 Variational Form; 3 Constitutive Relations; 3.1 Hyperelastic Part of the Free Energy; 3.2 Gradient-Enhanced Part of the Free Energy; 3.3 Gradient-Enhanced Damage Model; 4 Finite Element Discretisation; 4.1 Discretisation; 4.2 Linearisation; 5 Residual Stresses; 6 Numerical Examples
6.1 Reproduction of the Opening Angle Experiment6.2 Inflation of the Perturbed Tube; 7 Summary; References; A Mechanically Stimulated Fracture Healing Model Using a Finite Element Framework; 1 Introduction; 2 Mathematical Fracture Healing Model; 2.1 Mechanical Stimulation; 3 Methods; 3.1 Simulation; 4 Results; 4.1 Parameter Study; 5 Discussion; References; The Customized Artificial Hip Cup: Design and Manufacturing of an Innovative Prosthesis; 1 Introduction; 2 Bone Remodelling; 3 Manufacturing Concept; 3.1 Comparative Simulations; 3.2 High Pressure Sheet Metal Forming
4 Derivation of the Universal Prosthesis Geometry4.1 General Design Chain; 4.2 Preliminary Investigation; 4.3 Agglomerative Clustering; 5 Outlook; References; On the Role of Phase Change in Modelling Drug-Eluting Stents; 1 Introduction; 2 A Two-Layer Model for Drug Elution; 2.1 The Two-Phase Coating Model; 2.2 The Two-Phase Wall Model; 2.3 Physiological Parameters; 2.4 Numerical Simulation; 3 Results and Discussion; References; Development of Magnesium Alloy Scaffolds to Support Biological Myocardial Grafts: A Finite Element Investigation; 1 Introduction
2 Simulation of Flat and Preformed Scaffolds2.1 Finite Element Modeling; 2.2 Modeling Results; 3 Developing of New Scaffold Shapes; 3.1 Improving Scaffold Shapes and Introducing New Designs; 3.2 Results for Shape Improvements and New Designs; 4 Summary and Discussion; 5 Conclusion; References; Finite Element Analysis of Transcatheter Aortic Valve Implantation in the Presence of Aortic Leaflet Calcifications; 1 Introduction; 2 Methods; 2.1 Aortic Root Models Definition and Dynamics; 2.2 TAV Simulations; 3 Results; 3.1 Dynamics of the Aortic Root Models; 3.2 TAV Simulations; 4 Discussion