{"product_id":"multiscale-simulations-and-mechanics-of-biological-materials-9781118350799","title":"Multiscale Simulations and Mechanics of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis text offers a unique interdisciplinary approach to multiscale biomaterial modeling aimed at both accessible introductory and advanced levels. It presents a breadth of computational approaches for modeling biological materials across multiple length scales (molecular to whole-tissue scale), including solid and fluid based approaches.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAbout the Editors xv\u003c\/p\u003e \u003cp\u003eList of Contributors xvii\u003c\/p\u003e \u003cp\u003ePreface xxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I MULTISCALE SIMULATION THEORY\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Atomistic-to-Continuum Coupling Methods for Heat Transfer in Solids 3\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eGregory J. Wagner\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 3\u003c\/p\u003e \u003cp\u003e1.2 The Coupled Temperature Field 5\u003c\/p\u003e \u003cp\u003e1.2.1 Spatial Reduction 5\u003c\/p\u003e \u003cp\u003e1.2.2 Time Averaging 6\u003c\/p\u003e \u003cp\u003e1.3 Coupling the MD and Continuum Energy 7\u003c\/p\u003e \u003cp\u003e1.3.1 The Coupled System 7\u003c\/p\u003e \u003cp\u003e1.3.2 Continuum Heat Transfer 8\u003c\/p\u003e \u003cp\u003e1.3.3 Augmented MD 8\u003c\/p\u003e \u003cp\u003e1.4 Examples 9\u003c\/p\u003e \u003cp\u003e1.4.1 One-Dimensional Heat Conduction 9\u003c\/p\u003e \u003cp\u003e1.4.2 Thermal Response of a Composite System 10\u003c\/p\u003e \u003cp\u003e1.5 Coupled Phonon-Electron Heat Transport 12\u003c\/p\u003e \u003cp\u003e1.6 Examples: Phonon–Electron Coupling 14\u003c\/p\u003e \u003cp\u003e1.6.1 Equilibration of Electron\/Phonon Energies 14\u003c\/p\u003e \u003cp\u003e1.6.2 Laser Heating of a Carbon Nanotube 15\u003c\/p\u003e \u003cp\u003e1.7 Discussion 17\u003c\/p\u003e \u003cp\u003eAcknowledgments 18\u003c\/p\u003e \u003cp\u003eReferences 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Accurate Boundary Treatments for Concurrent Multiscale Simulations 21\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eShaoqiang Tang\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 21\u003c\/p\u003e \u003cp\u003e2.2 Time History Kernel Treatment 22\u003c\/p\u003e \u003cp\u003e2.2.1 Harmonic Chain 22\u003c\/p\u003e \u003cp\u003e2.2.2 Square Lattice 23\u003c\/p\u003e \u003cp\u003e2.3 Velocity Interfacial Conditions: Matching the Differential Operator 27\u003c\/p\u003e \u003cp\u003e2.4 MBCs: Matching the Dispersion Relation 30\u003c\/p\u003e \u003cp\u003e2.4.1 Harmonic Chain 30\u003c\/p\u003e \u003cp\u003e2.4.2 FCC Lattice 33\u003c\/p\u003e \u003cp\u003e2.5 Accurate Boundary Conditions: Matching the Time History Kernel Function 36\u003c\/p\u003e \u003cp\u003e2.6 Two-Way Boundary Conditions 39\u003c\/p\u003e \u003cp\u003e2.7 Conclusions 41\u003c\/p\u003e \u003cp\u003eAcknowledgments 41\u003c\/p\u003e \u003cp\u003eReferences 41\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 A Multiscale Crystal Defect Dynamics and Its Applications 43\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eLisheng Liu and Shaofan Li\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 43\u003c\/p\u003e \u003cp\u003e3.2 Multiscale Crystal Defect Dynamics 44\u003c\/p\u003e \u003cp\u003e3.3 How and Why the MCDD Model Works 47\u003c\/p\u003e \u003cp\u003e3.4 Multiscale Finite Element Discretization 47\u003c\/p\u003e \u003cp\u003e3.5 Numerical Examples 52\u003c\/p\u003e \u003cp\u003e3.6 Discussion 54\u003c\/p\u003e \u003cp\u003eAcknowledgments 54\u003c\/p\u003e \u003cp\u003eAppendix 55\u003c\/p\u003e \u003cp\u003eReferences 57\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Application of Many-Realization Molecular Dynamics Method to Understand the Physics of Nonequilibrium Processes in Solids 59\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eYao Fu and Albert C. To\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.1 Chapter Overview and Background 59\u003c\/p\u003e \u003cp\u003e4.2 Many-Realization Method 60\u003c\/p\u003e \u003cp\u003e4.3 Application of the Many-Realization Method to Shock Analysis 62\u003c\/p\u003e \u003cp\u003e4.4 Conclusions 72\u003c\/p\u003e \u003cp\u003eAcknowledgments 74\u003c\/p\u003e \u003cp\u003eReferences 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Multiscale, Multiphysics Modeling of Electromechanical Coupling in Surface-Dominated Nanostructures 77\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eHarold S. Park and Michel Devel\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 77\u003c\/p\u003e \u003cp\u003e5.2 Atomistic Electromechanical Potential Energy 79\u003c\/p\u003e \u003cp\u003e5.2.1 Atomistic Electrostatic Potential Energy: Gaussian Dipole Method 80\u003c\/p\u003e \u003cp\u003e5.2.2 Finite Element Equilibrium Equations from Total Electromechanical Potential Energy 83\u003c\/p\u003e \u003cp\u003e5.3 Bulk Electrostatic Piola–Kirchoff Stress 84\u003c\/p\u003e \u003cp\u003e5.3.1 Cauchy–Born Kinematics 84\u003c\/p\u003e \u003cp\u003e5.3.2 Comparison of Bulk Electrostatic Stress with Molecular Dynamics Electrostatic Force 86\u003c\/p\u003e \u003cp\u003e5.4 Surface Electrostatic Stress 87\u003c\/p\u003e \u003cp\u003e5.5 One-Dimensional Numerical Examples 89\u003c\/p\u003e \u003cp\u003e5.5.1 Verification of Bulk Electrostatic Stress 89\u003c\/p\u003e \u003cp\u003e5.5.2 Verification of Surface Electrostatic Stress 91\u003c\/p\u003e \u003cp\u003e5.6 Conclusions and Future Research 94\u003c\/p\u003e \u003cp\u003eAcknowledgments 95\u003c\/p\u003e \u003cp\u003eReferences 95\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Towards a General Purpose Design System for Composites 99\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eJacob Fish\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e6.1 Motivation 99\u003c\/p\u003e \u003cp\u003e6.2 General Purpose Multiscale Formulation 103\u003c\/p\u003e \u003cp\u003e6.2.1 The Basic Reduced-Order Model 103\u003c\/p\u003e \u003cp\u003e6.2.2 Enhanced Reduced-Order Model 104\u003c\/p\u003e \u003cp\u003e6.3 Mechanistic Modeling of Fatigue via Multiple Temporal Scales 106\u003c\/p\u003e \u003cp\u003e6.4 Coupling of Mechanical and Environmental Degradation Processes 107\u003c\/p\u003e \u003cp\u003e6.4.1 Mathematical Model 107\u003c\/p\u003e \u003cp\u003e6.4.2 Mathematical Upscaling 109\u003c\/p\u003e \u003cp\u003e6.4.3 Computational Upscaling 110\u003c\/p\u003e \u003cp\u003e6.5 Uncertainty Quantification of Nonlinear Model of Micro-Interfaces and Micro-Phases 111\u003c\/p\u003e \u003cp\u003eReferences 113\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II PATIENT-SPECIFIC FLUID-STRUCTURE INTERACTION MODELING, SIMULATION AND DIAGNOSIS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Patient-Specific Computational Fluid Mechanics of Cerebral Arteries with Aneurysm and Stent 119\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eKenji Takizawa, Kathleen Schjodt, Anthony Puntel, Nikolay Kostov, and Tayfun E. Tezduyar\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 119\u003c\/p\u003e \u003cp\u003e7.2 Mesh Generation 120\u003c\/p\u003e \u003cp\u003e7.3 Computational Results 124\u003c\/p\u003e \u003cp\u003e7.3.1 Computational Models 124\u003c\/p\u003e \u003cp\u003e7.3.2 Comparative Study 131\u003c\/p\u003e \u003cp\u003e7.3.3 Evaluation of Zero-Thickness Representation 142\u003c\/p\u003e \u003cp\u003e7.4 Concluding Remarks 145\u003c\/p\u003e \u003cp\u003eAcknowledgments 146\u003c\/p\u003e \u003cp\u003eReferences 146\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Application of Isogeometric Analysis to Simulate Local Nanoparticulate Drug Delivery in Patient-Specific Coronary Arteries 149\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eShaolie S. Hossain and Yongjie Zhang\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 149\u003c\/p\u003e \u003cp\u003e8.2 Materials and Methods 151\u003c\/p\u003e \u003cp\u003e8.2.1 Mathematical Modeling 151\u003c\/p\u003e \u003cp\u003e8.2.2 Parameter Selection 156\u003c\/p\u003e \u003cp\u003e8.2.3 Mesh Generation from Medical Imaging Data 158\u003c\/p\u003e \u003cp\u003e8.3 Results 159\u003c\/p\u003e \u003cp\u003e8.3.1 Extraction of NP Wall Deposition Data 159\u003c\/p\u003e \u003cp\u003e8.3.2 Drug Distribution in a Normal Artery Wall 160\u003c\/p\u003e \u003cp\u003e8.3.3 Drug Distribution in a Diseased Artery Wall with a Vulnerable Plaque 160\u003c\/p\u003e \u003cp\u003e8.4 Conclusions and Future Work 165\u003c\/p\u003e \u003cp\u003eAcknowledgments 166\u003c\/p\u003e \u003cp\u003eReferences 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Modeling and Rapid Simulation of High-Frequency Scattering Responses of Cellular Groups 169\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eTarek Ismail Zohdi\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 169\u003c\/p\u003e \u003cp\u003e9.2 Ray Theory: Scope of Use and General Remarks 171\u003c\/p\u003e \u003cp\u003e9.3 Ray Theory 173\u003c\/p\u003e \u003cp\u003e9.4 Plane Harmonic Electromagnetic Waves 177\u003c\/p\u003e \u003cp\u003e9.4.1 General Plane Waves 177\u003c\/p\u003e \u003cp\u003e9.4.2 Electromagnetic Waves 177\u003c\/p\u003e \u003cp\u003e9.4.3 Optical Energy Propagation 178\u003c\/p\u003e \u003cp\u003e9.4.4 Reflection and Absorption of Energy 179\u003c\/p\u003e \u003cp\u003e9.4.5 Computational Algorithm 183\u003c\/p\u003e \u003cp\u003e9.4.6 Thermal Conversion of Optical Losses 187\u003c\/p\u003e \u003cp\u003e9.5 Summary 190\u003c\/p\u003e \u003cp\u003eReferences 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Electrohydrodynamic Assembly of Nanoparticles for Nanoengineered Biosensors 193\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eJae-Hyun Chung, Hyun-Boo Lee, and Jong-Hoon Kim\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction for Nanoengineered Biosensors 193\u003c\/p\u003e \u003cp\u003e10.2 Electric-Field-Induced Phenomena 193\u003c\/p\u003e \u003cp\u003e10.2.1 Electrophoresis 194\u003c\/p\u003e \u003cp\u003e10.2.2 Dielectrophoresis 195\u003c\/p\u003e \u003cp\u003e10.2.3 Electroosmotic and Electrothermal Flow 198\u003c\/p\u003e \u003cp\u003e10.2.4 Brownian Motion Forces and Drag Forces 199\u003c\/p\u003e \u003cp\u003e10.3 Geometry Dependency of Dielectrophoresis 200\u003c\/p\u003e \u003cp\u003e10.4 Electric-Field-Guided Assembly of Flexible Molecules in Combination with other Mechanisms 203\u003c\/p\u003e \u003cp\u003e10.4.1 Dielectrophoresis in Combination with Fluid Flow 203\u003c\/p\u003e \u003cp\u003e10.4.2 Dielectrophoresis in Combination with Binding Affinity 203\u003c\/p\u003e \u003cp\u003e10.4.3 Dielectrophoresis in Combination with Capillary Action and Viscosity 203\u003c\/p\u003e \u003cp\u003e10.5 Selective Assembly of Nanoparticles 204\u003c\/p\u003e \u003cp\u003e10.5.1 Size-Selective Deposition of Nanoparticles 204\u003c\/p\u003e \u003cp\u003e10.5.2 Electric-Property Sorting of Nanoparticles 205\u003c\/p\u003e \u003cp\u003e10.6 Summary and Applications 205\u003c\/p\u003e \u003cp\u003eReferences 205\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Advancements in the Immersed Finite-Element Method and Bio-Medical Applications 207\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eLucy Zhang, Xingshi Wang, and Chu Wang\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 207\u003c\/p\u003e \u003cp\u003e11.2 Formulation 208\u003c\/p\u003e \u003cp\u003e11.2.1 The Immersed Finite Element Method 208\u003c\/p\u003e \u003cp\u003e11.2.2 Semi-Implicit Immersed Finite Element Method 210\u003c\/p\u003e \u003cp\u003e11.3 Bio-Medical Applications 211\u003c\/p\u003e \u003cp\u003e11.3.1 Red Blood Cell in Bifurcated Vessels 211\u003c\/p\u003e \u003cp\u003e11.3.2 Human Vocal Folds Vibration during Phonation 214\u003c\/p\u003e \u003cp\u003e11.4 Conclusions 217\u003c\/p\u003e \u003cp\u003eReferences 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Immersed Methods for Compressible Fluid–Solid Interactions 219\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eXiaodong Sheldon Wang\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e12.1 Background and Objectives 219\u003c\/p\u003e \u003cp\u003e12.2 Results and Challenges 222\u003c\/p\u003e \u003cp\u003e12.2.1 Formulations, Theories, and Results 222\u003c\/p\u003e \u003cp\u003e12.2.2 Stability Analysis 227\u003c\/p\u003e \u003cp\u003e12.2.3 Kernel Functions 228\u003c\/p\u003e \u003cp\u003e12.2.4 A Simple Model Problem 231\u003c\/p\u003e \u003cp\u003e12.2.5 Compressible Fluid Model for General Grids 231\u003c\/p\u003e \u003cp\u003e12.2.6 Multigrid Preconditioner 232\u003c\/p\u003e \u003cp\u003e12.3 Conclusion 234\u003c\/p\u003e \u003cp\u003eReferences 234\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III FROM CELLULAR STRUCTURE TO TISSUES AND ORGANS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 The Role of the Cortical Membrane in Cell Mechanics: Model and Simulation 241\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eLouis Foucard, Xavier Espinet, Eduard Benet, and Franck J. Vernerey\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 241\u003c\/p\u003e \u003cp\u003e13.2 The Physics of the Membrane–Cortex Complex and Its Interactions 243\u003c\/p\u003e \u003cp\u003e13.2.1 The Mechanics of the Membrane–Cortex Complex 243\u003c\/p\u003e \u003cp\u003e13.2.2 Interaction of the Membrane with the Outer Environment 247\u003c\/p\u003e \u003cp\u003e13.3 Formulation of the Membrane Mechanics and Fluid–Membrane Interaction 249\u003c\/p\u003e \u003cp\u003e13.3.1 Kinematics of Immersed Membrane 249\u003c\/p\u003e \u003cp\u003e13.3.2 Variational Formulation of the Immersed MCC Problem 251\u003c\/p\u003e \u003cp\u003e13.3.3 Principle of Virtual Power and Conservation of Momentum 253\u003c\/p\u003e \u003cp\u003e13.4 The Extended Finite Element and the Grid-Based Particle Methods 255\u003c\/p\u003e \u003cp\u003e13.5 Examples 257\u003c\/p\u003e \u003cp\u003e13.5.1 The Equilibrium Shapes of the Red Blood Cell 257\u003c\/p\u003e \u003cp\u003e13.5.2 Cell Endocytosis 259\u003c\/p\u003e \u003cp\u003e13.5.3 Cell Blebbing 260\u003c\/p\u003e \u003cp\u003e13.6 Conclusion 262\u003c\/p\u003e \u003cp\u003eAcknowledgments 263\u003c\/p\u003e \u003cp\u003eReferences 263\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Role of Elastin in Arterial Mechanics 267\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eYanhang Zhang and Shahrokh Zeinali-Davarani\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 267\u003c\/p\u003e \u003cp\u003e14.2 The Role of Elastin in Vascular Diseases 268\u003c\/p\u003e \u003cp\u003e14.3 Mechanical Behavior of Elastin 269\u003c\/p\u003e \u003cp\u003e14.3.1 Orthotropic Hyperelasticity in Arterial Elastin 269\u003c\/p\u003e \u003cp\u003e14.3.2 Viscoelastic Behavior 271\u003c\/p\u003e \u003cp\u003e14.4 Constitutive Modeling of Elastin 272\u003c\/p\u003e \u003cp\u003e14.5 Conclusions 276\u003c\/p\u003e \u003cp\u003eAcknowledgments 276\u003c\/p\u003e \u003cp\u003eReferences 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Characterization of Mechanical Properties of Biological Tissue: Application to the FEM Analysis of the Urinary Bladder 283\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eEugenio Oñate, Facundo J. Bellomo, Virginia Monteiro, Sergio Oller, and Liz G. Nallim\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction 283\u003c\/p\u003e \u003cp\u003e15.2 Inverse Approach for the Material Characterization of Biological Soft Tissues via a Generalized Rule of Mixtures 284\u003c\/p\u003e \u003cp\u003e15.2.1 Constitutive Model for Material Characterization 284\u003c\/p\u003e \u003cp\u003e15.2.2 Definition of the Objective Function and Materials Characterization Procedure 286\u003c\/p\u003e \u003cp\u003e15.2.3 Validation of the Inverse Model for Urinary Bladder Tissue Characterization 287\u003c\/p\u003e \u003cp\u003e15.3 FEM Analysis of the Urinary Bladder 289\u003c\/p\u003e \u003cp\u003e15.3.1 Constitutive Model for Tissue Analysis 290\u003c\/p\u003e \u003cp\u003e15.3.2 Validation. Test Inflation of a Quasi-incompressible Rubber Sphere 292\u003c\/p\u003e \u003cp\u003e15.3.3 Mechanical Simulation of Human Urinary Bladder 293\u003c\/p\u003e \u003cp\u003e15.3.4 Study of Urine–Bladder Interaction 295\u003c\/p\u003e \u003cp\u003e15.4 Conclusions 298\u003c\/p\u003e \u003cp\u003eAcknowledgments 298\u003c\/p\u003e \u003cp\u003eReferences 298\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Structure Design of Vascular Stents 301\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eYaling Liu, Jie Yang, Yihua Zhou, and Jia Hu\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 301\u003c\/p\u003e \u003cp\u003e16.2 Ideal Vascular Stents 303\u003c\/p\u003e \u003cp\u003e16.3 Design Parameters that Affect the Properties of Stents 304\u003c\/p\u003e \u003cp\u003e16.3.1 Expansion Method 305\u003c\/p\u003e \u003cp\u003e16.3.2 Stent Materials 305\u003c\/p\u003e \u003cp\u003e16.3.3 Structure of Stents 306\u003c\/p\u003e \u003cp\u003e16.3.4 Effect of Design Parameters on Stent Properties 308\u003c\/p\u003e \u003cp\u003e16.4 Main Methods for Vascular Stent Design 308\u003c\/p\u003e \u003cp\u003e16.5 Vascular Stent Design Method Perspective 316\u003c\/p\u003e \u003cp\u003eReferences 316\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Applications of Meshfree Methods in Explicit Fracture and Medical Modeling 319\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eDaniel C. Simkins, Jr.\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction 319\u003c\/p\u003e \u003cp\u003e17.2 Explicit Crack Representation 319\u003c\/p\u003e \u003cp\u003e17.2.1 Two-Dimensional Cracks 320\u003c\/p\u003e \u003cp\u003e17.2.2 Three-Dimensional Cracks in Thin Shells 323\u003c\/p\u003e \u003cp\u003e17.2.3 Material Model Requirements 323\u003c\/p\u003e \u003cp\u003e17.2.4 Crack Examples 323\u003c\/p\u003e \u003cp\u003e17.3 Meshfree Modeling in Medicine 327\u003c\/p\u003e \u003cp\u003eAcknowledgments 331\u003c\/p\u003e \u003cp\u003eReferences 331\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Design of Dynamic and Fatigue-Strength-Enhanced Orthopedic Implants 333\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eSagar Bhamare, Seetha Ramaiah Mannava, Leonora Felon, David Kirschman, Vijay Vasudevan, and Dong Qian\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e18.1 Introduction 333\u003c\/p\u003e \u003cp\u003e18.2 Fatigue Life Analysis of Orthopedic Implants 335\u003c\/p\u003e \u003cp\u003e18.2.1 Fatigue Life Testing for Implants 335\u003c\/p\u003e \u003cp\u003e18.2.2 Fatigue Life Prediction 337\u003c\/p\u003e \u003cp\u003e18.3 LSP Process 338\u003c\/p\u003e \u003cp\u003e18.4 LSP Modeling and Simulation 339\u003c\/p\u003e \u003cp\u003e18.4.1 Pressure Pulse Model 339\u003c\/p\u003e \u003cp\u003e18.4.2 Constitutive Model 340\u003c\/p\u003e \u003cp\u003e18.4.3 Solution Procedure 341\u003c\/p\u003e \u003cp\u003e18.5 Application Example 342\u003c\/p\u003e \u003cp\u003e18.5.1 Implant Rod Design 342\u003c\/p\u003e \u003cp\u003e18.5.2 Residual Stresses 342\u003c\/p\u003e \u003cp\u003e18.5.3 Fatigue Tests and Life Predictions 344\u003c\/p\u003e \u003cp\u003e18.6 Summary 348\u003c\/p\u003e \u003cp\u003eAcknowledgments 348\u003c\/p\u003e \u003cp\u003eReferences 349\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV BIO-MECHANICS AND MATERIALS OF BONES AND COLLAGENS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Archetype Blending Continuum Theory and Compact Bone Mechanics 353\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eKhalil I. Elkhodary, Michael Steven Greene, and Devin O’Connor\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction 353\u003c\/p\u003e \u003cp\u003e19.1.1 A Short Look at the Hierarchical Structure of Bone 354\u003c\/p\u003e \u003cp\u003e19.1.2 A Background of Generalized Continuum Mechanics 355\u003c\/p\u003e \u003cp\u003e19.1.3 Notes on the Archetype Blending Continuum Theory 356\u003c\/p\u003e \u003cp\u003e19.2 ABC Formulation 358\u003c\/p\u003e \u003cp\u003e19.2.1 Physical Postulates and the Resulting Kinematics 358\u003c\/p\u003e \u003cp\u003e19.2.2 ABC Variational Formulation 359\u003c\/p\u003e \u003cp\u003e19.3 Constitutive Modeling in ABC 361\u003c\/p\u003e \u003cp\u003e19.3.1 General Concept 361\u003c\/p\u003e \u003cp\u003e19.3.2 Blending Laws for Cortical Bone Modeling 363\u003c\/p\u003e \u003cp\u003e19.4 The ABC Computational Model 367\u003c\/p\u003e \u003cp\u003e19.5 Results and Discussion 368\u003c\/p\u003e \u003cp\u003e19.5.1 Propagating Strain Inhomogeneities across Osteons 368\u003c\/p\u003e \u003cp\u003e19.5.2 Normal and Shear Stresses in Osteons 369\u003c\/p\u003e \u003cp\u003e19.5.3 Rotation and Displacement Fields in Osteons 370\u003c\/p\u003e \u003cp\u003e19.5.4 Damping in Cement Lines 372\u003c\/p\u003e \u003cp\u003e19.5.5 Qualitative Look at Strain Gradients in Osteons 372\u003c\/p\u003e \u003cp\u003e19.6 Conclusion 373\u003c\/p\u003e \u003cp\u003eAcknowledgments 374\u003c\/p\u003e \u003cp\u003eReferences 374\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Image-Based Multiscale Modeling of Porous Bone Materials 377\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eJudy P. Yang, Sheng-Wei Chi, and Jiun-Shyan Chen\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e20.1 Overview 377\u003c\/p\u003e \u003cp\u003e20.2 Homogenization of Porous Microstructures 379\u003c\/p\u003e \u003cp\u003e20.2.1 Basic Equations of Two-Phase Media 379\u003c\/p\u003e \u003cp\u003e20.2.2 Asymptotic Expansion of Two-Phase Medium 381\u003c\/p\u003e \u003cp\u003e20.2.3 Homogenized Porous Media 386\u003c\/p\u003e \u003cp\u003e20.3 Level Set Method for Image Segmentation 387\u003c\/p\u003e \u003cp\u003e20.3.1 Variational Level Set Formulation 387\u003c\/p\u003e \u003cp\u003e20.3.2 Strong Form Collocation Methods for Active Contour Model 389\u003c\/p\u003e \u003cp\u003e20.4 Image-Based Microscopic Cell Modeling 391\u003c\/p\u003e \u003cp\u003e20.4.1 Solution of Microscopic Cell Problems 391\u003c\/p\u003e \u003cp\u003e20.4.2 Reproducing Kernel and Gradient-Reproducing Kernel Approximations 392\u003c\/p\u003e \u003cp\u003e20.4.3 Gradient-Reproducing Kernel Collocation Method 393\u003c\/p\u003e \u003cp\u003e20.5 Trabecular Bone Modeling 395\u003c\/p\u003e \u003cp\u003e20.6 Conclusions 399\u003c\/p\u003e \u003cp\u003eAcknowledgment 399\u003c\/p\u003e \u003cp\u003eReferences 399\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Modeling Nonlinear Plasticity of Bone Mineral from Nanoindentation Data 403\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eAmir Reza Zamiri and Suvranu De\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e21.1 Introduction 403\u003c\/p\u003e \u003cp\u003e21.2 Methods 404\u003c\/p\u003e \u003cp\u003e21.3 Results 407\u003c\/p\u003e \u003cp\u003e21.4 Conclusions 408\u003c\/p\u003e \u003cp\u003eAcknowledgments 408\u003c\/p\u003e \u003cp\u003eReferences 408\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 Mechanics of Cellular Materials and its Applications 411\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eJi Hoon Kim, Daeyong Kim, and Myoung-Gyu Lee\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e22.1 Biological Cellular Materials 411\u003c\/p\u003e \u003cp\u003e22.1.1 Structure of Bone 411\u003c\/p\u003e \u003cp\u003e22.1.2 Mechanical Properties of Bone 411\u003c\/p\u003e \u003cp\u003e22.1.3 Failure of Bone 415\u003c\/p\u003e \u003cp\u003e22.1.4 Simulation of Bone 417\u003c\/p\u003e \u003cp\u003e22.2 Engineered Cellular Materials 421\u003c\/p\u003e \u003cp\u003e22.2.1 Constitutive Models for Metal Foams 422\u003c\/p\u003e \u003cp\u003e22.2.2 Structure Modeling of Cellular Materials 424\u003c\/p\u003e \u003cp\u003e22.2.3 Simulation of Cellular Materials 428\u003c\/p\u003e \u003cp\u003eReferences 431\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Biomechanics of Mineralized Collagens 435\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eAshfaq Adnan, Farzad Sarker, and Sheikh F. Ferdous\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e23.1 Introduction 435\u003c\/p\u003e \u003cp\u003e23.1.1 Mineralized Collagen 435\u003c\/p\u003e \u003cp\u003e23.1.2 Molecular Origin and Structure of Mineralized Collagen 436\u003c\/p\u003e \u003cp\u003e23.1.3 Bone Remodeling, Bone Marrow Microenvironment, and Biomechanics of Mineralized Collagen 438\u003c\/p\u003e \u003cp\u003e23.2 Computational Method 438\u003c\/p\u003e \u003cp\u003e23.2.1 Molecular Structure of Mineralized Collagen 438\u003c\/p\u003e \u003cp\u003e23.2.2 The Constant-pH Molecular Dynamics Simulation 441\u003c\/p\u003e \u003cp\u003e23.3 Results 441\u003c\/p\u003e \u003cp\u003e23.3.1 First-Order Estimation of pH-Dependent TC–HAP Interaction Possibility 441\u003c\/p\u003e \u003cp\u003e23.3.2 pH-Dependent TC–HAP Interface Interactions 443\u003c\/p\u003e \u003cp\u003e23.4 Summary and Conclusions 446\u003c\/p\u003e \u003cp\u003eAcknowledgments 446\u003c\/p\u003e \u003cp\u003eReferences 446\u003c\/p\u003e \u003cp\u003eIndex 449\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528826233175,"sku":"9781118350799","price":113.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118350799.jpg?v=1731873170","url":"https:\/\/bookcurl.com\/products\/multiscale-simulations-and-mechanics-of-biological-materials-9781118350799","provider":"Book Curl","version":"1.0","type":"link"}