Mathematical and computational methods and algorithms in biomechanics: human skeletal systems

ÍNDICE: PREFACE. ACKNOWLEDGMENTS. PART I ANATOMY, BIOMECHANICS, AND ALLOARTHROPLASTY OF HUMAN JOINTS. 1 BIOMECHANICS OF THE HUMAN SKELETON ANDTHE PROBLEMOF ALLOARTHROPLASTY. 1.1 Introduction to History of Biomechanics and Alloarthroplasty. 1.2 Biomechanics of Human Joints and Tissues. 2 INTRODUCTION TOTHE ANATOMY OF THE SKELETAL SYSTEM. 2.1 Anatomy of the Skeletal System. 2.2 Human Joints and Their Functions. 2.3 Tribology of Human Joints. 2.4 Biomechanics of the Skeletal System. 3 TOTAL REPLACEMENT OF HUMAN JOINTS. 3.1 View of Arthroplasty Developments. 3.2 Static and Dynamic Loading of Human Joint Replacements.3.3 Mechanical Destruction of Implants and Demands on Human Joint Arthroplasty. 3.4 Biomaterials in Ostheosynthesis and Alloarthroplasty. 3.5 Artificial Joint Replacements. PART II MATHEMATICAL MODELS OF BIOMECHANICS. 4 BACKGROUND OFBIOMECHANICS. 4.1 Introduction. 4.2 Fundamentals of Continuum Mechanics. 4.3 Background of the Static and Dynamic Continuum Mechanics in Different Rheologies. 4.4 Background of the Quasi-Static and Dynamic Continuum Mechanics in Thermo(visco)elastic Rheology. 5 MATHEMATICAL MODELS OF PARTICULAR PARTS OF THE HUMAN SKELETON AND JOINTS ANDTHEIR REPLACEMENTS BASED ON BOUNDARY VALUE PROBLEM ANALYSES. 5.1 Introduction. 5.2 Mathematical Models of Human Joints and of Their Total Replacements asWell as of Parts of the Human Body. 5.3 Mathematical Models of Human Body Parts and Human Joints and Their Total Replacements Based on the Boundary Value Problems in (Thermo)elasticity. 5.4 Biomechanical Model of a Long Bone. 5.5 Mathematical Model of a Loaded Long Bone Based on Composite Biomaterials. 5.6 Stochastic Approach. 5.7 Mathematical Model of Heat Generation and Heat Propagation in the Neighborhood of the Bone Cement. Problems of Bone Necrosis. 6 MATHEMATICAL ANALYSES AND NUMERICAL SOLUTIONS OF FUNDAMENTAL BIOMECHANICAL PROBLEMS. 6.1 Background of Functional Analysis, Function Spaces, and Variational Inequalities. 6.2 Variational Equations and Inequalities andTheir Numerical Approximations. 6.3 Biomechanical Models of Human Joints and Their Total Replacements. 6.4 StressStrain Analysis of Total Human Joint Replacements in Linear, Nonlinear, Elasticity, and Thermoelasticity: Static Cases, Finite Element Approximations, Homogenization and Domain Decomposition Methods, and Algorithms. 6.5 StressStrain Analyses of Human Joints and Their Replacements Based on Quasi-Static and Dynamic Multibody Contact Problems in Viscoelastic Rheologies. 6.6 Algorithms. 6.7 Viscoplastic Model of Total Human Joint Replacements. 6.8 Optimal Shape Design in Biomechanics of Human Joint Replacements. 6.9 Worst-Scenario Method in Biomechanics of Human Joint Replacements. 6.10 Biomechanical Models of Human Joint Replacements Coupling Bi- and UnilateralContacts, Friction, Adhesion, and Wear. PART III BIOMECHANICAL ANALYSES OF PARTICULAR PARTS OF THE HUMAN SKELETON, JO

• ISBN: 978-0-470-40824-7
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 592
• Fecha Publicación: 08/07/2011
• Nº Volúmenes: 1
• Idioma: Inglés