Computer techniques and computational methods in biomechanics.v. 1.

Cover -- Contents -- Preface -- Acknowledgments -- Part I: Anatomy, Biomechanics, and Alloarthroplasty of Human Joints -- 1: Biomechanics of the Human Skeleton and the Problem of Alloarthroplasty -- 1.1: Introduction to History of Biomechanics and Alloarthroplasty -- 1.2: Biomechanics of Human Joints and Tissues -- 2: Introduction to the 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 of Biomechanics -- 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 and their replacements Based On Boundary Value Problem Analyses -- 5.1: Introduction -- 5.2: Mathematical Models of Human Joints and of Their Total Replacements as Well 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 Propagationin 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 and Their Numerical Approximations -- 6.3: Biomechanical Models of Human Joints and Their Total Replacements -- 6.4: Stress-Strain Analysis of Total Human Joint Replacements in Linear, Nonlinear, Elasticity, and Thermoelasticity -- 6.5: Stress-Strain 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 Unilateral Contacts, Friction, Adhesion, and Wear -- Part III: Biomechanical Analyses of Particular Parts of the Human Skeleton, Joints, and Their Replacements -- 7: Biomechanical Models Based On Contact Problems and Biomechanical Analyses of Some Human Joints, Their Total Replacements, and Some Other Parts of the Human Skeleton -- 7.1: Introduction to the Biomechanics of Statically Loaded and of Moving Loaded Human Body -- 7.2: Bone Remodeling and the Corresponding Mathematical Model -- 7.3: Biomechanical Studies of Cysts, Osteophytes, and of Inter-and Subtrochanteric Osteotomy of the Femur and the Knee Joint -- 7.4: Biomechanical Analysis of the Loosened Total Hip Arthroplasty (THA) -- 7.5: Biomechanical Analysis of the Hip Joint after THA Implanting a.