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This book contains the edited version of invited lectures presented at the IUTAM-Sym- sium Synthesis in Bio Solid Mechanics, held at Hotel Frederiksdal, Virum (Copenhagen), Denmark, May 24 to May 27, 1998. The symposium was attended by 48 scientist from 14 countries. Biomechanics has been a very active research area in the last 25 years and covers a very broad class of problems. The present symposium concentrated on the solid mechanics - main of biomechanics, where important problems of synthesis presently are an active and challenging part. Characteristics of biomechanical materials are not only the inhomogeneity and anisotropy, but also the capability to change in relation to actual use. These living materials call for new methods of analysis and also new methods for synthesis. By the synthesis in this context is meant design of implants or artificial control of material growth. Bone mechanics is closely related to recent work on analysis and design of microstructural anisotropic materials. Also, recent work in shape design can to some extent be useful in the more complicated problems of biomechanics. Here interface problems play an essential role. The symposium brought together scientists from mechanics, mathematics and medicine.




This book contains the edited version of invited lectures presented at the IUTAM Symposium on Synthesis in Bio Solid Mechanics held in Copenhagen, Denmark, 24-27 May, 1998. The Symposium was attended by 48 scientists in mechanics, mathematics and medicine from 14 countries. The fields of interest range over experimental issues, models of bone remodelling, micromechanics of bone, analogies between optimal design models and bone remodelling, to mathematical issues of the various models seen in this exciting area.
Biomechanics has been a very active research area in the last 25 years and covers a very broad class of problems. The present book concentrates on the solid mechanics domain of biomechanics, where important problems of synthesis are presently an active and challenging part.
Characteristics of biomechanical materials are not only their inhomogeneity and anisotropy, but also their capability to change in relation to actual use. These living materials call for new methods of analysis and also new methods for synthesis. By synthesis in this context is meant design of implants or artificial control of material growth.
Bone mechanics is closely related to recent work on analysis and design of microstructural anistropic materials. Also, recent work in shape design can to some extent be useful in the more complicated problems of biomechanics. Here interface problems play an essential role. This volume will be of interest to researchers in the field of (bio)mechanics and (bio)materials.


This book contains the edited version of invited lectures presented at the IUTAM Symposium on Synthesis in Bio Solid Mechanics held in Copenhagen, Denmark, 24-27 May, 1998. The Symposium was attended by 48 scientists in mechanics, mathematics and medicine from 14 countries. The fields of interest range over experimental issues, models of bone remodelling, micromechanics of bone, analogies between optimal design models and bone remodelling, to mathematical issues of the various models seen in this exciting area.
Biomechanics has been a very active research area in the last 25 years and covers a very broad class of problems. The present book concentrates on the solid mechanics domain of biomechanics, where important problems of synthesis are presently an active and challenging part.
Characteristics of biomechanical materials are not only their inhomogeneity and anisotropy, but also their capability to change in relation to actual use. These living materials call for new methods of analysis and also new methods for synthesis. By synthesis in this context is meant design of implants or artificial control of material growth.
Bone mechanics is closely related to recent work on analysis and design of microstructural anistropic materials. Also, recent work in shape design can to some extent be useful in the more complicated problems of biomechanics. Here interface problems play an essential role. This volume will be of interest to researchers in the field of (bio)mechanics and (bio)materials.
Content:
Front Matter....Pages i-x
Functional Adaptation in Bone....Pages 1-10
Mechanical and Hormonal Mechanisms Influencing Skeletal Form....Pages 11-20
Self-Organization of Topological Structures by a Cellular Automaton....Pages 21-32
Architectural 3-D Parameters and Anisotropic Elastic Properties of Cancellous Bone....Pages 33-42
Lattice Continuum Model for Bone Remodeling Considering Microstructural Optimality of Trabecular Architecture....Pages 43-54
Anchorage of Orthopaedic Prostheses....Pages 55-66
Design of Materials Subject to Bio-Mechanical Compatibility Constraints....Pages 67-78
Joint Load Identification During Cyclic Movements....Pages 79-92
Why aren’t Skeletal Tissues Perfect?....Pages 93-102
Dynamics of Joint Morphogenesis....Pages 103-114
Optimal Modification and Evolution of Elastic Continuum Structures....Pages 115-128
Effect of Time Dependence on the Mechanical Behavior of Compact Bone Tissue....Pages 129-138
Anisotropic Residual Stress Measurements in Compact Bone Using Polychromatic X-Ray Diffraction....Pages 139-150
A 3-D Finite Element Model of the Rat Tibialis Anterior Muscle....Pages 151-162
Image Based Design and Manufacture of Scaffolds for Bone Reconstruction....Pages 163-174
Fatigue Damage in Bone: Links to Adaptation....Pages 175-186
Fracture Gap Movement as a Function of Musculo-Skeletal Loading Conditions During Gait....Pages 187-198
Experimental Micromechanics and Viscoelasticity of Biological and Bioprotective Materials....Pages 199-208
Global and Local Material Optimization Models Applied to Anisotropic Bone Adaptation....Pages 209-220
On the Optimality of Bone Microstructure....Pages 221-234
An Existence Result in Bone Remodelling....Pages 235-246
Structural Optimization and Biological “Designs”....Pages 247-264
On Simple Model of Self-Adapting Bone Material....Pages 265-276
Computer Simulations of Refractive Surgery and Accommodation Mechanisms....Pages 277-284
Optimization of Left Ventricular Muscle Fiber Orientation....Pages 285-296
Optimization of Material Symmetry....Pages 297-308
Surface Remodeling Simulation of Trabecular Bone Using Microstructural Finite Element Models....Pages 309-320
Tissue Adaptation as a Discrete-Dynamical Process in Time and Space....Pages 321-332
Time Simulation of Bone Adaptation....Pages 333-348
Can the Mechanical Trabecular Bone Quality be Estimated Reliably from Mean Intercept Length or Other Morphological Parameters?....Pages 349-360
Nonlinear Stress-Strain Behavior Due to Damage Accumulation in Cortical Bone....Pages 361-372
A Volumetric Finite Element Scheme to Investigate the Mechanical Properties of Normal and Osteoporotic Trabecular Bone....Pages 373-386
Similarities in Bone Remodeling and Damage Evolution....Pages 387-400
Bounds for Cell Wall Permeabilities....Pages 401-406
Back Matter....Pages 407-414


This book contains the edited version of invited lectures presented at the IUTAM Symposium on Synthesis in Bio Solid Mechanics held in Copenhagen, Denmark, 24-27 May, 1998. The Symposium was attended by 48 scientists in mechanics, mathematics and medicine from 14 countries. The fields of interest range over experimental issues, models of bone remodelling, micromechanics of bone, analogies between optimal design models and bone remodelling, to mathematical issues of the various models seen in this exciting area.
Biomechanics has been a very active research area in the last 25 years and covers a very broad class of problems. The present book concentrates on the solid mechanics domain of biomechanics, where important problems of synthesis are presently an active and challenging part.
Characteristics of biomechanical materials are not only their inhomogeneity and anisotropy, but also their capability to change in relation to actual use. These living materials call for new methods of analysis and also new methods for synthesis. By synthesis in this context is meant design of implants or artificial control of material growth.
Bone mechanics is closely related to recent work on analysis and design of microstructural anistropic materials. Also, recent work in shape design can to some extent be useful in the more complicated problems of biomechanics. Here interface problems play an essential role. This volume will be of interest to researchers in the field of (bio)mechanics and (bio)materials.
Content:
Front Matter....Pages i-x
Functional Adaptation in Bone....Pages 1-10
Mechanical and Hormonal Mechanisms Influencing Skeletal Form....Pages 11-20
Self-Organization of Topological Structures by a Cellular Automaton....Pages 21-32
Architectural 3-D Parameters and Anisotropic Elastic Properties of Cancellous Bone....Pages 33-42
Lattice Continuum Model for Bone Remodeling Considering Microstructural Optimality of Trabecular Architecture....Pages 43-54
Anchorage of Orthopaedic Prostheses....Pages 55-66
Design of Materials Subject to Bio-Mechanical Compatibility Constraints....Pages 67-78
Joint Load Identification During Cyclic Movements....Pages 79-92
Why aren’t Skeletal Tissues Perfect?....Pages 93-102
Dynamics of Joint Morphogenesis....Pages 103-114
Optimal Modification and Evolution of Elastic Continuum Structures....Pages 115-128
Effect of Time Dependence on the Mechanical Behavior of Compact Bone Tissue....Pages 129-138
Anisotropic Residual Stress Measurements in Compact Bone Using Polychromatic X-Ray Diffraction....Pages 139-150
A 3-D Finite Element Model of the Rat Tibialis Anterior Muscle....Pages 151-162
Image Based Design and Manufacture of Scaffolds for Bone Reconstruction....Pages 163-174
Fatigue Damage in Bone: Links to Adaptation....Pages 175-186
Fracture Gap Movement as a Function of Musculo-Skeletal Loading Conditions During Gait....Pages 187-198
Experimental Micromechanics and Viscoelasticity of Biological and Bioprotective Materials....Pages 199-208
Global and Local Material Optimization Models Applied to Anisotropic Bone Adaptation....Pages 209-220
On the Optimality of Bone Microstructure....Pages 221-234
An Existence Result in Bone Remodelling....Pages 235-246
Structural Optimization and Biological “Designs”....Pages 247-264
On Simple Model of Self-Adapting Bone Material....Pages 265-276
Computer Simulations of Refractive Surgery and Accommodation Mechanisms....Pages 277-284
Optimization of Left Ventricular Muscle Fiber Orientation....Pages 285-296
Optimization of Material Symmetry....Pages 297-308
Surface Remodeling Simulation of Trabecular Bone Using Microstructural Finite Element Models....Pages 309-320
Tissue Adaptation as a Discrete-Dynamical Process in Time and Space....Pages 321-332
Time Simulation of Bone Adaptation....Pages 333-348
Can the Mechanical Trabecular Bone Quality be Estimated Reliably from Mean Intercept Length or Other Morphological Parameters?....Pages 349-360
Nonlinear Stress-Strain Behavior Due to Damage Accumulation in Cortical Bone....Pages 361-372
A Volumetric Finite Element Scheme to Investigate the Mechanical Properties of Normal and Osteoporotic Trabecular Bone....Pages 373-386
Similarities in Bone Remodeling and Damage Evolution....Pages 387-400
Bounds for Cell Wall Permeabilities....Pages 401-406
Back Matter....Pages 407-414
....
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