| |
| |
| Preface | |
| |
| |
| Comments from a Student to a Student | |
| |
| |
| Acknowledgments | |
| |
| |
| |
| Background | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Point of Departure | |
| |
| |
| |
| Health Care Applications | |
| |
| |
| |
| What Is Continuum Mechanics? | |
| |
| |
| |
| A Brief on Cell Biology | |
| |
| |
| |
| The Extracellular Matrix | |
| |
| |
| |
| Mechanotransduction in Cells | |
| |
| |
| |
| General Method of Approach | |
| |
| |
| |
| Engineering Statics | |
| |
| |
| Exercises | |
| |
| |
| |
| Biosolid Mechanics | |
| |
| |
| |
| Stress, Strain, and Constitutive Relations | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Concept of Stress | |
| |
| |
| |
| Stress Transformations | |
| |
| |
| |
| Principal Stresses and Maximum Shear | |
| |
| |
| |
| Concept of Strain | |
| |
| |
| |
| Constitutive Behavior | |
| |
| |
| |
| Mechanical Properties of Bone | |
| |
| |
| |
| Material Properties | |
| |
| |
| Exercises | |
| |
| |
| |
| Equilibrium, Universal Solutions, and Inflation | |
| |
| |
| |
| General Equilibrium Equations | |
| |
| |
| |
| Navier-Space Equilibrium Equations | |
| |
| |
| |
| Axially Loaded Rods | |
| |
| |
| |
| Pressurization and Extension of a Thin-Walled Tube | |
| |
| |
| |
| Pressurization of a Thin Spherical Structure | |
| |
| |
| |
| Thick-Walled Cylinders | |
| |
| |
| |
| First Moments of Area | |
| |
| |
| Exercises | |
| |
| |
| |
| Extension and Torsion | |
| |
| |
| |
| Deformations due to Extension | |
| |
| |
| |
| Shear Stress due to Torsion | |
| |
| |
| |
| Principal Stresses and Strains in Torsion | |
| |
| |
| |
| Angle of Twist due to Torque | |
| |
| |
| |
| Experimental Design: Bone Properties | |
| |
| |
| |
| Experimental Design: Papillary Muscles | |
| |
| |
| |
| Inflation, Extension and Twist | |
| |
| |
| |
| Second Moments of Area | |
| |
| |
| Exercises | |
| |
| |
| |
| Beam Bending and Column Buckling | |
| |
| |
| |
| Shear Forces and Bending Moments | |
| |
| |
| |
| Stresses in Beams | |
| |
| |
| |
| Deformation in Beams | |
| |
| |
| |
| Transducer Design: The AFM | |
| |
| |
| |
| Principle of Superposition | |
| |
| |
| |
| Column Buckling | |
| |
| |
| |
| Parallel Axis Theorem and Composite Sections | |
| |
| |
| Exercises | |
| |
| |
| |
| Some Nonlinear Problems | |
| |
| |
| |
| Kinematics | |
| |
| |
| |
| Pseudoelastic Constitutive Relations | |
| |
| |
| |
| Design of Biaxial Tests on Planar Membranes | |
| |
| |
| |
| Stability of Elastomeric Balloons | |
| |
| |
| |
| Residual Stress and Arteries | |
| |
| |
| |
| A Role of Vascular Smooth Muscle | |
| |
| |
| |
| Matrices | |
| |
| |
| Exercises | |
| |
| |
| |
| Biofluid Mechanics | |
| |
| |
| |
| Stress, Motion, and Constitutive Relations | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Stress and Pressure | |
| |
| |
| |
| Kinematics: The Study of Motion | |
| |
| |
| |
| Constitutive Behavior | |
| |
| |
| |
| Blood Characteristics | |
| |
| |
| |
| Cone-and-Plate Viscometry | |
| |
| |
| |
| Vector Calculus Review | |
| |
| |
| Exercises | |
| |
| |
| |
| Fundamental Balance Relations | |
| |
| |
| |
| Balance of Mass | |
| |
| |
| |
| Balance of Linear Momentum | |
| |
| |
| |
| Navier-Stokes Equations | |
| |
| |
| |
| Euler Equation | |
| |
| |
| |
| The Bernoulli Equation | |
| |
| |
| |
| Measurement of Pressure and Flow | |
| |
| |
| |
| Navier-Stokes Worksheets | |
| |
| |
| |
| Differential Equations | |
| |
| |
| Exercises | |
| |
| |
| |
| Some Exact Solutions | |
| |
| |
| |
| Flow Between Parallel Flat Plates | |
| |
| |
| |
| Steady Flow in Circular Tubes | |
| |
| |
| |
| Circumferential Flow Between Concentric Cylinders | |
| |
| |
| |
| Steady Flow in an Elliptical Cross Section | |
| |
| |
| |
| Pulsatile Flow | |
| |
| |
| |
| Non-Newtonian Flow in a Circular Tube | |
| |
| |
| |
| Biological Parameters | |
| |
| |
| Exercises | |
| |
| |
| |
| Control Volume and Semi-empirical Methods | |
| |
| |
| |
| Fundamental Equations | |
| |
| |
| |
| Control Volume Analyses in Rigid Conduits | |
| |
| |
| |
| Control Volume Analyses in Deforming Containers | |
| |
| |
| |
| Murray's Law and Optimal Design | |
| |
| |
| |
| Buckingham Pi and Experimental Design | |
| |
| |
| |
| Pipe Flow | |
| |
| |
| |
| Conclusion | |
| |
| |
| |
| Thermodynamics | |
| |
| |
| Exercises | |
| |
| |
| |
| Closure | |
| |
| |
| |
| Coupled Solid-Fluid Problems | |
| |
| |
| |
| Vein Mechanobiology | |
| |
| |
| |
| Diffusion Through a Membrane | |
| |
| |
| |
| Dynamics of a Saccular Aneurysm | |
| |
| |
| |
| Viscoelasticity: QLV and Beyond | |
| |
| |
| |
| Lubrication of Articular Joints | |
| |
| |
| |
| Thermomechanics, Electromechanics, and Chemomechanics | |
| |
| |
| Exercises | |
| |
| |
| |
| Epilogue | |
| |
| |
| |
| Future Needs in Biomechanics | |
| |
| |
| |
| Need for Lifelong Learning | |
| |
| |
| |
| Conclusion | |
| |
| |
| References | |
| |
| |
| Index | |
| |
| |
| About the Authors | |