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