## An Introduction to Biomechanics: Solids and Fluids, Analysis and DesignDesigned to meet the needs of undergraduate students, Introduction to Biomechanics takes the fresh approach of combining the viewpoints of both a well-respected teacher and a successful student. With an eye toward practicality without loss of depth of instruction, this book seeks to explain the fundamental concepts of biomechanics. With the accompanying web site providing models, sample problems, review questions and more, Introduction to Biomechanics provides students with the full range of instructional material for this complex and dynamic field. |

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### Contents

Introduction | 3 |

12 Health Care Applications | 5 |

13 What Is Continuum Mechanics? | 8 |

14 A Brief on Cell Biology | 11 |

15 The Extracellular Matrix | 16 |

16 Mechanotransduction in Cells | 22 |

17 General Method of Approach | 24 |

Engineering Statics | 26 |

Exercises | 324 |

Biofluid Mechanics | 329 |

Stress Motion and Constitutive Relations | 331 |

72 Stress and Pressure | 332 |

The Study of Motion | 333 |

74 Constitutive Behavior | 351 |

75 Blood Characteristics | 359 |

76 ConeandPlate Viscometry | 364 |

Exercises | 39 |

Biosolid Mechanics | 43 |

Stress Strain and Constitutive Relations | 45 |

22 Concept of Stress | 46 |

23 Stress Transformations | 56 |

24 Principal Stresses and Maximum Shear | 62 |

25 Concept of Strain | 67 |

26 Constitutive Behavior | 81 |

27 Mechanical Properties of Bone | 94 |

Material Properties | 96 |

Exercises | 97 |

Equilibrium Universal Solutions and Inflation | 104 |

32 NavierSpace Equilibrium Equations | 108 |

33 Axially Loaded Rods | 110 |

34 Pressurization and Extension of a ThinWalled Tube | 118 |

35 Pressurization of a Thin Spherical Structure | 130 |

36 ThickWalled Cylinders | 135 |

First Moments of Area | 142 |

Exercises | 147 |

Extension and Torsion | 154 |

41 Deformations due to Extension | 155 |

42 Shear Stress due to Torsion | 169 |

43 Principal Stresses and Strains in Torsion | 176 |

44 Angle of Twist due to Torque | 181 |

Bone Properties | 188 |

Papillary Muscles | 189 |

47 Inflation Extension and Twist | 193 |

Second Moments of Area | 194 |

Exercises | 197 |

Beam Bending and Column Buckling | 202 |

51 Shear Forces and Bending Moments | 203 |

52 Stresses in Beams | 211 |

53 Deformation in Beams | 227 |

The AFM | 235 |

55 Principle of Superposition | 239 |

56 Column Buckling | 245 |

Parallel Axis Theorem and Composite Sections | 254 |

Exercises | 260 |

Some Nonlinear Problems | 271 |

62 Pseudoelastic Constitutive Relations | 277 |

63 Design of Biaxial Tests on Planar Membranes | 287 |

64 Stability of Elastomeric Balloons | 293 |

65 Residual Stress and Arteries | 303 |

66 A Role of Vascular Smooth Muscle | 315 |

Matrices | 321 |

Vector Calculus Review | 368 |

Exercises | 374 |

Fundamental Balance Relations | 379 |

81 Balance of Mass | 380 |

82 Balance of Linear Momentum | 383 |

83 NavierStokes Equations | 386 |

84 The Euler Equation | 392 |

85 The Bernoulli Equation | 396 |

86 Measurement of Pressure and Flow | 411 |

87 NavierStokes Worksheets | 415 |

Differential Equations | 419 |

Exercises | 421 |

Some Exact Solutions | 426 |

91 Flow Between Parallel Flat Plates | 427 |

92 Steady Flow in Circular Tubes | 444 |

93 Circumferential Flow Between Concentric Cylinders | 452 |

94 Steady Flow in an Elliptical Cross Section | 462 |

95 Pulsatile Flow | 465 |

96 NonNewtonian Flow in a Circular Tube | 473 |

Biological Parameters | 477 |

Exercises | 479 |

Control Volume and Semiempirical Methods | 491 |

102 Control Volume Analyses in Rigid Conduits | 500 |

103 Control Volume Analyses in Deforming Containers | 509 |

104 Murrays Law and Optimal Design | 513 |

105 Buckingham Pi and Experimental Design | 518 |

106 Pipe Flow | 528 |

107 Conclusion | 542 |

Thermodynamics | 543 |

Exercises | 545 |

Closure | 555 |

Coupled SolidFluid Problems | 557 |

112 Diffusion Through a Membrane | 559 |

113 Dynamics of a Saccular Aneurysm | 571 |

QLV and Beyond | 582 |

115 Lubrication of Articulating Joints | 597 |

116 Thermomechanics Electromechanics and Chemomechanics | 603 |

Exercises | 606 |

Epilogue | 612 |

122 Need for Lifelong Learning | 617 |

123 Conclusion | 618 |

References | 619 |

625 | |

About the Authors | 631 |

### Other editions - View all

An Introduction to Biomechanics: Solids and Fluids, Analysis and Design Jay D. Humphrey,Sherry L. O’Rourke No preview available - 2015 |

### Common terms and phrases

analysis aneurysm applied loads artery assume axial load beam behavior bending Bernoulli Bernoulli's equation biomechanics biosolid blood bone boundary conditions Cartesian cells centroid Chapter circumferential collagen computed constant constitutive relations control volume coordinate system cross section cylinder deformation denote determine diameter differential equation direction displacement elastic elastin equilibrium example experiment FIGURE force free-body diagram function Fung given gradient Hence Hooke's law Humphrey important integration LEHI length linear momentum mass balance material matrix maximum measure mechanobiology membrane molecules motion Navier–Stokes equation Newtonian fluid nondimensional nonlinear normal stress Note parameters pressure problem proteins pseudoplastic radius Recall response result rotation Schema shear rates shear stress shown simple smooth muscle soft tissues solid solid mechanics solution solve statics structure surface tion torque tube vector velocity vessel viscoelastic viscosity volumetric flow rate wall shear stress whereas zero

### Popular passages

Page 621 - Levesque. MJ and Nerem, RM, 1985, "The Elongation and Orientation of Cultured Endothelial Cells in Response to Shear Stress" . Journal of Biomechanical Engineering, vol.

Page 622 - Gaub, HE, 1992. From molecules to cells: imaging soft samples with the Atomic Force Microscope.