An introduction to biomechanics: solids and fluids, analysis and design
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
2015
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Ausgabe: | 2. ed. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XXVI, 692 S. Ill., graph. Darst. |
ISBN: | 9781493926220 |
Internformat
MARC
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245 | 1 | 0 | |a An introduction to biomechanics |b solids and fluids, analysis and design |c Jay D. Humphrey ; Sherry L. O'Rourke |
250 | |a 2. ed. | ||
264 | 1 | |a New York, NY [u.a.] |b Springer |c 2015 | |
300 | |a XXVI, 692 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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650 | 4 | |a Medicine | |
650 | 4 | |a Human physiology | |
650 | 4 | |a Biochemical engineering | |
650 | 4 | |a Mechanics, applied | |
650 | 4 | |a Biomedical engineering | |
650 | 4 | |a Biomedicine | |
650 | 4 | |a Human Physiology | |
650 | 4 | |a Biomedical Engineering | |
650 | 4 | |a Theoretical and Applied Mechanics | |
650 | 4 | |a Biochemical Engineering | |
650 | 4 | |a Medizin | |
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Datensatz im Suchindex
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---|---|
adam_text | Titel: An introduction to biomechanics
Autor: Humphrey, Jay Dowell
Jahr: 2015
Contents
Preface to the Second Edition............................... vii
Preface to the First Edition................................. ix
Comments from a Student to a Student....................... xiii
Acknowledgments........................................ xv
Contents............................................... xvii
Summary of Observations................................. xxv
Part I Background................................. 1
1. Introduction......................................... 3
1.1 Point of Departure................................ 3
1.2 Health Care Applications........................... 5
1.3 What Is Continuum Mechanics?...................... 9
1.4 A Brief on Cell Biology............................ 11
1.5 The Extracellular Matrix........................... 17
1.6 Mechanotransduction in Cells........................ 23
1.7 General Method of Approach........................ 24
Chapter Summary...................................... 27
Appendix 1: Engineering Statics........................... 28
Exercises............................................ 41
Part II Biosolid Mechanics........................... 45
2. Stress, Strain, and Constitutive Relations.................. 47
2.1 Introduction..................................... 47
2.2 Concept of Stress................................. 49
2.3 Stress Transformations............................. 58
xvn
xviii Contents
2.4 Principal Stresses and Maximum Shear................. 63
2.5 Concept of Strain................................. 68
2.6 Constitutive Behavior.............................. 83
2.6.1 Illustrative Characteristic Behaviors.............. 88
2.6.2 Hookean LEHI Behavior...................... 89
2.6.3 Hooke s Law for Transverse Isotropy............. 93
2.6.4 Hooke s Law for Orthotropy.................... 94
2.6.5 Other Coordinate Systems..................... 94
2.7 Mechanical Properties of Bone....................... 97
Chapter Summary...................................... 99
Appendix 2: Material Properties........................... 100
Exercises............................................ 101
3. Equilibrium, Universal Solutions, and Inflation.............. 109
3.1 General Equilibrium Equations....................... 109
3.2 Navier-Space Equilibrium Equations.................. 113
3.3 Axially Loaded Rods.............................. 116
3.3.1 Biological Motivation......................... 117
3.3.2 Mathematical Formulation..................... 119
3.4 Pressurization and Extension of a Thin-Walled Tube...... 125
3.4.1 Biological Motivation......................... 126
3.4.2 Mathematical Formulation..................... 127
3.5 Pressurization of a Thin Spherical Structure............. 138
3.5.1 Biological Motivation......................... 138
3.5.2 Mathematical Formulation..................... 140
3.6 Thick-Walled Cylinders............................ 142
Chapter Summary...................................... 149
Appendix 3: First Moments of Area........................ 151
Exercises............................................ 156
4. Extension and Torsion................................. 163
4.1 Deformations Due to Extension...................... 164
4.1.1 Biological Motivation......................... 164
4.1.2 Theoretical Framework........................ 169
4.1.3 Clinical Application.......................... 175
4.2 Shear Stress Due to Torsion......................... 178
4.2.1 Introduction................................ 178
4.2.2 Biological Motivation......................... 179
4.2.3 Mathematical Formulation..................... 179
4.3 Principal Stresses and Strains in Torsion................ 186
4.4 Angle of Twist Due to Torque....................... 191
4.4.1 Basic Derivation............................ 192
4.4.2 Statically Indeterminate Problems................ 194
Contents xix
4.5 Experimental Design: Bone Properties................. 198
4.6 Experimental Design: Papillary Muscles................ 199
4.6.1 Biological Motivation......................... 199
4.6.2 Experimental Design......................... 201
4.7 Inflation, Extension, and Twist....................... 203
Chapter Summary...................................... 204
Appendix 4: Second Moments of Area...................... 206
Exercises............................................ 208
5. Beam Bending and Column Bückling..................... 213
5.1 Shear Forces and Bending Moments................... 214
5.2 Stresses in Beams................................. 223
5.2.1 Biological Motivation......................... 223
5.2.2 Theoretical Framework........................ 224
5.2.3 Illustrative Examples......................... 234
5.3 Deformation in Beams............................. 241
5.3.1 Biological Motivation......................... 241
5.3.2 Theoretical Framework........................ 241
5.3.3 Illustrative Examples......................... 244
5.4 Transducer Design: The AFM....................... 250
5.4.1 Introduction................................ 250
5.4.2 The Atomic Force Microscope.................. 251
5.4.3 Illustrative Example.......................... 252
5.5 Principle of Superposition.......................... 255
5.6 Column Bückling................................. 262
5.6.1 Concept of Stability.......................... 262
5.6.2 Bückling of a Cantilevered Column............... 264
Chapter Summary...................................... 271
Appendix 5: Parallel Axis Theorem and Composite Sections...... 273
Exercises............................................ 278
6. Some Nonlinear Problems.............................. 289
6.1 Kinematics...................................... 289
6.2 Pseudoelastic Constitutive Relations................... 295
6.3 Design of Biaxial Tests on Planar Membranes........... 304
6.3.1 Biological Motivation......................... 304
6.3.2 Theoretical Framework........................ 305
6.4 Stability of Elastomeric Balloons..................... 311
6.4.1 Biological Motivation......................... 311
6.4.2 Theoretical Framework........................ 312
6.4.3 Inflation of a Neuroangioplasty Balloon............ 315
xx Contents
6.5 Residual Stress and Arteries......................... 321
6.5.1 Biological Motivation......................... 321
6.5.2 Theoretical Framework........................ 324
6.5.3 Illustrative Results........................... 331
6.6 A Role of Vascular Smooth Muscle................... 334
6.6.1 Muscle Basics.............................. 334
6.6.2 Quantification.............................. 335
Chapter Summary...................................... 338
Appendix 6: Matrices................................... 341
Exercises............................................ 344
Part III Biofluid Mechanics.......................... 351
7. Stress, Motion, and Constitutive Relations................. 353
7.1 Introduction..................................... 353
7.2 Stress and Pressure................................ 354
7.3 Kinematics: The Study of Motion..................... 356
7.3.1 Velocity and Acceleration...................... 357
7.3.2 Fluid Rotation.............................. 365
7.3.3 Rate of Deformation.......................... 368
7.4 Constitutive Behavior.............................. 373
7.4.1 Newtonian Behavior.......................... 374
7.4.2 Non-Newtonian Behavior...................... 379
7.5 Blood Characteristics.............................. 383
7.5.1 Plasma.................................... 383
7.5.2 Blood Cells................................ 384
7.5.3 Additional Rheological Considerations............ 385
7.6 Cone-and-Plate Viscometry......................... 388
Chapter Summary...................................... 392
Appendix 7: Vector Calculus Review....................... 393
Exercises............................................ 400
8. Fundamental Balance Relations.......................... 405
8.1 Balance of Mass.................................. 406
8.2 Balance of Linear Momentum....................... 409
8.3 Navier-Stokes Equations........................... 413
8.4 The Euler Equation............................... 419
8.5 The Bernoulli Equation............................ 423
8.5.1 Bernoulli Equation for Flow Along a Streamline..... 423
8.5.2 Bernoulli Equation for Irrotational Flow........... 425
8.5.3 Further Restrictions for the Bernoulli Equation...... 431
Contents xxi
8.6 Measurement of Pressure and Flow.................... 439
8.6.1 Pressure................................... 439
8.6.2 Flow..................................... 441
8.7 Navier-Stokes Worksheets.......................... 444
Chapter Summary...................................... 447
Appendix 8: Differential Equations......................... 448
Exercises............................................ 451
9. Some Exact Solutions.................................. 455
9.1 Flow Between Parallel Fiat Plates..................... 456
9.1.1 Biological Motivation......................... 456
9.1.2 Mathematical Formulation..................... 457
9.2 Steady Flow in Circular Tubes....................... 474
9.2.1 Biological Motivation......................... 474
9.2.2 Mathematical Formulation..................... 477
9.3 Circumferential Flow Between Concentric Cylinders...... 483
9.3.1 Bioreactor Application........................ 483
9.3.2 Mathematical Formulation..................... 484
9.3.3 Viscometer Application....................... 488
9.4 Steady Flow in an Elliptical Cross Section.............. 492
9.4.1 Biological Motivation......................... 492
9.4.2 Mathematical Formulation..................... 494
9.5 Pulsatile Flow................................... 496
9.5.1 Some Biological Motivation.................... 496
9.5.2 Mathematical Formulation..................... 497
9.6 Non-Newtonian Flow in a Circular Tube............... 504
9.6.1 Motivation................................. 504
9.6.2 Mathematical Formulation..................... 505
Chapter Summary...................................... 508
Appendix 9: Biological Parameters......................... 509
Exercises............................................ 511
10. Control Volume and Semi-empirical Methods.............. 525
10.1 Fundamental Equations........................... 525
10.1.1 Theoretical Framework....................... 528
10.1.2 Special Cases for Mass and Momentum........... 532
10.1.3 The Energy Equation........................ 533
10.2 Control Volume Analyses in Rigid Conduits............ 534
10.2.1 Clinical Motivation......................... 534
10.2.2 Illustrative Examples........................ 535
xxii Contents
10.3 Control Volume Analyses in Deforming Containers...... 546
10.3.1 Clinical Motivation......................... 546
10.3.2 Mathematical Formulation.................... 546
10.4 Murray s Law and Optimal Design................... 549
10.4.1 Straight Segment........................... 550
10.4.2 Bifurcation Areas........................... 551
10.4.3 Bifurcation Patterns......................... 553
10.5 Buckingham Pi and Experimental Design.............. 555
10.5.1 Motivation................................ 555
10.5.2 Recipe................................... 556
10.6 Pipe Flow...................................... 566
10.7 Conclusion..................................... 583
Chapter Summary..................................... 584
Appendix 10: Thermodynamics.......................... 585
Exercises........................................... 588
Part IV Closure.................................... 599
11. Coupled Solid-Fluid Problems.......................... 601
11.1 Vein Mechanobiology............................ 602
11.1.1 Biological Motivation........................ 602
11.1.2 Theoretical Framework....................... 602
11.2 Diffusion Through a Membrane..................... 603
11.2.1 Biological Motivation........................ 603
11.2.2 Theoretical Basis........................... 604
11.2.3 Illustration................................ 608
11.3 Dynamics of a Saccular Aneurysm................... 619
11.3.1 Biological Motivation........................ 619
11.3.2 Mathematical Framework..................... 620
11.4 Viscoelasticity: QLV and Beyond.................... 630
11.4.1 Linearized Viscoelasticity..................... 632
11.4.2 Quasilinear Viscoelasticity.................... 645
11.4.3 Need for Nonlinear Theories................... 645
11.5 Lubrication of Articulating Joints.................... 646
11.5.1 Biological Motivation........................ 646
11.5.2 Hydrodynamic Lubrication.................... 646
11.5.3 Need for a Mixture Theory.................... 651
11.6 Thermomechanics, Electromechanics,
and Chemomechanics............................. 654
Chapter Summary..................................... 657
Appendix 11: Wave Equations........................... 658
Exercises........................................... 660
Contents xxiii
12. Epilogue........................................... 667
12.1 Future Needs in Biomechanics...................... 668
12.2 Need for Lifelong Learning........................ 672
12.3 Conclusion..................................... 673
References.............................................. 675
About the Authors........................................ 681
Index.................................................. 683
|
any_adam_object | 1 |
author | Humphrey, Jay Dowell 1959- O'Rourke, Sherry L. 1977- |
author_GND | (DE-588)123554039 (DE-588)128725621 |
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discipline | Biologie Medizin |
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spelling | Humphrey, Jay Dowell 1959- Verfasser (DE-588)123554039 aut An introduction to biomechanics solids and fluids, analysis and design Jay D. Humphrey ; Sherry L. O'Rourke 2. ed. New York, NY [u.a.] Springer 2015 XXVI, 692 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Medicine Human physiology Biochemical engineering Mechanics, applied Biomedical engineering Biomedicine Human Physiology Biomedical Engineering Theoretical and Applied Mechanics Biochemical Engineering Medizin Biomechanik (DE-588)4006880-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Biomechanik (DE-588)4006880-8 s DE-604 O'Rourke, Sherry L. 1977- Verfasser (DE-588)128725621 aut Erscheint auch als Online-Ausgabe 978-1-4939-2623-7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028259779&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Humphrey, Jay Dowell 1959- O'Rourke, Sherry L. 1977- An introduction to biomechanics solids and fluids, analysis and design Medicine Human physiology Biochemical engineering Mechanics, applied Biomedical engineering Biomedicine Human Physiology Biomedical Engineering Theoretical and Applied Mechanics Biochemical Engineering Medizin Biomechanik (DE-588)4006880-8 gnd |
subject_GND | (DE-588)4006880-8 (DE-588)4123623-3 |
title | An introduction to biomechanics solids and fluids, analysis and design |
title_auth | An introduction to biomechanics solids and fluids, analysis and design |
title_exact_search | An introduction to biomechanics solids and fluids, analysis and design |
title_full | An introduction to biomechanics solids and fluids, analysis and design Jay D. Humphrey ; Sherry L. O'Rourke |
title_fullStr | An introduction to biomechanics solids and fluids, analysis and design Jay D. Humphrey ; Sherry L. O'Rourke |
title_full_unstemmed | An introduction to biomechanics solids and fluids, analysis and design Jay D. Humphrey ; Sherry L. O'Rourke |
title_short | An introduction to biomechanics |
title_sort | an introduction to biomechanics solids and fluids analysis and design |
title_sub | solids and fluids, analysis and design |
topic | Medicine Human physiology Biochemical engineering Mechanics, applied Biomedical engineering Biomedicine Human Physiology Biomedical Engineering Theoretical and Applied Mechanics Biochemical Engineering Medizin Biomechanik (DE-588)4006880-8 gnd |
topic_facet | Medicine Human physiology Biochemical engineering Mechanics, applied Biomedical engineering Biomedicine Human Physiology Biomedical Engineering Theoretical and Applied Mechanics Biochemical Engineering Medizin Biomechanik Lehrbuch |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028259779&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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