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Produktbild: The Elements of Continuum Biomechanics

The Elements of Continuum Biomechanics

137,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

20.08.2012

Verlag

John Wiley & Sons

Seitenzahl

392

Maße (L/B/H)

25,4/17,5/2,4 cm

Gewicht

744 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-99923-2

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

20.08.2012

Verlag

John Wiley & Sons

Seitenzahl

392

Maße (L/B/H)

25,4/17,5/2,4 cm

Gewicht

744 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-99923-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: The Elements of Continuum Biomechanics
  • Dedication ix
     
    Preface xi
     
    Part One A one-dimensional context 1
     
    1 Material bodies and kinematics 3
     
    1.1 Introduction 3
     
    1.2 Continuous vs. discrete 6
     
    1.3 Configurations and deformations 9
     
    1.4 The deformation gradient 14
     
    1.5 Change of reference configuration 15
     
    1.6 Strain 16
     
    1.7 Displacement 18
     
    1.8 Motion 19
     
    1.9 The Lagrangian and Eulerian representations of fields 22
     
    1.10 The material derivative 24
     
    1.11 The rate of deformation 26
     
    1.12 The cross section 27
     
    2 Balance laws 29
     
    2.1 Introduction 29
     
    2.2 The generic Lagrangian balance equation 30
     
    2.2.1 Extensive properties 30
     
    2.2.2 The balance equation 31
     
    2.3 The generic Eulerian balance equation 35
     
    2.4 Case study: Blood flow as a traffic problem 37
     
    2.5 Case study: Diffusion of a pollutant 39
     
    2.5.1 Derivation of the diffusion equation 39
     
    2.5.2 A discrete diffusion model 41
     
    2.6 The thermo-mechanical balance laws 42
     
    2.6.1 Conservation of mass 42
     
    2.6.2 Balance of (linear) momentum 43
     
    2.6.3 The concept of stress 44
     
    2.7 Case study: Vibration of air in the ear canal 45
     
    2.8 Kinetic energy 50
     
    2.9 The thermodynamical balance laws 55
     
    2.9.1 Introduction 55
     
    2.9.2 Balance of energy 56
     
    2.9.3 The entropy inequality 58
     
    2.10 Summary of balance equations 59
     
    2.11 Case study: Bioheat transfer and malignant hyperthermia 61
     
    3 Constitutive equations 69
     
    3.1 Introduction 69
     
    3.2 The principle of determinism 70
     
    3.3 The principle of equipresence 72
     
    3.4 The principle of material frame-indifference 72
     
    3.5 The principle of dissipation 75
     
    3.6 Case study: Memory aspects of striated muscle 79
     
    3.7 Case study: The thermo(visco)elastic effect in skeletal muscle 85
     
    3.8 The theory of materials with fading memory 90
     
    3.8.1 Groundwork 90
     
    3.8.2 Fading memory 93
     
    3.8.3 Stress relaxation 95
     
    3.8.4 Finite linear viscoelasticity 96
     
    4 Mixture theory 99
     
    4.1 Introduction 99
     
    4.2 The basic tenets of mixture theory 99
     
    4.3 Mass balance 101
     
    4.4 Balance of linear momentum 102
     
    4.4.1 Constituent balances 102
     
    4.4.2 Mixture balance 103
     
    4.5 Case study: Confined compression of articular cartilage 106
     
    4.5.1 Introduction 106
     
    4.5.2 Empirical facts 107
     
    4.5.3 Field equations 108
     
    4.5.4 Nonlinear creep 112
     
    4.5.5 Hysteresis 115
     
    4.5.6 The linearized theory 115
     
    4.6 Energy balance 121
     
    4.6.1 Constituent balances 121
     
    4.6.2 Mixture balance 123
     
    4.7 The entropy inequality 124
     
    4.8 Chemical aspects 125
     
    4.8.1 Stoichiometry 125
     
    4.8.2 Thermodynamics of homogeneous systems 129
     
    4.8.3 Enthalpy and heats of reaction 131
     
    4.8.4 The meaning of the Helmholtz free energy 134
     
    4.8.5 Homogeneous mixtures 135
     
    4.8.6 Equilibrium and stability 137
     
    4.8.7 The Gibbs free energy as a Legendre transformation 138
     
    4.9 Ideal mixtures 140
     
    4.9.1 The ideal gas paradigm 140
     
    4.9.2 Mixtures of ideal gases 141
     
    4.9.3 Other ideal mixtures 145
     
    4.10 Case study: Bone as a chemically reacting mixture 145
     
    Part Two Toward three spatial dimensions 151
     
    5 Geometry and kinematics 153
     
    5.1 Introduction 153
     
    5.2 Vectors and tensors 15