Produktbild: Computational Continuum Mechanics

Computational Continuum Mechanics

151,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

20.02.2018

Verlag

John Wiley & Sons Inc

Seitenzahl

368

Maße (L/B/H)

24,6/16,8/2,3 cm

Gewicht

726 g

Auflage

3rd edition

Sprache

Englisch

ISBN

978-1-119-29321-7

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

20.02.2018

Verlag

John Wiley & Sons Inc

Seitenzahl

368

Maße (L/B/H)

24,6/16,8/2,3 cm

Gewicht

726 g

Auflage

3rd edition

Sprache

Englisch

ISBN

978-1-119-29321-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Computational Continuum Mechanics
  • PREFACE ix
     
    1 INTRODUCTION 1
     
    1.1 Matrices / 2
     
    1.2 Vectors / 6
     
    1.3 Summation Convention / 11
     
    1.4 Cartesian Tensors / 12
     
    1.5 Polar Decomposition Theorem / 21
     
    1.6 D'Alembert's Principle / 23
     
    1.7 Virtual Work Principle / 29
     
    1.8 Approximation Methods / 32
     
    1.9 Discrete Equations / 34
     
    1.10 Momentum, Work, and Energy / 37
     
    1.11 Parameter Change and Coordinate Transformation / 39
     
    Problems / 43
     
    2 KINEMATICS 47
     
    2.1 Motion Description / 48
     
    2.2 Strain Components / 55
     
    2.3 Other Deformation Measures / 60
     
    2.4 Decomposition of Displacement / 62
     
    2.5 Velocity and Acceleration / 64
     
    2.6 Coordinate Transformation / 68
     
    2.7 Objectivity / 74
     
    2.8 Change of Volume and Area / 77
     
    2.9 Continuity Equation / 81
     
    2.10 Reynolds' Transport Theorem / 82
     
    2.11 Examples of Deformation / 84
     
    2.12 Important Geometry Concepts / 92
     
    Problems / 94
     
    3 FORCES AND STRESSES 97
     
    3.1 Equilibrium of Forces / 97
     
    3.2 Transformation of Stresses / 100
     
    3.3 Equations of Equilibrium / 100
     
    3.4 Symmetry of the cauchy Stress Tensor / 102
     
    3.5 Virtual Work of the Forces / 103
     
    3.6 Deviatoric Stresses / 113
     
    3.7 Stress Objectivity / 115
     
    3.8 Energy Balance / 119
     
    Problems / 120
     
    4 CONSTITUTIVE EQUATIONS 123
     
    4.1 Generalized Hooke's Law / 124
     
    4.2 Anisotropic Linearly Elastic Materials / 126
     
    4.3 Material Symmetry / 127
     
    4.4 Homogeneous Isotropic Material / 129
     
    4.5 Principal Strain Invariants / 136
     
    4.6 Special Material Models for Large Deformations / 137
     
    4.7 Linear Viscoelasticity / 141
     
    4.8 Nonlinear Viscoelasticity / 155
     
    4.9 A Simple Viscoelastic Model for Isotropic Materials / 161
     
    4.10 Fluid Constitutive Equations / 162
     
    4.11 Navier-Stokes Equations / 164
     
    Problems / 164
     
    5 FINITE ELEMENT FORMULATION: LARGE-DEFORMATION, LARGE-ROTATION PROBLEM 167
     
    5.1 Displacement Field / 169
     
    5.2 Element Connectivity / 176
     
    5.3 Inertia and Elastic Forces / 178
     
    5.4 Equations of Motion / 180
     
    5.5 Numerical Evaluation of The Elastic Forces / 188
     
    5.6 Finite Elements and Geometry / 193
     
    5.7 Two-Dimensional Euler-Bernoulli Beam Element / 199
     
    5.8 Two-Dimensional Shear Deformable Beam Element / 203
     
    5.9 Three-Dimensional Cable Element / 205
     
    5.10 Three-Dimensional Beam Element / 206
     
    5.11 Thin-Plate Element / 208
     
    5.12 Higher-Order Plate Element / 210
     
    5.13 Brick Element / 211
     
    5.14 Element Performance / 212
     
    5.15 Other Finite Element Formulations / 216
     
    5.16 Updated Lagrangian and Eulerian Formulations / 218
     
    5.17 Concluding Remarks / 221
     
    Problems / 223
     
    6 FINITE ELEMENT FORMULATION: SMALL-DEFORMATION, LARGE-ROTATION PROBLEM 225
     
    6.1 Background / 226
     
    6.2 Rotation and Angular Velocity / 229
     
    6.3 Floating Frame of Reference (FFR) / 234
     
    6.4 Intermediate Element Coordinate System / 236
     
    6.5 Connectivity and Reference Conditions / 238
     
    6.6 Kinematic Equations / 243
     
    6.7 Formulation of The Inertia Forces / 245
     
    6.8 Elastic Forces / 248
     
    6.9 Equations of Motion / 250
     
    6.10 Coordinate Reduction / 251
     
    6.11 Integration of Finite Element and Multibody System Algorithms / 253
     
    Problems / 258
     
    7 COMPUTATIONAL