Coverart for item
The Resource Computational continuum mechanics, Ahmed A. Shabana, (electronic book)

Computational continuum mechanics, Ahmed A. Shabana, (electronic book)

Label
Computational continuum mechanics
Title
Computational continuum mechanics
Statement of responsibility
Ahmed A. Shabana
Creator
Subject
Language
eng
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Shabana, Ahmed A.
Index
index present
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Continuum mechanics
  • Engineering mathematics
Label
Computational continuum mechanics, Ahmed A. Shabana, (electronic book)
Instantiates
Publication
Note
Previous edition: New york: Cambridge University Press, 2012
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Content category
  • text
  • still image
Content type MARC source
  • rdacontent
  • rdacontent
Contents
<p>PREFACE ix</p> <p><b>1 INTRODUCTION 1</b></p> <p>1.1 Matrices / 2</p> <p>1.2 Vectors / 6</p> <p>1.3 Summation Convention / 11</p> <p>1.4 Cartesian Tensors / 12</p> <p>1.5 Polar Decomposition Theorem / 21</p> <p>1.6 D Alembert s Principle / 23</p> <p>1.7 Virtual Work Principle / 29</p> <p>1.8 Approximation Methods / 32</p> <p>1.9 Discrete Equations / 34</p> <p>1.10 Momentum, Work, and Energy / 37</p> <p>1.11 Parameter Change and Coordinate Transformation / 39</p> <p>Problems / 43</p> <p><b>2 KINEMATICS 47</b></p> <p>2.1 Motion Description / 48</p> <p>2.2 Strain Components / 55</p> <p>2.3 Other Deformation Measures / 60</p> <p>2.4 Decomposition of Displacement / 62</p> <p>2.5 Velocity and Acceleration / 64</p> <p>2.6 Coordinate Transformation / 68</p> <p>2.7 Objectivity / 74</p> <p>2.8 Change of Volume and Area / 77</p> <p>2.9 Continuity Equation / 81</p> <p>2.10 Reynolds Transport Theorem / 82</p> <p>2.11 Examples of Deformation / 84</p> <p>2.12 Important Geometry Concepts / 92</p> <p>Problems / 94</p> <p><b>3 FORCES AND STRESSES 97</b></p> <p>3.1 Equilibrium of Forces / 97</p> <p>3.2 Transformation of Stresses / 100</p> <p>3.3 Equations of Equilibrium / 100</p> <p>3.4 Symmetry of the cauchy Stress Tensor / 102</p> <p>3.5 Virtual Work of the Forces / 103</p> <p>3.6 Deviatoric Stresses / 113</p> <p>3.7 Stress Objectivity / 115</p> <p>3.8 Energy Balance / 119</p> <p>Problems / 120</p> <p><b>4 CONSTITUTIVE EQUATIONS 123</b></p> <p>4.1 Generalized Hooke s Law / 124</p> <p>4.2 Anisotropic Linearly Elastic Materials / 126</p> <p>4.3 Material Symmetry / 127</p> <p>4.4 Homogeneous Isotropic Material / 129</p> <p>4.5 Principal Strain Invariants / 136</p> <p>4.6 Special Material Models for Large Deformations / 137</p> <p>4.7 Linear Viscoelasticity / 141</p> <p>4.8 Nonlinear Viscoelasticity / 155</p> <p>4.9 A Simple Viscoelastic Model for Isotropic Materials / 161</p> <p>4.10 Fluid Constitutive Equations / 162</p> <p>4.11 Navier Stokes Equations / 164</p> <p>Problems / 164</p> <p><b>5 FINITE ELEMENT FORMULATION: LARGE-DEFORMATION, LARGE-ROTATION PROBLEM 167</b></p> <p>5.1 Displacement Field / 169</p> <p>5.2 Element Connectivity / 176</p> <p>5.3 Inertia and Elastic Forces / 178</p> <p>5.4 Equations of Motion / 180</p> <p>5.5 Numerical Evaluation of The Elastic Forces / 188</p> <p>5.6 Finite Elements and Geometry / 193</p> <p>5.7 Two-Dimensional Euler Bernoulli Beam Element / 199</p> <p>5.8 Two-Dimensional Shear Deformable Beam Element / 203</p> <p>5.9 Three-Dimensional Cable Element / 205</p> <p>5.10 Three-Dimensional Beam Element / 206</p> <p>5.11 Thin-Plate Element / 208</p> <p>5.12 Higher-Order Plate Element / 210</p> <p>5.13 Brick Element / 211</p> <p>5.14 Element Performance / 212</p> <p>5.15 Other Finite Element Formulations / 216</p> <p>5.16 Updated Lagrangian and Eulerian Formulations / 218</p> <p>5.17 Concluding Remarks / 221</p> <p>Problems / 223</p> <p><b>6 FINITE ELEMENT FORMULATION: SMALL-DEFORMATION, LARGE-ROTATION PROBLEM 225</b></p> <p>6.1 Background / 226</p> <p>6.2 Rotation and Angular Velocity / 229</p> <p>6.3 Floating Frame of Reference (FFR) / 234</p> <p>6.4 Intermediate Element Coordinate System / 236</p> <p>6.5 Connectivity and Reference Conditions / 238</p> <p>6.6 Kinematic Equations / 243</p> <p>6.7 Formulation of The Inertia Forces / 245</p> <p>6.8 Elastic Forces / 248</p> <p>6.9 Equations of Motion / 250</p> <p>6.10 Coordinate Reduction / 251</p> <p>6.11 Integration of Finite Element and Multibody System Algorithms / 253</p> <p>Problems / 258</p> <p><b>7 COMPUTATIONAL GEOMETRY AND FINITE ELEMENT ANALYSIS 261</b></p> <p>7.1 Geometry and Finite Element Method / 262</p> <p>7.2 ANCF Geometry / 264</p> <p>7.3 Bezier Geometry / 266</p> <p>7.4 B-Spline Curve Representation / 267</p> <p>7.5 Conversion of B-Spline Geometry to ANCF Geometry / 271</p> <p>7.6 ANCF and B-Spline Surfaces / 273</p> <p>7.7 Structural and Nonstructural Discontinuities / 275</p> <p><b>8 PLASTICITY FORMULATIONS 279</b></p> <p>8.1 One-Dimensional Problem / 281</p> <p>8.2 Loading and Unloading Conditions / 282</p> <p>8.3 Solution of the Plasticity Equations / 283</p> <p>8.4 Generalization of The Plasticity Theory: Small Strains / 291</p> <p>8.5 J2 Flow Theory with Isotropic/Kinematic Hardening / 298</p> <p>8.6 Nonlinear Formulation for Hyperelastic Plastic Materials / 312</p> <p>8.7 Hyperelastic Plastic J2 FLOW THEORY / 322</p> <p>Problems / 326</p> <p>REFERENCES 329</p> <p>INDEX 339</p>
Control code
AH33040319
Edition
Third edition.
Extent
350 pages
Form of item
electronic
Governing access note
After 5 minutes Preview, click on &#x32;Request Access&#x33;, fill in a form with your details. If triggered, the book will be loaned and tied to the one user for 1 week, during which time users can read or download as they choose. 4th user request triggers auto-purchase
Isbn
9781119293231
Lccn
2017032713
Media category
computer
Media MARC source
rdamedia
Other physical details
illustrations
Specific material designation
remote
Label
Computational continuum mechanics, Ahmed A. Shabana, (electronic book)
Publication
Note
Previous edition: New york: Cambridge University Press, 2012
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Content category
  • text
  • still image
Content type MARC source
  • rdacontent
  • rdacontent
Contents
<p>PREFACE ix</p> <p><b>1 INTRODUCTION 1</b></p> <p>1.1 Matrices / 2</p> <p>1.2 Vectors / 6</p> <p>1.3 Summation Convention / 11</p> <p>1.4 Cartesian Tensors / 12</p> <p>1.5 Polar Decomposition Theorem / 21</p> <p>1.6 D Alembert s Principle / 23</p> <p>1.7 Virtual Work Principle / 29</p> <p>1.8 Approximation Methods / 32</p> <p>1.9 Discrete Equations / 34</p> <p>1.10 Momentum, Work, and Energy / 37</p> <p>1.11 Parameter Change and Coordinate Transformation / 39</p> <p>Problems / 43</p> <p><b>2 KINEMATICS 47</b></p> <p>2.1 Motion Description / 48</p> <p>2.2 Strain Components / 55</p> <p>2.3 Other Deformation Measures / 60</p> <p>2.4 Decomposition of Displacement / 62</p> <p>2.5 Velocity and Acceleration / 64</p> <p>2.6 Coordinate Transformation / 68</p> <p>2.7 Objectivity / 74</p> <p>2.8 Change of Volume and Area / 77</p> <p>2.9 Continuity Equation / 81</p> <p>2.10 Reynolds Transport Theorem / 82</p> <p>2.11 Examples of Deformation / 84</p> <p>2.12 Important Geometry Concepts / 92</p> <p>Problems / 94</p> <p><b>3 FORCES AND STRESSES 97</b></p> <p>3.1 Equilibrium of Forces / 97</p> <p>3.2 Transformation of Stresses / 100</p> <p>3.3 Equations of Equilibrium / 100</p> <p>3.4 Symmetry of the cauchy Stress Tensor / 102</p> <p>3.5 Virtual Work of the Forces / 103</p> <p>3.6 Deviatoric Stresses / 113</p> <p>3.7 Stress Objectivity / 115</p> <p>3.8 Energy Balance / 119</p> <p>Problems / 120</p> <p><b>4 CONSTITUTIVE EQUATIONS 123</b></p> <p>4.1 Generalized Hooke s Law / 124</p> <p>4.2 Anisotropic Linearly Elastic Materials / 126</p> <p>4.3 Material Symmetry / 127</p> <p>4.4 Homogeneous Isotropic Material / 129</p> <p>4.5 Principal Strain Invariants / 136</p> <p>4.6 Special Material Models for Large Deformations / 137</p> <p>4.7 Linear Viscoelasticity / 141</p> <p>4.8 Nonlinear Viscoelasticity / 155</p> <p>4.9 A Simple Viscoelastic Model for Isotropic Materials / 161</p> <p>4.10 Fluid Constitutive Equations / 162</p> <p>4.11 Navier Stokes Equations / 164</p> <p>Problems / 164</p> <p><b>5 FINITE ELEMENT FORMULATION: LARGE-DEFORMATION, LARGE-ROTATION PROBLEM 167</b></p> <p>5.1 Displacement Field / 169</p> <p>5.2 Element Connectivity / 176</p> <p>5.3 Inertia and Elastic Forces / 178</p> <p>5.4 Equations of Motion / 180</p> <p>5.5 Numerical Evaluation of The Elastic Forces / 188</p> <p>5.6 Finite Elements and Geometry / 193</p> <p>5.7 Two-Dimensional Euler Bernoulli Beam Element / 199</p> <p>5.8 Two-Dimensional Shear Deformable Beam Element / 203</p> <p>5.9 Three-Dimensional Cable Element / 205</p> <p>5.10 Three-Dimensional Beam Element / 206</p> <p>5.11 Thin-Plate Element / 208</p> <p>5.12 Higher-Order Plate Element / 210</p> <p>5.13 Brick Element / 211</p> <p>5.14 Element Performance / 212</p> <p>5.15 Other Finite Element Formulations / 216</p> <p>5.16 Updated Lagrangian and Eulerian Formulations / 218</p> <p>5.17 Concluding Remarks / 221</p> <p>Problems / 223</p> <p><b>6 FINITE ELEMENT FORMULATION: SMALL-DEFORMATION, LARGE-ROTATION PROBLEM 225</b></p> <p>6.1 Background / 226</p> <p>6.2 Rotation and Angular Velocity / 229</p> <p>6.3 Floating Frame of Reference (FFR) / 234</p> <p>6.4 Intermediate Element Coordinate System / 236</p> <p>6.5 Connectivity and Reference Conditions / 238</p> <p>6.6 Kinematic Equations / 243</p> <p>6.7 Formulation of The Inertia Forces / 245</p> <p>6.8 Elastic Forces / 248</p> <p>6.9 Equations of Motion / 250</p> <p>6.10 Coordinate Reduction / 251</p> <p>6.11 Integration of Finite Element and Multibody System Algorithms / 253</p> <p>Problems / 258</p> <p><b>7 COMPUTATIONAL GEOMETRY AND FINITE ELEMENT ANALYSIS 261</b></p> <p>7.1 Geometry and Finite Element Method / 262</p> <p>7.2 ANCF Geometry / 264</p> <p>7.3 Bezier Geometry / 266</p> <p>7.4 B-Spline Curve Representation / 267</p> <p>7.5 Conversion of B-Spline Geometry to ANCF Geometry / 271</p> <p>7.6 ANCF and B-Spline Surfaces / 273</p> <p>7.7 Structural and Nonstructural Discontinuities / 275</p> <p><b>8 PLASTICITY FORMULATIONS 279</b></p> <p>8.1 One-Dimensional Problem / 281</p> <p>8.2 Loading and Unloading Conditions / 282</p> <p>8.3 Solution of the Plasticity Equations / 283</p> <p>8.4 Generalization of The Plasticity Theory: Small Strains / 291</p> <p>8.5 J2 Flow Theory with Isotropic/Kinematic Hardening / 298</p> <p>8.6 Nonlinear Formulation for Hyperelastic Plastic Materials / 312</p> <p>8.7 Hyperelastic Plastic J2 FLOW THEORY / 322</p> <p>Problems / 326</p> <p>REFERENCES 329</p> <p>INDEX 339</p>
Control code
AH33040319
Edition
Third edition.
Extent
350 pages
Form of item
electronic
Governing access note
After 5 minutes Preview, click on &#x32;Request Access&#x33;, fill in a form with your details. If triggered, the book will be loaned and tied to the one user for 1 week, during which time users can read or download as they choose. 4th user request triggers auto-purchase
Isbn
9781119293231
Lccn
2017032713
Media category
computer
Media MARC source
rdamedia
Other physical details
illustrations
Specific material designation
remote

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