| Description |
1 online resource (344 pages) |
| Contents |
""Cover""; ""Title""; ""Copyright""; ""Foreword""; ""Contents""; ""Preface""; ""Acknowledgments""; ""Chapter 1 Introduction""; ""1.1 What is Mechanics?""; ""1.2 Continuum Mechanics""; ""1.3 An Example of an Ad-Hoc Approach""; ""Chapter 2 Mathematical Preliminaries""; ""2.1 Summation Convention, Dummy Indices""; ""2.2 Free Indices""; ""2.3 Kronecker Delta""; ""2.4 Index Notation""; ""2.5 Permutation Symbol""; ""2.6 Manipulations with the Indicial Notations""; ""2.7 Translation and Rotation of Coordinate Axes""; ""2.8 Tensors""; ""2.9 The Divergence Theorem"" |
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""2.10 Differentiation of Tensor Fields""""References""; ""Exercises""; ""Chapter 3 Kinematics""; ""3.1 Description of Motion of a Continuum""; ""3.2 Referential and Spatial Descriptions""; ""3.3 Displacement Vector""; ""3.4 Restrictions on Continuous Deformation of a Deformable Body""; ""3.5 Material Derivative""; ""3.6 Finding Acceleration of a Particle from a Given Velocity Field""; ""3.7 Deformation Gradient""; ""3.8 Strain Tensors""; ""3.9 Principal Strains""; ""3.10 Deformation of Areas and Volumes""; ""3.11 Mass Density, Equation of Continuity"" |
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""3.12 Rate of Deformation, Strain-Rate Tensor, Spin""""3.13 Polar Decomposition""; ""3.14 Infinitesimal Deformations""; ""3.15 Infinitesimal Deformations Superimposed upon Finite Deformations""; ""3.16 Volumetric and Deviatoric Strains""; ""3.17 Transformation of Tensors Under a Change of Bases""; ""3.18 Plane Strain Deformation""; ""Appendix A: Solution of a Cubic Equation""; ""References""; ""Exercises""; ""Chapter 4 The Balance Laws, Stress Tensors""; ""4.1 Kinetics of a Continuous Media""; ""4.2 Traction Boundary Conditions""; ""4.3 The Nominal Stress Tensor"" |
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""4.4 Transformation of Stress Tensors Under the Rotation of Axes""""4.5 Principal Stresses; Maximum Shear Stress""; ""4.6 Relations Among Stress Tensors for Infinitesimal Deformations""; ""4.7 Plane Stress""; ""4.8 Deviatoric Stress, von-Mises Stress""; ""4.9 Balance of Energy""; ""4.10 Entropy Inequality, The Clausius-Duhem Inequality""; ""4.11 Summary of Equations Governing Deformations of a Body""; ""4.12 Nonuniqueness of Solutions for Static Problems""; ""Appendix B: The Transport Theorem""; ""Exercises""; ""Chapter 5 Constitutive Relations""; ""5.1 Introductory Remarks"" |
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""5.2 Thermoelastic Material""""5.3 Principle of Material Objectivity""; ""5.4 Linear Constitutive Relations for Finite Deformations of a Thermoelastic Body""; ""5.5 Isotropic Thermoelastic Materials""; ""5.6 Comparison of Results from Four Linear Constitutive Relations in Isotropic Finite Elasticity""; ""5.7 Transversely Isotropic Thermoelastic Materials""; ""5.8 Orthotropic Thermoelastic Materials""; ""5.9 Coincidence of Principal Axes of Stress and Strain in Isotropic Elastic Materials"" |
| Notes |
""5.10 Coincidence of Principal Axes of Stress and Strain in Transversely Isotropic Elastic Materials"" |
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Print version record |
| Subject |
Continuum mechanics.
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|
Continuum mechanics
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| Form |
Electronic book
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| ISBN |
9781600860485 |
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1600860486 |
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