Notes on continuum mechanics
This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscrimin...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Dordrecht :
Springer Netherlands : Imprint: Springer
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2013. |
| Col·lecció: | Lecture Notes on Numerical Methods in Engineering and Sciences
|
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Notes on Continuum Mechanics, Eduardo W. V. Chaves, Barcelona, CIMNE/Springer Netherlands, 2013, 1 vol. (XV-673 p.), Lecture Notes on Numerical Methods in Engineering and Sciences, 978-94-007-5985-5 |
Taula de continguts:
- Preface Abbreviations Operators And Symbols Si-Units Introduction 1 Mechanics 2 What Is Continuum Mechanics 3 Scales Of Material Studies 4 The Initial Boundary Value Problem (Ibvp) 1 Tensors 1.1 Introduction 1.2 Algebraic Operations With Vectors 1.3 Coordinate Systems 1.4 Indicial Notation 1.5 Algebraic Operations With Tensors 1.6 The Tensor-Valued Tensor Function 1.7 The Voigt Notation 1.8 Tensor Fields 1.9 Theorems Involving Integrals Appendix A: A Graphical Representation Of A Second-Order Tensor A.1 Projecting A Second-Order Tensor Onto A Particular Direction A.2 Graphical Representation Of An Arbitrary Second-Order Tensor A.3 The Tensor Ellipsoid A.4 Graphical Representation Of The Spherical And Deviatoric Parts 2 Continuum Kinematics 2.1 Introduction 2.2 The Continuous Medium 2.3 Description Of Motion 2.4 The Material Time Derivative 2.5 The Deformation Gradient 2.6 Finite Strain Tensors 2.7 Particular Cases Of Motion 2.8 Polar Decomposition Of F 2.9 Area And Volume Elements Deformation 2.10 Material And Control Domains 2.11 Transport Equations 2.12 Circulation And Vorticity 2.13 Motion Decomposition: Volumetric And Isochoric Motions 2.14 The Small Deformation Regime 2.15 Other Ways To Define Strain 3 Stress 3.1 Introduction 3.2 Forces 3.3 Stress Tensors 4 Objectivity Of Tensors 4.1 Introduction 4.2 The Objectivity Of Tensors 4.3 Tensor Rates 5 The Fundamental Equations Of Continuum Mechanics 5.1 Introduction 5.2 Density