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Applied elasticity : matrix and tensor analysis of elastic continua /
This updated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap bet...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester : Cambridge :
Horwood ; Woodhead Publishing,
cop. 2002.
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| Edición: | 2nd ed. |
| Colección: | Woodhead Publishing series in civil and structural engineering.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; About the Author; Applied Elasticity: Matrix and Tensor Analysis of Elastic Continua; Copyright Page; Table of Contents; Chapter 1. Matrix methods; 1.1 Summary of matrix properties; 1.2 Vector representation; 1.3 Coordinate transformation; 1.4 Differential operators; 1.5 The strain matrix; 1.6 The stress matrix; 1.7 Isotropic elasticity; 1.8 Linear anisotropic behaviour; 1.9 Engineering theory of beams; 1.10 Engineering theory of plates; 1.11 Applications and worked examples; Problems; Chapter 2. Cartesian tensors; 2.1 Vector and matrix representation.
- 2.2 Coordinate transformation2.3 Differentiation; 2.4 Representation of strain; 2.5 Representation of stress; 2.6 Thermoelastic behaviour; 2.7 Isotropic materials; 2.8 Applications and worked examples; Problems; Chapter 3. Curvilinear tensors; 3.1 Base vectors; 3.2 Metric tensors; 3.3 Higher order tensors; 3.4 Vector products; 3.5 Orthogonal coordinate systems; 3.6 Covariant differentiation; 3.7 Strain and stress tensors; 3.8 Elastic behaviour; 3.9 Membrane theory of thin shells; 3.10 Applications and worked examples; Problems; Chapter 4. Large deformation theory.
- 4.1 Lagrangean and Eulerian strain4.2 Material coordinates; 4.3 The state of stress; 4.4 Elementary solutions; 4.5 Incompressible materials; 4.6 Stability of continua; Problems; Appendix A1: Formulae for orthogonal coordinate systems; A1.1 Cylindrical coordinates; A1.2 Spherical coordinates; A1.3 Curvilinear anisotropy; Appendix A2: Harmonic and biharmonic functions; A2.1 The two-dimensional case; A2.2 The three-dimensional case; Appendix A3: Equations in vector form; A3.1 The Papkovich-Neuber functions; A3.2 The wave equations; A3.3 Gradient, divergence and curl for curvilinear coordinates.
- A3.4 The cone problemAppendix A4: Direct tensor notation; Appendix A5: Polar decomposition; Appendix A6: Cosserat continua and micropolar elasticity; Appendix A7: Minimal curves and geodesics; A7.1 Minimal curves; A7.2 Geodesics; A7.3 Relativity; Answers to problems; Further reading and references; Index.