Book contents
- Frontmatter
- Contents
- Preface
- 1 Granular Materials as Soft Solids
- 2 Mechanical Behaviour of Soil: Experimental Results
- 3 Mechanical Behaviour of Soil: Intuitively
- 4 Vectors and Tensors
- 5 Fields
- 6 Deformation
- 7 Stress
- 8 Conservation Laws (Balance Equations)
- 9 Internal Friction and Shear Strength
- 10 Collapse
- 11 Constitutive Equations
- 12 Elasticity
- 13 ElasticWaves
- 14 Plasticity Theory
- 15 Hypoplasticity
- 16 Barodesy
- 17 Uniqueness
- 18 Symmetry
- 19 Interaction with Water
- 20 Computing in Soil Mechanics
- 21 Outlook
- References
- Index
12 - Elasticity
Published online by Cambridge University Press: 14 July 2022
Book contents
- Frontmatter
- Contents
- Preface
- 1 Granular Materials as Soft Solids
- 2 Mechanical Behaviour of Soil: Experimental Results
- 3 Mechanical Behaviour of Soil: Intuitively
- 4 Vectors and Tensors
- 5 Fields
- 6 Deformation
- 7 Stress
- 8 Conservation Laws (Balance Equations)
- 9 Internal Friction and Shear Strength
- 10 Collapse
- 11 Constitutive Equations
- 12 Elasticity
- 13 ElasticWaves
- 14 Plasticity Theory
- 15 Hypoplasticity
- 16 Barodesy
- 17 Uniqueness
- 18 Symmetry
- 19 Interaction with Water
- 20 Computing in Soil Mechanics
- 21 Outlook
- References
- Index
Summary
The general definition of elasticity is given, and as a special case the linear elasticity with Hooke’s law, is presented together with its derivation on the basis of the Cayley–Hamilton theorem. Some applications of elasticity theory in soil mechanics are presented.
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- A Primer on Theoretical Soil Mechanics , pp. 88 - 91Publisher: Cambridge University PressPrint publication year: 2022