Call number:
M 16.90059
Description / Table of Contents:
This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks.There are three central themes running throughout the presentation: ? Rocks as the prototypical material for defining a class of materials? The PM space model as a useful theoretical construct for developing a phenomenology? A sequence of refined analysis methods. This suite of
Type of Medium:
Monograph available for loan
Pages:
XIII, 395 S.
,
ill., maps
ISBN:
9783527407033
DOI:
10.1002/9783527628261
Classification:
Planetary Interiors
Language:
English
Note:
Nonlinear Mesoscopic Elasticity; Contents; Preface; Acknowledgements; 1 Introduction; 1.1 Systems; 1.2 Examples of Phenomena; 1.3 The Domain of Exploration; 1.4 Outline; References; 2 Microscopic/Macroscopic Formulation of the Traditional Theory of Linear and Nonlinear Elasticity; 2.1 Prefatory Remarks; 2.2 From Microscopic to Continuum; 2.2.1 A Microscopic Description; 2.2.2 Microscopic Description and Thermodynamics; 2.2.3 From Microscopic Model to Continuum Elasticity; 2.3 Continuum Elasticity and Macroscopic Phenomenology; 2.3.1 Displacement, Strain, and Stress.
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2.3.2 Dynamics of the Displacement Field2.3.3 Coupling Continuum Elasticity to Auxiliary Fields; 2.3.4 Inhomogeneous Elastic Systems; 2.4 Thermodynamics; 2.4.1 Thermodynamic Derivatives; 2.4.2 Series Expansion for ES; 2.4.3 Series Expansion for EZ; 2.4.4 Series Expansion for FT; 2.4.5 Assemble the Pieces; 2.5 Energy Scales; References; 3 Traditional Theory of Nonlinear Elasticity, Results; 3.1 Quasistatic Response; Linear and Nonlinear; 3.1.1 Quasistatic Response; Linear; 3.1.2 Quasistatic Response; Nonlinear; 3.2 Dynamic Response; Linear; 3.3 Quasistatic/Dynamic Response; Nonlinear.
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3.4 Dynamic Response Nonlinear; 3.4.1 Basic Equations; 3.4.2 Wave Propagation; 3.4.3 Resonant Bar; 3.5 Exotic Response; Nonlinear; 3.6 Green Functions; 3.6.1 Green Function, Free Space; 3.6.2 Green Function, Resonant Bar; References; 4 Mesoscopic Elastic Elements and Macroscopic Equations of State; 4.1 Background; 4.2 Elastic Elements; 4.2.1 Hertz-Mindlin Contacts; 4.2.2 Hysteretic Hertzian Contacts; 4.2.3 Hertzian Asperities; 4.2.4 Van der Waals Surfaces; 4.2.5 Other; 4.3 Effective Medium Theory; 4.4 Equations of State; Examples; 4.4.1 Hertzian Contacts; 4.4.2 Van der Waals Surfaces.
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4.4.3 Generalization and CaveatsReferences; 5 Auxiliary Fields; 5.1 Temperature; 5.2 Saturation; 5.2.1 Saturation/Strain Coupling; 5.2.2 Saturation/Strain Response; 5.3 The Conditioning Field, X; References; 6 Hysteretic Elastic Elements; 6.1 Finite Displacement Elastic Elements; Quasistatic Response; 6.1.1 Finite Displacement Elastic Elements: The Model; 6.1.2 Finite Displacement Elastic Element: Implementing the Model; 6.2 Finite Displacement Elastic Elements: Inversion; 6.3 Finite Displacement Elastic Elements: Dynamic Response; 6.3.1 Finite Displacement Elastic Element: Resonant Bar.
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6.3.2 Finite Displacement Elastic Element: Wave Mixing6.4 Models with Hysteresis; 6.5 Summary; 6.6 Models with Hysteresis, Detail; 6.6.1 Hertzian Contacts; 6.6.2 The Masing Rules; 6.6.3 The Endochronic Formalism; References; 7 The Dynamics of Elastic Systems; Fast and Slow; 7.1 Fast/Slow Linear Dynamics; 7.1.1 Quasistatic Response; 7.1.2 AC Response; 7.2 Fast Nonlinear Dynamics; 7.3 Auxiliary Fields and Slow Dynamics; 7.3.1 X = The Conditioning Field; 7.3.2 X = Temperature; 7.4 Summary; References; 8 Q and Issues of Data Modeling/Analysis; 8.1 Attenuation in Linear Elastic Systems.
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8.1.1 Wave Vector Dispersion.
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