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Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]]
| Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
| Autore | Newman William I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
| Disciplina | 531 |
| Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
| ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
| Record Nr. | UNINA-9910461587403321 |
Newman William I.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]]
| Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
| Autore | Newman William I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
| Disciplina | 531 |
| Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
| ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
| Record Nr. | UNINA-9910790281003321 |
|
Newman William I.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||