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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Printed edition: |

Material Type: | Bibliographic data, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Robert G Payton |

ISBN: | 9789400968660 9400968663 9789400968684 940096868X |

OCLC Number: | 840306215 |

Description: | 1 online resource (208 pages). |

Contents: | 1. Basic equations -- 1. The Linearized Equations of Motion of an Anisotropic Elastic Solid -- 2. The Effect on the Equations of Motion of a Coordinate Rotation -- 3. The Elasticities for a Transversely Isotropic Solid -- 4. The Constraints on the c??'s of Positive Definiteness -- 5. The Constraints on the c??'s of Strong Ellipticity -- 6. The Uncoupled Equations of Motion in Two-Dimensions -- 7. The Uncoupled Equations of Motion in Three-Dimensions -- 8. Some Other Transversely Isotropic Continuum Theories -- 2. Wave front shape caused by a point source in unbounded media -- I Two Space Dimensions -- II Three Space Dimensions -- 3. Green's tensor for the displacement field in unbounded media -- I Two Space Dimensions -- II Three Space Dimensions -- 4. Surface motion of a two-dimensional half-space (Lamb's problem) -- 1. Formulation of the Problem -- 2. Integral Transform Representation of the Solution When the Fourier Inversion Path is Free of Branch Points -- 3. Transform Inversion for Materials Satisfying Condition (1) of Table 11 -- 4. Transform Inversion for Materials Satisfying Condition (2) of Table 11 -- 5. Transform Inversion for Materials Satisfying Condition (3) of Table 11 -- 6. Graph of the Surface Displacements for Some Hexagonal Crystals -- 5. Epicenter and epicentral-axis motion of a three-dimensional half-space -- 1. Problem Formulation for the Epicenter Motion of a Half-Space Due to the Sudden Application of a Buried Point Source -- 2. Transform Inversion at the Epicenter for Materials Satisfying Condition (1) of Table 11 -- 3. Discussion of the?-Plane Branch Points and the Cagniard Path When the Real?-Axis is Not Free of Branch Points -- 4. Transform Inversion at the Epicenter for Materials Satisfying Conditions (2) and (3) of Table 11 -- 5. Discussion of the Epicenter Vertical Displacement for Some Hexagonal Crystals -- 6. Vertical Displacement Along the Epicentral-Axis Due to a Surface Point Load Acting Normal to the Surface -- 7. Body Forces Equivalent to Internal Discontinuities in an Anisotropic Elastic Solid -- References -- Author index. |

Series Title: | Mechanics of elastic and inelastic solids, 4. |

Responsibility: | by Robert G. Payton. |

### Abstract:

The range of the parameter variation is limited by stability considerations in the case of small deformations super- posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids.
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