## Elasticity of Transversely Isotropic MaterialsThis book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress. |

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### Contents

LXI | 222 |

LXII | 224 |

LXIII | 225 |

LXIV | 228 |

LXV | 230 |

LXVI | 231 |

LXVII | 233 |

LXVIII | 236 |

XII | 30 |

XIII | 33 |

XIV | 38 |

XVI | 51 |

XVII | 54 |

XVIII | 62 |

XIX | 67 |

XX | 71 |

XXI | 75 |

XXII | 79 |

XXIII | 80 |

XXIV | 85 |

XXV | 93 |

XXVII | 99 |

XXIX | 101 |

XXX | 106 |

XXXI | 108 |

XXXII | 112 |

XXXIII | 118 |

XXXIV | 119 |

XXXV | 121 |

XXXVI | 123 |

XXXVII | 133 |

XXXVIII | 141 |

XXXIX | 147 |

XL | 148 |

XLII | 150 |

XLIII | 152 |

XLIV | 154 |

XLV | 158 |

XLVII | 162 |

XLVIII | 165 |

XLIX | 168 |

L | 173 |

LI | 176 |

LII | 183 |

LIII | 189 |

LIV | 192 |

LV | 199 |

LVI | 204 |

LVII | 208 |

LVIII | 214 |

LIX | 217 |

LXIX | 237 |

LXX | 238 |

LXXI | 241 |

LXXII | 247 |

LXXIII | 257 |

LXXIV | 266 |

LXXVI | 275 |

LXXVII | 282 |

LXXVIII | 285 |

LXXIX | 292 |

LXXX | 296 |

LXXXI | 301 |

LXXXII | 310 |

LXXXIII | 313 |

LXXXIV | 314 |

LXXXV | 316 |

LXXXVI | 318 |

LXXXVII | 319 |

LXXXVIII | 321 |

LXXXIX | 324 |

XC | 325 |

XCI | 327 |

XCII | 331 |

XCIII | 334 |

XCIV | 336 |

XCV | 338 |

XCVI | 345 |

XCVIII | 348 |

XCIX | 350 |

C | 356 |

CI | 357 |

CII | 360 |

CIII | 361 |

CIV | 364 |

CVI | 367 |

CVII | 369 |

CVIII | 371 |

CIX | 373 |

CX | 386 |

CXI | 397 |

405 | |

430 | |

### Other editions - View all

Elasticity of Transversely Isotropic Materials Haojiang Ding,Weiqiu Chen,Ling Zhang No preview available - 2009 |

Elasticity of Transversely Isotropic Materials Haojiang Ding,Weiqiu Chen,Ling Zhang No preview available - 2010 |

Elasticity of Transversely Isotropic Materials Haojiang Ding,Weiqiu Chen,Ling Zhang No preview available - 2006 |

### Common terms and phrases

anisotropic axisymmetric Bessel functions boundary conditions breathing mode Cartesian coordinate system Cartesian coordinates Chen class of vibration coefficients constants constitutive equations contact area coordinate system cylindrical coordinates cylindrical shell deformation derived dimensionless Ding displacement functions displacements and stresses equations in Eq exp(i fluid free vibration frequency equation given by Eq half-space Hankel transform Hooke's law interface ISBN IUTAM Symposium held laminated Laplace operator matrix Mechanics method obtain from Eq orthotropic material point force problems radius respectively Section shell theory sin sin sin sinh solid SOLID MECHANICS solution of Eq spherical coordinate systems spherical coordinates spherical harmonics spherical shell spherically isotropic state-space stress components Substituting Eq surface Table tangential transversely isotropic materials variables α α α θ Ω Ω