## Abstract

A transient plane strain analysis of diffraction of plane waves by a semi-infinite crack in an unbounded orthotropic or transversely isotropic solid is performed. The waves approach the crack at a general oblique angle, and are of two types, a normal stress pulse and a shear stress pulse, i.e. a P- and an SV-wave, respectively, in the isotropic limit. A class of materials that includes this limit and beryl, cobalt, ice, magnesium and titanium is chosen for illustration, and exact solutions are obtained for the initial/mixed boundary value problems. In contrast to related work, a factorization in the Laplace transform space is used to simplify the solution forms and the Wiener-Hopf component of the solution process, and to yield a more compact expression for the Rayleigh wave speed. Calculations for this speed, the two allowable, direction-dependent, plane wave speeds, and quantities related to the Mode I and Mode II dynamic stress intensity factors are given for the five anisotropic materials mentioned.

Original language | English |
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Pages (from-to) | 5393-5408 |

Number of pages | 16 |

Journal | International Journal of Solids and Structures |

Volume | 39 |

Issue number | 21-22 |

DOIs | |

State | Published - Oct 23 2002 |

## Keywords

- Anisotropy
- Crack
- Diffraction
- Rayleigh speed
- Transient problem
- Wave propagation

## ASJC Scopus subject areas

- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics