### Abstract

Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green's functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.

Original language | English (US) |
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Pages (from-to) | 988-995 |

Number of pages | 8 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 58 |

Issue number | 4 |

State | Published - Dec 1991 |

### Fingerprint

### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials

### Cite this

*Journal of Applied Mechanics, Transactions ASME*,

*58*(4), 988-995.

**Dynamic response of an orthotropic half-space with a subsurface crack. In-plane case.** / Karim, M. R.; Kundu, Tribikram.

Research output: Contribution to journal › Article

*Journal of Applied Mechanics, Transactions ASME*, vol. 58, no. 4, pp. 988-995.

}

TY - JOUR

T1 - Dynamic response of an orthotropic half-space with a subsurface crack. In-plane case

AU - Karim, M. R.

AU - Kundu, Tribikram

PY - 1991/12

Y1 - 1991/12

N2 - Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green's functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.

AB - Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green's functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.

UR - http://www.scopus.com/inward/record.url?scp=0026394465&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026394465&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026394465

VL - 58

SP - 988

EP - 995

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 4

ER -