### Abstract

The paper analyzes numerically the passages to the limit in the dynamic problem for a penny-shaped crack at the interface between dissimilar linear elastic, homogeneous, isotropic materials as either the frequency of harmonic load or the difference between the properties of the materials decreases. It is shown that as the frequency decreases, the solution of the dynamic problem tends to that of the static problem, and as the physical and mechanical properties of the materials become less different, the original problem goes into the dynamic problem for a crack in a homogeneous body.

Original language | English |
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Pages (from-to) | 739-746 |

Number of pages | 8 |

Journal | International Applied Mechanics |

Volume | 44 |

Issue number | 7 |

DOIs | |

Publication status | Published - Jul 2008 |

### Keywords

- interface crack
- harmonic load
- boundary integral equations
- passage to the limit
- boundary integral-equations
- elastodynamics
- TIP

### Cite this

**Passages to the limit in the dynamic problem for a crack at the interface between elastic media.** / Menshykov, V.; Menshykov, Oleksandr; Guz, Igor.

Research output: Contribution to journal › Article

*International Applied Mechanics*, vol. 44, no. 7, pp. 739-746. https://doi.org/10.1007/s10778-008-0087-1

}

TY - JOUR

T1 - Passages to the limit in the dynamic problem for a crack at the interface between elastic media

AU - Menshykov, V.

AU - Menshykov, Oleksandr

AU - Guz, Igor

PY - 2008/7

Y1 - 2008/7

N2 - The paper analyzes numerically the passages to the limit in the dynamic problem for a penny-shaped crack at the interface between dissimilar linear elastic, homogeneous, isotropic materials as either the frequency of harmonic load or the difference between the properties of the materials decreases. It is shown that as the frequency decreases, the solution of the dynamic problem tends to that of the static problem, and as the physical and mechanical properties of the materials become less different, the original problem goes into the dynamic problem for a crack in a homogeneous body.

AB - The paper analyzes numerically the passages to the limit in the dynamic problem for a penny-shaped crack at the interface between dissimilar linear elastic, homogeneous, isotropic materials as either the frequency of harmonic load or the difference between the properties of the materials decreases. It is shown that as the frequency decreases, the solution of the dynamic problem tends to that of the static problem, and as the physical and mechanical properties of the materials become less different, the original problem goes into the dynamic problem for a crack in a homogeneous body.

KW - interface crack

KW - harmonic load

KW - boundary integral equations

KW - passage to the limit

KW - boundary integral-equations

KW - elastodynamics

KW - TIP

U2 - 10.1007/s10778-008-0087-1

DO - 10.1007/s10778-008-0087-1

M3 - Article

VL - 44

SP - 739

EP - 746

JO - International Applied Mechanics

JF - International Applied Mechanics

SN - 1063-7095

IS - 7

ER -