### Abstract

Original language | Undefined |
---|---|

Pages (from-to) | 161-168 |

Journal | Rheologica acta |

Volume | 16 |

DOIs | |

Publication status | Published - 1977 |

### Keywords

- IR-56157

### Cite this

*Rheologica acta*,

*16*, 161-168. https://doi.org/10.1007/BF01527913

}

*Rheologica acta*, vol. 16, pp. 161-168. https://doi.org/10.1007/BF01527913

**Simple wave interaction of an elastic string.** / Broer, L.J.F.; van Groesen, Embrecht W.C.

Research output: Contribution to journal › Article › Academic

TY - JOUR

T1 - Simple wave interaction of an elastic string

AU - Broer, L.J.F.

AU - van Groesen, Embrecht W.C.

PY - 1977

Y1 - 1977

N2 - The equations for the two-dimensional motion of a completely flexible elastic string can be derived from a Lagrangian. The equations of motion possess four characteristic velocities, to which the following four simple wave solutions correspond: leftward and rightward propagating longitudinal and transverse waves. The latter are exceptional (constant shape). By expanding the solution about a steady solution the interaction of simple waves may be studied. A typical result is the following: As a consequence of their interaction two transverse waves running into opposite directions emit a longitudinal wave and undergo themselves a translation over a finite distance but remain otherwise unchanged. The results are also valuable for a full comprehension of the interaction process of simple waves on inextensible strings.

AB - The equations for the two-dimensional motion of a completely flexible elastic string can be derived from a Lagrangian. The equations of motion possess four characteristic velocities, to which the following four simple wave solutions correspond: leftward and rightward propagating longitudinal and transverse waves. The latter are exceptional (constant shape). By expanding the solution about a steady solution the interaction of simple waves may be studied. A typical result is the following: As a consequence of their interaction two transverse waves running into opposite directions emit a longitudinal wave and undergo themselves a translation over a finite distance but remain otherwise unchanged. The results are also valuable for a full comprehension of the interaction process of simple waves on inextensible strings.

KW - IR-56157

U2 - 10.1007/BF01527913

DO - 10.1007/BF01527913

M3 - Article

VL - 16

SP - 161

EP - 168

JO - Rheologica acta

JF - Rheologica acta

SN - 0035-4511

ER -