Title | The effect of intial stress on the propagation of surface waves in a layered half-space |

Publication Type | Journal Article |

Year of Publication | 2016 |

Authors | Nam, NThi, Merodio, J, Ogden, RW, Vinh, PChi |

Journal | International Jouranl of Solids and Structures |

Volume | 88-89 |

Pagination | 88-100 |

Abstract | In this paper the propagation of small amplitude surface waves guided by a layer with a finite thickness on an incompressible half-space is studied. The layer and half-space are both assumed to be intially stressed. The combined effect of initial stress and finite deformation on the speed of Rayleigh waves is analyzed and illustrated graphically. With a suitable simple choice of constitutive law that includes initial stress, it is shown that many cases, as is to be expected, the effect of a finite deformation (with an associated pre-stress) is very similar to that of an initial stress (without an accompanying finite deformation). However, by contrast, when the finite deformation and initial stress and considered together independently with a judicious choice of material parameters different features are found that do not appear in the separate finite deformation or initial stress situations on their own. |