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

Tiêu đềThe effect of intial stress on the propagation of surface waves in a layered half-space
Loại công bốJournal Article
Năm xuất bản2016
Tác giảNam, NThi, Merodio, J, Ogden, RW, Vinh, PChi
Tạp chíInternational Jouranl of Solids and Structures
Tập88-89
Trang88-100
Tóm tắt

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.