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

http://repository.vnu.edu.vn/handle/VNU_123/27495

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 initially 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 in 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 are considered together independently with a judicious choice of material parameters different features are found that don’t appear in the separate finite deformation or initial stress situations on their own.

Title: 

	The effect of initial stress on the propagation of surface waves in a layered half-space
Authors:	N., T. Nam Merodio, J. Ogden, R. W.
Keywords:	Nonlinear elasticity Secular equation Surface waves Initial stress
Issue Date:	2016
Publisher:	H. : Đại học Quốc gia Hà Nội
Citation:	ISIKNOWLEDGE
Abstract:	CCEPTED MA 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 initially 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 in 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 are considered together independently with a judicious choice of material parameters different features are found that don’t appear in the separate finite deformation or initial stress situations on their own.
Description:	INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES Volume: 88-89 Pages: 88-100 ; TNS06431
URI:	http://repository.vnu.edu.vn/handle/VNU_123/27495
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science