The effect of initial stress on the propagation of surface waves in a layered half-space. (15th June 2016)

• Record Type: Journal Article
• Authors: Nam, N.T.; Merodio, J.; Ogden, R.W.; Vinh, P.C.
• Is Part Of: International journal of solids and structures. Volume 88/89(2016)
• Page Start: 88
• Page End: 100
• Publication Date: 2016-06-15
• Subjects: Nonlinear elasticity -- Initial stress -- Surface waves -- Secular equation; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.03.019
• Languages: English
• ISSNs: 0020-7683

Abstract

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 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 do not appear in the separate finite deformation or initial stress situations on their own.