Existence of Second Slip Waves in Anisotropic Elastic Media

Wang, Litian; Lothe, J.

doi:10.1016/b978-0-7506-1877-9.50101-3

Cited by 3 publications

(16 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then (29b) becomes artificial; there is no need to require that the interface traction N(η) vanish in the absence of separation. This case corresponds simply to slip waves without separation, as studied in [10,11].…”

Section: Existence Of Slip Pulse In Presence Of Separationmentioning

confidence: 96%

“…The last two cases admit no subsonic Rayleigh waves. One may find that the impedance tensor Z also plays an important role in interface-wave and slip-wave theories in anisotropic elasticity [5,10,11]. …”

Section: Stroh Sextic Formalism and Surface Impedance Tensormentioning

confidence: 99%

“…The general theoretical considerations are mainly based on the Stroh sextic formalism. The symbols used for vectors and matrices in the present paper will agree with the usage in [10,11]. Superscripts 1 and 2 will be used to refer to the upper and lower half-spaces, respectively.…”

Section: Stroh Sextic Formalism and Surface Impedance Tensormentioning

confidence: 99%

“…This fact implies that we must renounce a complex form of wave fields in the following analysis. By taking the real parts of (9) and (10) and considering (11) and (12), the displacements and tractions at the interface may be written as u (1) …”

Section: Reduction Of the Problem To A Set Of Dual Integral Equationsmentioning

confidence: 99%

“…They revealed that two slip waves may be found in some cases, and that the appearance of the second slip wave is solely due to elastic anisotropy. Wang and Lothe [11] examined the second slip wave in details for the case of two identical semi-infinite anisotropic media with the same orientation. In all of their investigations, the applied pressure was assumed large enough, or the waves were relatively weak so that the separation of the interface was impossible.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Slip pulse along an interface between two anisotropic elastic half-spaces in sliding contact with separation

Wang

2006

Arch Appl Mech

View full text Add to dashboard Cite

The Stroh sextic formalism, together with Fourier analysis and the singular integral equation technique, is used to study the propagation of a possible slip pulse in the presence of local separation at the interface between two contact anisotropic solids. The existence of such a pulse is discussed in detail. It is found that the pulse may exist if at least one medium admits Rayleigh wave below the minimum limiting speed of the two media. The pulse-propagating speed is not fixed; it can be of any value in some regions between the lower Rayleigh wave speed and minimum limiting speed. These speed regions depend on the existence of the first and second slip-wave solutions without interfacial separation studied by Barnett, Gavazza and Lothe (Proc. R. Soc. Lond. 1988, A415, 389-419). The pulse has no free amplitude directly but involves the arbitrary size of the separation zone that depends on the intensity of the motion. The interface normal traction and the particle velocities involve a square-root singularity at both ends of the separation zones that act as energy source and sink.

show abstract

Section: Existence Of Slip Pulse In Presence Of Separationmentioning

confidence: 96%

Section: Stroh Sextic Formalism and Surface Impedance Tensormentioning

confidence: 99%

Section: Stroh Sextic Formalism and Surface Impedance Tensormentioning

confidence: 99%

Section: Reduction Of the Problem To A Set Of Dual Integral Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations