Steady Waves in an Anisotropic Elastic Layer Attached to a Half-Space or Between Two Half-Spaces—A Generalization of Love Waves and Stoneley Waves

2009 ◽  
Vol 14 (1-2) ◽  
pp. 52-71 ◽  
Author(s):  
T.C.T. Ting
Keyword(s):  
Half Space ◽  
Elastic Layer ◽  
Love Waves ◽  
Stoneley Waves ◽  
Anisotropic Elastic

Love Waves in a Piezoelectric Half-Space with an Anisotropic Elastic Layer

2011 ◽  
Vol 117-119 ◽  
pp. 1160-1163 ◽  
Author(s):  
Qian Yang ◽  
Yan Ping Kong ◽  
Jin Xi Liu
Keyword(s):  
Phase Velocity ◽  
Half Space ◽  
Orthotropic Material ◽  
Elastic Layer ◽  
Transversely Isotropic ◽  
Love Waves ◽  
Dispersion Characteristics ◽  
Material Anisotropy ◽  
Symmetric Plane ◽  
Anisotropic Elastic

This work is concerned with the dispersion characteristics of Love waves propagating in a layered structure consisting of an anisotropic elastic layer and a piezoelectric half-space. The layer processes one symmetric plane, while the half-space is transversely isotropic. The explicit dispersion equation is derived. As an example, an inclined orthotropic material is chosen as an elastic layer to reveal the effect of material anisotropy on the dispersion behaviors. The numerical results show that the phase velocity is strongly influenced by the anisotropic degree.

scholarly journals Nonlinear anharmonic disturbances of elastic surface Love waves under rigid fixation of the waveguide

2018 ◽  
Vol 32 ◽  
pp. 48-55
Author(s):  
Nadiya Zhogoleva
Keyword(s):  
Single Crystal ◽  
Half Space ◽  
Love Waves ◽  
Rigid Fixation ◽  
Mechanical Contact ◽  
Bottom Edge ◽  
Cubic System ◽  
Anisotropic Elastic ◽  
Frequency Dependences ◽  
Single Crystal Layer

The model of geometrically and physically nonlinear deformation of anisotropic elastic medium is used in this work. A theoretical numerical-analytic solution of the boundary value problem of determining nonlinear anharmonic disturbances that are generated because of generalised Love wave propagation in a waveguide in the form of a single-crystal layer of the m3m class of a cubic system on the half-space of a single-crystal material of m3m class of a cubic system is constructed. The elastic layer on the top edge is rigidly fixed and on the bottom edge has ideal mechanical contact with the elastic halfspace. Numerical investigations have been carried out for a combination of waveguide materials: a layer of sodium chloride on the silicon half-space. Amplitude-frequency dependences for kinematic characteristics of elastic wave displacements of Love waves and their nonlinear second harmonics are researched and generalized.

SH-Wave Scattering From the Interface Defect

2017 ◽  
Vol 5 (1) ◽  
pp. 45-50
Author(s):  
Myron Voytko ◽  
◽  
Yaroslav Kulynych ◽  
Dozyslav Kuryliak
Keyword(s):  
Half Space ◽  
Wave Diffraction ◽  
Scattered Field ◽  
Wave Scattering ◽  
Elastic Layer ◽  
Analytical Form ◽  
Structure Parameters ◽  
Sh Wave ◽  
Interface Defect ◽  
Hopf Method

The problem of the elastic SH-wave diffraction from the semi-infinite interface defect in the rigid junction of the elastic layer and the half-space is solved. The defect is modeled by the impedance surface. The solution is obtained by the Wiener- Hopf method. The dependences of the scattered field on the structure parameters are presented in analytical form. Verifica¬tion of the obtained solution is presented.

Dispersion of Love waves in prestressed double-layered medium over a gravitating half-space

2020 ◽  
Vol 13 (13) ◽  
Author(s):  
Bishwanath Prasad ◽  
Santimoy Kundu ◽  
Prakash Chandra Pal ◽  
Parvez Alam
Keyword(s):  
Half Space ◽  
Layered Medium ◽  
Love Waves

Bounds on the Maximum Contact Stress of an Indented Elastic Layer

1971 ◽  
Vol 38 (3) ◽  
pp. 608-614 ◽  
Author(s):  
Y. C. Pao ◽  
Ting-Shu Wu ◽  
Y. P. Chiu
Keyword(s):  
Half Space ◽  
Contact Stress ◽  
Elastic Layer ◽  
Theory Of Elasticity ◽  
Contact Conditions ◽  
Practical Applications ◽  
Method Of Solution ◽  
Elastic Layers ◽  
Maximum Contact ◽  
Contact Stress Distribution

This paper is concerned with the plane-strain problem of an elastic layer supported on a half-space foundation and indented by a cylinder. A study is presented of the effect of the contact condition at the layer-foundation interface on the contact stresses of the indented layer. For the general problem of elastic indenter or elastic foundation, the integral equations governing the contact stress distribution of the indented layer derived on the basis of two-dimensional theory of elasticity are given and a numerical method of solution is formulated. The limiting contact conditions at the layer-foundation interface are then investigated by considering two extreme cases, one with the indented layer in frictionless contact with the half space and the other with the indented layer rigidly adhered to the half space. Graphs of the bounds on the maximum normal stress occurring in indented elastic layers for the cases of rigid cylindrical indenter and rigid half-space foundation are obtained for possible practical applications. Some results of the elastic indenter problem are also presented and discussed.

scholarly journals Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials

2015 ◽  
Vol 40 (2) ◽  
pp. 273-281 ◽  
Author(s):  
Piotr Kiełczyński ◽  
Marek Szalewski ◽  
Andrzej Balcerzak ◽  
Krzysztof Wieja
Keyword(s):  
Group Velocity ◽  
Half Space ◽  
Functionally Graded Materials ◽  
Integral Formula ◽  
Liouville Problem ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Love Waves ◽  
Graded Materials ◽  
Sturm Liouville

AbstractThis paper presents a theoretical study of the propagation behaviour of surface Love waves in nonhomogeneous functionally graded elastic materials, which is a vital problem in acoustics. The elastic properties (shear modulus) of a semi-infinite elastic half-space vary monotonically with the depth (distance from the surface of the material). Two Love wave waveguide structures are analyzed: 1) a nonhomogeneous elastic surface layer deposited on a homogeneous elastic substrate, and 2) a semi-infinite nonhomogeneous elastic half-space. The Direct Sturm-Liouville Problem that describes the propagation of Love waves in nonhomogeneous elastic functionally graded materials is formulated and solved 1) analytically in the case of the step profile, exponential profile and 1cosh2type profile, and 2) numerically in the case of the power type profiles (i.e. linear and quadratic), by using two numerical methods: i.e. a) Finite Difference Method, and b) Haskell-Thompson Transfer Matrix Method.The dispersion curves of phase and group velocity of surface Love waves in inhomogeneous elastic graded materials are evaluated. The integral formula for the group velocity of Love waves in nonhomogeneous elastic graded materials has been established. The results obtained in this paper can give a deeper insight into the nature of Love waves propagation in elastic nonhomogeneous functionally graded materials.

scholarly journals Propagation of Love waves in an elastic layer with void pores

Sadhana ◽  
2004 ◽  
Vol 29 (4) ◽  
pp. 355-363 ◽  
Author(s):  
S. Dey ◽  
S. Gupta ◽  
A. K. Gupta
Keyword(s):  
Elastic Layer ◽  
Love Waves ◽  
Void Pores
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