SH waves in anisotropic (monoclinic) media

Ilyashenko, A. V.; Kuznetsov, S. V.

doi:10.1007/s00033-018-0916-y

Cited by 40 publications

(5 citation statements)

References 15 publications

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“…The necessity to protect construction sites from action of surface acoustic waves (SAWs) among which Rayleigh or Rayleigh-Lamb waves play the most important role, arises quite often [1][2][3], especially in areas prone to the shallow focus earthquakes [4,5] or for protection from blast loads [6], or traffic loads [7][8][9][10]. More rarely, seismic barriers are used for protecting against Love and SH waves [11][12][13]; the boundary integral equation methods (BIEMs) for barriers with elastic anisotropy, are considered by Kuznetsov [14].…”

Section: Seismic Barriersmentioning

confidence: 99%

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

Bratov

Kuznetsov

Морозов

2022

Mathematics and Mechanics of Solids

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A comparative study of the vertical seismic barriers intended for protecting from Rayleigh seismic waves and filled with (1) homogeneous linearly elastic materials and (2) granular metamaterials, is done by the finite-element (FE) modeling. The granular metamaterial obeys the Mohr–Coulomb plasticity model with the associated flow rule, low cohesion value, and small internal friction and dilation angles. The performed numerical analysis reveals a principal ability achieving much higher reduction ratios for magnitudes of accelerations along with much longer shadow zones behind the barrier for barriers filled with metamaterials in comparison with the purely elastic homogeneous barriers.

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Section: Seismic Barriersmentioning

confidence: 99%

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

Bratov

Kuznetsov

Морозов

2022

Mathematics and Mechanics of Solids

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“…From the point of view of seismology, Love waves are mainly of interest in connection with smallamplitude microseisms generated by waves in the ocean [19,20]. At the same time, during strong earthquakes, the amplitudes of Love waves do not reach the values characteristic of bulk S waves and Rayleigh-Lamb waves [21,22]. Nevertheless, vertical seismic barriers can also be used to protect against Love waves [23,24].…”

Section: Love Wavesmentioning

confidence: 99%

Seismic Barriers for Protection Against Surface and Headwaves: Multiple Scatters and Metamaterials

2021

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“…Immense studies on Love wave propagation in composite materials have been carried out by many researchers like Lamb wave, Love wave, and other elastic waves in isotropic and anisotropic composite materials that have been studied in [1][2][3][4]. e e ect of the reinforcement, di erent heterogeneities (viz., quadratic, linear, exponential, and hyperbolic), initial stress, several irregular boundaries (viz., parabolic, periodic, and rectangular), rigid and soft mountain surfaces, and viscosity and porosity on the phase velocity of the Love wave in several composite materials (including ber-reinforced, self-reinforced, void porous, and orthotropic) have been investigated in [5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Anti-Plane Wave Propagation in the Functionally Graded Hybrid Structure under an External Impulsive Force: A Green’s Function Approach

Bharti

Vaishnav

2022

Mathematical Problems in Engineering

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To propagate the anti-plane wave, a hybrid layered-half-space schematic of fiber-reinforced and orthotropic materials is taken into account. Due to its importance in engineering applications, anti-plane wave propagation through functionally graded orthotropic materials has attracted a lot of attention. The functionally graded orthotropic materials in the half-space and the reinforced materials under high initial stress are utilized in the superficial layer of finite depth. To examine the effect of heterogeneity on wave phase velocity, the elastic characteristics of orthotropic materials are defined in terms of hyperbolic functions. Moreover, a rectangular plate is installed at the interface of the materials to expose the effect of irregularity in the materials. An external force (impulsive force) is applied to the wave at the point source of the disturbance to understand the influence of such a force on the phase velocity of the wave. The nonhomogeneous equations of motion are deduced by Fourier transformation and are solved analytically by Green’s function technique along with possible applications of Dirac delta function. The dispersion relation of the anti-plane wave propagation is obtained analytically. This study presents a graphic explanation of the proposed schematic and discusses the stability of the model.

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SH waves in anisotropic (monoclinic) media

Cited by 40 publications

References 15 publications

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

Seismic Barriers for Protection Against Surface and Headwaves: Multiple Scatters and Metamaterials

Anti-Plane Wave Propagation in the Functionally Graded Hybrid Structure under an External Impulsive Force: A Green’s Function Approach

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