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Journal articles on the topic 'Semi-infinite elastic media'

Author: Grafiati

Published: 18 May 2024

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1

Alshits, V. I., A. N. Darinskii, and A. L. Shuvalov. "Elastic waves in infinite and semi-infinite anisotropic media." Physica Scripta T44 (January 1, 1992): 85–93. http://dx.doi.org/10.1088/0031-8949/1992/t44/014.

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2

Mandal, Palas. "Moving semi-infinite mode-III crack inside the semi-infinite elastic media." Journal of Theoretical and Applied Mechanics 58, no. 3 (2020): 649–59. http://dx.doi.org/10.15632/jtam-pl/117813.

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3

Nougaoui, A., and B. Djafari Rouhani. "Elastic waves in periodically layered infinite and semi-infinite anisotropic media." Surface Science 185, no. 1-2 (1987): 125–53. http://dx.doi.org/10.1016/s0039-6028(87)80618-0.

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4

Nougaoui, A., and B. Djafari Rouhani. "Elastic waves in periodically layered infinite and semi-infinite anisotropic media." Surface Science Letters 185, no. 1-2 (1987): A243. http://dx.doi.org/10.1016/0167-2584(87)90304-5.

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5

Lin, Yuan, and Timothy C. Ovaert. "Thermoelastic Problems for the Anisotropic Elastic Half-Plane." Journal of Tribology 126, no. 3 (2004): 459–65. http://dx.doi.org/10.1115/1.1760553.

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By applying the extended version of Stroh’s formalism, the two-dimensional thermoelastic problem for a semi-infinite anisotropic elastic half-plane is formulated. The steady-state heat transfer condition is assumed and the technique of analytical continuation is employed; the formulation leads to the Hilbert problem, which can be solved in closed form. The general solutions due to different kinds of thermal and mechanical boundary conditions are obtained. The results show that unlike the two-dimensional thermoelastic problem for an isotropic media, where a simply-connected elastic body in a st

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6

Choi, Hyung Jip, and S. Thangjitham. "Stress Analysis of Multilayered Anisotropic Elastic Media." Journal of Applied Mechanics 58, no. 2 (1991): 382–87. http://dx.doi.org/10.1115/1.2897197.

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The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

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7

Zhang, Mei, Bo Tang, and Hongjun Li. "Construction and application of adaptive semi-Infinite boundary element with dynamic problems on half-plane." E3S Web of Conferences 165 (2020): 06049. http://dx.doi.org/10.1051/e3sconf/202016506049.

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For thedynamic problem ofhalf-plane, if the radiation condition at the semi-infinite boundary is not taken into account in the numerical calculation, the accuracy of the result will be affected.In this paper, the basic theory of time-domain boundary element method (TD-BEM) and the propagation characteristics of stress waves in elastic media are used to transform a semi-infinite boundary into a semi-infinite boundary element which can adjust the size of the element automatically with time-space parameters.Enablingthe element to simulate radiative damping effects in the far field.At last, the ef

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8

Zeng, Xiaogang, J. Bielak, and R. C. MacCamy. "Stable Variational Coupling Method for Fluid-Structure Interaction in Semi-Infinite Media." Journal of Vibration and Acoustics 114, no. 3 (1992): 387–96. http://dx.doi.org/10.1115/1.2930274.

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An energy-based symmetric coupled finite element and boundary integral method valid for all frequencies has been developed recently by the authors (Zeng et al., 1990; Bielak et al., 1991), for analyzing scattering problems for an inhomogeneous deformable body immersed in an infinite acoustic medium. Here we extend the methodology to a halfspace with a free surface via the method of images. Numerical examples are presented for an infinitely long radially inhomogeneous elastic cylinder with its centroidal axis parallel to the free surface and subjected to an incident plane wave perpendicular to

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9

Zeng, Xian Wei, and Xi Luo. "Analysis of Crack-Inclusion Interaction in an Anisotropic Medium by Eshelby Equivalent Inclusion Method." Advanced Materials Research 268-270 (July 2011): 72–75. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.72.

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The problem of a semi-infinite crack in anisotropic medium interacting with a near-tip inclusion is analyzed by the Eshelby equivalent inclusion method. The change of mode I stress intensity factor due to crack-inclusion interaction is evaluated using a novel analytical solution for the model I stress intensity factor at the tip of a semi-infinite crack due to near-tip eigenstrains. Numerical results of the mode I stress intensity factor due to the presence of a near-tip circular inclusion are presented to show the influence of the elastic stiffness of an inclusion on the near-tip elastic fiel

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10

Madan, Dinesh K., and Naveen Kumar. "Propagation of Rayleigh Wave in Sandy Media with Imperfect Interface." SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology 15, no. 01 (2023): 78–82. http://dx.doi.org/10.18090/samriddhi.v15i01.27.

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In the present study, the propagation of Rayleigh wave in a sandy layer overlying a sandy semi-infinite media is investigated, with the interface considered imperfect. Expressions for displacement components are obtained. The dispersion frequency equation is derived using suitable boundary conditions. In particular cases, when interface is perfect and elastic media replace sandy media are also discussed. The effects of imperfectness and sandy parameter on the Rayleigh waves’ phase velocity are investigated using MATLAB software. The theoretical results obtained may find useful applications in

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11

Ashayeri, Iman, Mahnoosh Biglari, and Majid Rezaie Sefat. "Elastic wave theory for propagation of Rayleigh waves at surface of unsaturated semi-infinite media." Japanese Geotechnical Society Special Publication 2, no. 10 (2016): 446–50. http://dx.doi.org/10.3208/jgssp.irn-09.

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12

CELA, J. J. LÓPEZ, A. R. PIRIZ, M. C. SERNA MORENO, and N. A. TAHIR. "Numerical simulations of Rayleigh-Taylor instability in elastic solids." Laser and Particle Beams 24, no. 3 (2006): 427–35. http://dx.doi.org/10.1017/s0263034606060599.

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Numerical simulations of the Rayleigh-Taylor instability in the interface of two semi-infinite media have been performed based on the finite element method. Two different interfaces have been considered: elastic solid/elastic solid and elastic solid/viscous fluid. The results have been compared with previously published analytical models. In particular, the asymptotic growth rate has been compared with the model by Terrones (2005) while the initial transient phase is compared with the model by Piriz et al. (2005). Finally, some examples show the importance of such an initial transient phase if

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13

Madan, Dinesh Kumar, Naveen Kumar, and Annu Rani. "Rayleigh wave propagation in isotropic sandy layer sliding over isotropic sandy semi-infinite medium with sliding contact." International Journal of Applied Mechanics and Engineering 28, no. 1 (2023): 58–70. http://dx.doi.org/10.59441/ijame-2023-0006.

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The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model). Expressions for displacement components are obtained using the variable separation method. The dispersion frequency equation for the Rayleigh wave propagating in sandy media is derived using suitable boundary conditions. Particular cases, such as when the interface is in smooth contact and when sandy media are replaced by elastic media, are also discussed. Using MATLAB

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14

Goldsberry, Benjamin M., Samuel P. Wallen, and Michael R. Haberman. "Nonreciprocal acoustic scattering from an elastic plate with spatiotemporally modulated material properties." Journal of the Acoustical Society of America 151, no. 4 (2022): A156. http://dx.doi.org/10.1121/10.0010958.

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Acoustic and elastic metamaterials with space- and time-dependent material properties have received great attention recently as a means to realize nonreciprocal wave propagation. The nonreciprocal behavior of propagating waves in a spatiotemporally modulated infinite medium is usually characterized by directional bandgaps present in the frequency-wavenumber spectrum. However, less attention has been given to acoustic scattering from spatiotemporally modulated media. In this work, we consider nonreciprocal reflection and transmission from a spatiotemporally modulated, infinite elastic plate exc

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15

Xia, Muming, Hui Zhou, Hanming Chen, Qingchen Zhang, and Qingqing Li. "A rectangular-grid lattice spring model for modeling elastic waves in Poisson’s solids." GEOPHYSICS 83, no. 2 (2018): T69—T86. http://dx.doi.org/10.1190/geo2016-0414.1.

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The lattice spring model (LSM) combined with the velocity Verlet algorithm is a newly developed scheme for modeling elastic wave propagation in solid media. Unlike conventional wave equations, LSM is established on the basis of micromechanics of the subsurface media, which enjoys better dynamic characteristics of elastic systems. We develop a rectangular-grid LSM scheme for elastic waves simulation in Poisson’s solids, and the direction-dependent elastic constants are deduced to keep the isotropy of the discrete grid. The stability condition and numerical dispersion properties of LSM are discu

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16

Kumar, Rajneesh, and Rajeev Kumar. "Analysis of wave motion in transversely isotropic elastic material with voids under a inviscid liquid layer." Canadian Journal of Physics 87, no. 4 (2009): 377–88. http://dx.doi.org/10.1139/p09-020.

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The present investigation is to study the surface wave propagation in a semi-infinite transversely isotropic elastic material with voids under a homogeneous inviscid liquid layer. The frequency equation is derive after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficients versus wave numbers are plotted graphically to depict the effects of voids for (i) a transversely isotropic elastic half-space with voids under a homogeneous inviscid liquid layer and (ii) a transversely isotropic elastic half-space with voids. The particle path is als

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17

Fan, Hui, and L. M. Keer. "Two-Dimensional Contact on an Anisotropic Elastic Half-Space." Journal of Applied Mechanics 61, no. 2 (1994): 250–55. http://dx.doi.org/10.1115/1.2901437.

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The two-dimensional contact problem for a semi-infinite anisotropic elastic media is reconsidered here by using the formalism of Es he I by et al. (1953) and Stroh (1958). The approach of analytic function continuation is employed to investigate the half-space contact problem with various mixed boundary conditions applied to the half-space. A key point of the solution procedure suggested in the present paper is its dependence on a general eigenvalue problem involving a Hermitian matrix. This eigenvalue problem is analogous to the one encountered when investigating the behavior of an interface

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18

Komvopoulos, K., and N. Ye. "Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media With Fractal Surface Topographies." Journal of Tribology 123, no. 3 (2000): 632–40. http://dx.doi.org/10.1115/1.1327583.

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Three-dimensional rough surfaces were generated using a modified two-variable Weierstrass-Mandelbrot function with fractal parameters determined from real surface images. The number and size of truncated asperities were assumed to follow power-law relations. A finite element model of a rigid sphere in normal contact with a semi-infinite elastic-plastic homogeneous medium was used to obtain a constitutive relation between the mean contact pressure, real contact area, and corresponding representative strain. The contact model was extended to layered media by modifying the constitutive equation o

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19

Yaremko, Oleg, and Natalia Yaremko. "Matrix Fourier Transforms for Consistent Mathematical Models." Chinese Journal of Mathematics 2016 (August 31, 2016): 1–10. http://dx.doi.org/10.1155/2016/1975493.

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We create a matrix integral transforms method; it allows us to describe analytically the consistent mathematical models. An explicit constructions for direct and inverse Fourier matrix transforms with discontinuous coefficients are established. We introduce special types of Fourier matrix transforms: matrix cosine transforms, matrix sine transforms, and matrix transforms with piecewise trigonometric kernels. The integral transforms of such kinds are used for problems solving of mathematical physics in homogeneous and piecewise homogeneous media. Analytical solution of iterated heat conduction

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20

Gupta, Shishir, Mostaid Ahmed, and Abhijit Pramanik. "Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media." Acta Geophysica 65, no. 1 (2017): 139–49. http://dx.doi.org/10.1007/s11600-017-0012-2.

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21

Shuvalov, A. L., O. Poncelet, and S. V. Golkin. "Existence and spectral properties of shear horizontal surface acoustic waves in vertically periodic half-spaces." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2105 (2009): 1489–511. http://dx.doi.org/10.1098/rspa.2008.0457.

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The paper is concerned with the propagation of shear horizontal surface waves (SHSW) in semi-infinite elastic media with vertically periodic continuous and/or discrete variation of material properties. The existence and spectral properties of the SHSW are shown to be intimately related to the shape of the properties variation profile. Generally, the SHSW dispersion branches represent randomly broken spectral intervals on the ( ω , k ) plane. They may, however, display a particular regularity in being confined to certain distinct ranges of slowness s = ω / k , which can be predicted and estimat

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22

Kaganova, I. M., and M. L. Litinskaia. "Singularities of the dynamical Green function for semi-infinite isotropic elastic media subjected to time and position dependent normal surface force." Physics Letters A 200, no. 5 (1995): 365–74. http://dx.doi.org/10.1016/0375-9601(95)00153-t.

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23

Prasad, Ratan Mani, Santimoy Kundu, and Shishir Gupta. "Propagation of torsional surface wave in sandy layer sandwiched between a non-homogeneous and a gravitating anisotropic porous semi-infinite media." Journal of Vibration and Control 23, no. 11 (2015): 1768–81. http://dx.doi.org/10.1177/1077546315600112.

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The present paper attempts to study the propagation of torsional surface waves in a pre-stressed dry sandy layer sandwiched by a pre-stressed non-homogeneous semi-infinite medium and an anisotropic porous half-space under gravity. The non-homogeneity in the non-homogeneous layer is caused by the quadratic variation in rigidity, density and initial stress. The inhomogeneity has been assumed as hyperbolic variation in the dry sandy layer. The dispersion equation of motion has been derived under suitable boundary conditions in a close form, which shows the variation of phase velocity of the corre

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24

Danoyan, Z. N., L. H. Atoyan, S. L. Sahakyan та N. Z. Danoyan. "Love waves in а layered elastic media consisting of two semi-infinite half-spaces with inhomogeneous layers and homogeneous layer between them." Mechanics - Proceedings of National Academy of Sciences of Armenia 67, № 3 (2014): 49–55. http://dx.doi.org/10.33018/67.3.6.

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25

Bescond, C., and M. Deschamps. "Erratum: “Dynamical surface response of a semi-infinite anisotropic elastic media to an impulsive force” [J. Acoust. Soc. Am. 103, 114–124 (1998)]." Journal of the Acoustical Society of America 104, no. 1 (1998): 599. http://dx.doi.org/10.1121/1.423280.

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26

Afanasyev, Andrey, and Ivan Utkin. "Modelling ground displacement and gravity changes with the MUFITS simulator." Advances in Geosciences 54 (October 19, 2020): 89–98. http://dx.doi.org/10.5194/adgeo-54-89-2020.

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Abstract. We present an extension of the MUFITS reservoir simulator for modelling the ground displacement and gravity changes associated with subsurface flows in geologic porous media. Two different methods are implemented for modelling the ground displacement. The first approach is simple and fast and is based on an analytical solution for the extension source in a semi-infinite elastic medium. Its application is limited to homogeneous reservoirs with a flat Earth surface. The second, more comprehensive method involves a one-way coupling of MUFITS with geomechanical code presented for the fir

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27

Radjen, Anthony, Gabriele Gradoni, and Richard Tew. "Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries." IMA Journal of Applied Mathematics 84, no. 6 (2019): 1203–19. http://dx.doi.org/10.1093/imamat/hxz029.

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Abstract Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in two dimensions. Here, an ‘irregular’ boundary is one for which small-scale undulations of an arbitrary profile are superimposed upon an underlying, smooth curve (which also has an arbitrary profile), with the length scale of the perturbation being prescribed in terms of a certain inverse power of the large wave-number of the incoming wave

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28

Braun, Stefan, Helmut Nowotny, Ewald Benes, and Martin Gröschl. "Layered piezoelectric structures with arbitrary acoustic termination impedances." Journal of the Acoustical Society of America 153, no. 3 (2023): 1733–53. http://dx.doi.org/10.1121/10.0017600.

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Multilayer piezoelectric transducers and resonators are widely used for generating propagating and standing acoustic waves as well as for sensor devices. More recently, layered piezoelectric structures based on thin film technology became increasingly important for electromechanical filters used in mobile phones. As a consequence, analytical mathematical modeling of such structures is of high interest. In this paper, a general rigorous transfer matrix description for one-dimensional (1D) layered structures consisting of piezoelectric, visco-elastic, and dielectric layers of arbitrary number is

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29

Voytko, M. V., O. B. Trishchuk, and D. B. Kuryliak. "Estimation of the stress intensity factor of an interface crack by the scattered SH-far field." Information extraction and processing 2023, no. 51 (2023): 19–22. http://dx.doi.org/10.15407/vidbir2023.51.019.

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The diffraction of the plane elastic SH-wave from a semi-infinite interface crack on junction of two elastic semi-infinite media is studied. The crack is modelled by the mathematical cut with no stress on its faces. The displacement and the stress fields are continuous outside of the crack. The wave diffraction problem is reduced to the solution of the mixed boundary value problem for Helmholtz equation. We search the solution which satisfies the Neumann boundary condition on the crack faces and the continuity condition for the stress and displacement fields outside of the crack. The radiation

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30

Bouare, Hamed, Arnaud Mesgouez, and Gaëlle Lefeuve-Mesgouez. "Contribution to the modeling and the mechanical characterization of the subsoil in the LSBB environment." E3S Web of Conferences 88 (2019): 06001. http://dx.doi.org/10.1051/e3sconf/20198806001.

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The present research work aims at better characterizing the specific underground environment of the LSBB (Low Noise Inter-Disciplinary Underground Science and Technology, Rustrel, France) using mechanical wave propagation information. The LSBB experimental environment is characterized by a system of cylindrical galleries, some of them presenting a concrete layer. In the global project, three steps are considered : firstly the construction of an efficient forward mechanical wave propagation model to calculate the displacement vector and stress tensor components; secondly a sensitivity analysis

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31

Pavlov, I. S., and A. V. Muravieva. "A 3D HIGHER-ORDER GRADIENT MODEL FOR A HALF-SPACE GEOMEDIUM." Problems of Strength and Plasticity 84, no. 4 (2022): 480–92. http://dx.doi.org/10.32326/1814-9146-2022-84-4-480-492.

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In this paper, a structural model of a geomedium (a soil) is proposed in the form of a simple cubic lattice of spherical particles (blocks) possessing three translational and three rotational degrees of freedom. The force and couple interactions between the particles are modeled by elastic springs of five types. A long-wavelength continuum mathematical model of the soil has been elaborated by the method of structural modeling. An analytical relationship between its macroconstants and microstructure parameters has been found. It is shown that the obtained model differs from the model of the red

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32

Han, Zejun, Mi Zhou, Xiaowen Zhou, and Linqing Yang. "Dynamic Response of 3D Surface/Embedded Rigid Foundations of Arbitrary Shapes on Multi-Layered Soils in Time Domain." International Journal of Structural Stability and Dynamics 19, no. 09 (2019): 1950106. http://dx.doi.org/10.1142/s0219455419501062.

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Significant differences between the predicted and measured dynamic response of 3D rigid foundations on multi-layered soils in the time domain were identified due to the existence of uncertainties, which makes the issue a complicated one. In this study, a numerical method was developed to determine the dynamic responses of 3D rigid surfaces and embedded foundations of arbitrary shapes that are bonded to a multi-layered soil in the time domain. First, the dynamic stiffness matrices of the rigid foundations in the frequency domain are calculated via integral domain transformation. Secondly, a dyn

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33

Srinivasan, M. A., and K. Dandekar. "An Investigation of the Mechanics of Tactile Sense Using Two-Dimensional Models of the Primate Fingertip." Journal of Biomechanical Engineering 118, no. 1 (1996): 48–55. http://dx.doi.org/10.1115/1.2795945.

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Tactile information about an object in contact with the skin surface is contained in the spatiotemporal load distribution on the skin, the corresponding stresses and strains at mechanosensitive receptor locations within the skin, and the associated pattern of electrical impulses produced by the receptor population. At present, although the responses of the receptors to known stimuli can be recorded, no experimental techniques exist to observe either the load distribution on the skin or the corresponding stress-state at the receptor locations. In this paper, the role of mechanics in the neural

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34

Khandelwal, Ratnesh, and J. M. Chandra Kishen. "Thermal Weight Functions and Stress Intensity Factors for Bonded Dissimilar Media Using Body Analogy." Journal of Applied Mechanics 78, no. 6 (2011). http://dx.doi.org/10.1115/1.4003911.

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In this study, an analytical method is presented for the computation of thermal weight functions in two dimensional bi-material elastic bodies containing a crack at the interface and subjected to thermal loads using body analogy method. The thermal weight functions are derived for two problems of infinite bonded dissimilar media, one with a semi-infinite crack and the other with a finite crack along the interface. The derived thermal weight functions are shown to reduce to the already known expressions of thermal weight functions available in the literature for the respective homogeneous elast

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35

Zhang, Yijing, and Alexander F. Vakakis. "High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media." Journal of Computational and Nonlinear Dynamics 12, no. 1 (2016). http://dx.doi.org/10.1115/1.4034272.

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We study the transient responses of linear and nonlinear semi-infinite periodic media on linear elastic foundations under suddenly applied, high-frequency harmonic excitations. We show that “dynamic overshoot” phenomena are realized whereby, due to the high-rate of application of the high-frequency excitations, coherent traveling responses are propagating to the far fields of these media; and this, despite the fact that the high frequencies of the suddenly applied excitations lie well within the stop bands of these systems. For the case of a linear one-dimensional (1D) spring-mass lattice, a l

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36

"Plane strain fracture in poroelastic media." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 434, no. 1892 (1991): 605–33. http://dx.doi.org/10.1098/rspa.1991.0116.

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The effect of fully coupled poroelasticity on an impulsively loaded crack in plane strain is investigated. A formally exact solution for a semi-infinite crack in a linear, isotropic, poroelastic medium with a prescribed internal stress is considered; the solution is obtained using Laplace and Fourier transforms in time and space respectively and then using the Wiener-Hopf technique to solve the resulting functional equations. The stress intensity factor is found as a function of the Laplace variable s and is evaluated explicitly for small times and numerically for all times. The problem of a f

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37

Kaplunov, J., D. A. Prikazchikov, and L. Prikazchikova. "On non-locally elastic Rayleigh wave." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, no. 2231 (2022). http://dx.doi.org/10.1098/rsta.2021.0387.

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The Rayleigh-type wave solution within a widely used differential formulation in non-local elasticity is revisited. It is demonstrated that this wave solution does not satisfy the equations of motion for non-local stresses. A modified differential model taking into account a non-local boundary layer is developed. Correspondence of the latter model to the original integral theory with the kernel in the form of the zero-order modified Bessel function of the second kind is addressed. Asymptotic behaviour of the model is investigated, resulting in a leading-order non-local correction to the classi

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38

Makeev, Maxim A., and Anupam Madhukar. "Stress and strain fields from an array of spherical inclusions in semi-infinite elastic media: Ge nanoinclusions in Si." Physical Review B 67, no. 7 (2003). http://dx.doi.org/10.1103/physrevb.67.073201.

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39

Kumar, Amit, and Santosh Kapuria. "Finite element simulation of axisymmetric elastic and electroelastic wave propagation using local-domain wave packet enrichment." Journal of Vibration and Acoustics, August 24, 2021, 1–28. http://dx.doi.org/10.1115/1.4052244.

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Abstract A local-domain wave packet enriched multiphysics finite element (FE) formulation is employed for accurately solving axisymmetric wave propagation problems in elastic and piezoelastic media, involving complex wave modes and sharp jumps at the wavefronts, which pose challenges to the conventional FE solutions. The conventional Lagrangian interpolations for displacement, temperature and electric potential fields are enriched with the element-domain sinusoidal functions which satisfy the partition of unity condition. The extended Hamilton's principle is employed to derive the coupled syst

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40

Liu, Zhiwei, and Hui Qi. "Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-92841-5.

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AbstractAn analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-magnetic dynamic equation of magnetostrictive medium is established, and the semi-space incident wave field is written. In addition, based on the theory of complex function and the method of wave function expansion, the expression of the wave function of the scattered displacement field and the corresp

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41

Panchenko, Borys, Liudmyla Bukata, and Denys Bahachuk. "MATHEMATICAL MODEL OF THE INTERACTION OF STATIONARY SH-WAVES WITH A SYSTEM OF CURVILINEAR CRACKS IN A HALF-SPACE." Інфокомунікаційні та комп’ютерні технології, 2023, 73–84. http://dx.doi.org/10.36994/2788-5518-2023-01-05-09.

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A method for solving mathematical physics problems is proposed for semi-infinite media containing systems of curved crack-slits. Most of the studies known from the literature relate to the problems of diffraction of elastic waves on straight and circular cuts. However, in reality, the crack is usually not straight or circular. Studies have shown that the curvature of a crack significantly affects the value of the dynamic stress intensity coefficients. The value of this parameter also depends on the proximity of the defects to each other, since they always fall within the range of the reflected

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42

Selvadurai, P. A., R. Wu, P. Bianchi, et al. "A Methodology for Reconstructing Source Properties of a Conical Piezoelectric Actuator Using Array-Based Methods." Journal of Nondestructive Evaluation 41, no. 1 (2022). http://dx.doi.org/10.1007/s10921-022-00853-6.

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AbstractWe investigated the force produced by a conical piezoelectric (PZT, lead zirconate titanate) transducer actuated by high voltage pulses (HVP) in contact with a steel transfer plate. Using elastic wave propagation theory in a semi-infinite plate, we aimed to quantify the magnitude and estimate the shape of the force–time function via the body waves produced in the transfer plate using the displacement field recorded on an array of 20 absolutely calibrated PZT receivers. We first calibrated the receiver array using glass capillary fracture. We proceeded to use a conical PZT transducer to

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