Academic literature on the topic 'Semi-infinite elastic media'

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

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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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Mandal, Palas. "Moving semi-infinite mode-III crack inside the semi-infinite elastic media." Journal of Theoretical and Applied Mechanics 58, no. 3 (July 15, 2020): 649–59. http://dx.doi.org/10.15632/jtam-pl/117813.

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

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

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Lin, Yuan, and Timothy C. Ovaert. "Thermoelastic Problems for the Anisotropic Elastic Half-Plane." Journal of Tribology 126, no. 3 (June 28, 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 state of plane strain or plane stress remains stress free if the temperature distribution is harmonic and the boundaries are free of traction, the stress within the semi-infinite anisotropic media will generally not equal zero even if the boundary is free of traction.
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Choi, Hyung Jip, and S. Thangjitham. "Stress Analysis of Multilayered Anisotropic Elastic Media." Journal of Applied Mechanics 58, no. 2 (June 1, 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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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 efficiency of theelement is verified with a half-plane example under dynamic load by comparing its results with the results of the finite element method (FEM). Theverificationshows thatthe adaptive semi-infinite element can effectively simulate the radiation conditions in the far area. And it is convenient to use TD-BEM to solve the half-plane dynamics problem.
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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 (July 1, 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 this axis, in order to illustrate the applicability of the new procedure; its accuracy at critical frequencies is assessed with a rigid cylinder.
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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 field. The present scheme can be applied to calculate the stress intensity at a crack-tip in anisotropic media due to the interaction of inclusions with arbitrary shapes.
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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 (January 14, 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 geophysics, civil engineering and soil mechanics
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Dissertations / Theses on the topic "Semi-infinite elastic media"

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Tang, Kai-Yi, and 湯凱驛. "Elastic waves in semi-infinite periodically layered media." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/05552856131367919949.

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碩士
國立臺灣大學
工程科學及海洋工程學研究所
95
The purpose of this article is to research the appearance of band structures and surface modes in semi-infinite periodically layered media. By the analysis, the spread of passing band and forbidden band for the foundation of design is investigated. This article use transfer matrix method to calculate dispersion relation and surface modes in semi-infinite periodically layered media. Finally analyzing characteristics of periodical structures in two-layer and four-layer to research the influence of width, structure, cap layer on band structures and surface modes is presented.
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Peng, Hsu Wei, and 彭勖維. "The research of wave propagation in semi-infinite elastic media with circular hetero-inclusion." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/57101474920066430973.

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Wu, Cheng-hua, and 吳政樺. "Simulation of Vibrations over the Surface of Semi-Infinite Elastic Media Induced by A High Speed Moving Load." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/36556599499380472179.

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碩士
國立成功大學
土木工程學系
87
The purpose of this research is to simulate the surface motion induced by a moving load that moves along a straight line on the earth. Try to investigate the phenomenon of the surface vibration of Tainan Science-based Industrial park affected by high speed railway which is right across the mentioned base. According to the basic motion produced by Pekeris, the study simulates vertical displacements of surface waves with various parameters, such as speed and amplitude of moving load﹑distance from the railway line﹑and the velocity of shear wave. Furthermore, the results are modified with practical vibration data measured at considered site, and the dB value of the considered site can be obtained accordingly.
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Thakur, Tapan. "Wave motion simulation using spectral elements and a hybrid PML formulation." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-3547.

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We are concerned with forward wave motion simulations in two-dimensional elastic, heterogeneous, semi-infinite media. We use Perfectly Matched Layers (PMLs) to truncate the semi-infinite extent of the physical domain to arrive at a finite computational domain. We use a recently developed hybrid formulation, where the Navier equations for the interior domain are coupled with a mixed formulation for an unsplit-field PML. Here, we implement the hybrid formulation using spectral elements, and report on its performance. The motivation stems from the following considerations: Of concern is the long-time instability that has been reported even in homogeneous and isotropic cases, when the standard complex-stretching function is used in the PML. The onset of the instability is always within the PML zone, and it manifests as error growth in time. It has been suggested that the instability arises when waves impinge at grazing angle on the PML-interior domain interface. Yet, the instability does not always appear. Furthermore, different values of the various PML parameters (mesh density, attenuation strength, order of attenuation function, etc) can either hinder or delay the onset of the instability. It is thus conjectured that the instability is associated with the spectral properties of the discrete operators. In this thesis, we report numerical results based on both Lagrange interpolants, and results based on spectral elements. Spectral elements are explored since they lead to diagonal mass matrices, have improved dispersion error, and, more importantly, have different spectral properties than Lagrangian-based finite elements. Spectral elements are thus used in an attempt to explore whether the reported instability issues could be alleviated. We design numerical experiments involving explosive sources situated at varying depths from the surface, capable of inducing grazing-angle waves. We use the energy decay as the primary metric for reporting the results of comparisons between various spectral element orders and classical Lagrange interpolants. We also report the results of parametric studies. Overall, it is shown that the spectral elements alone are not capable of removing the instability, though, on occasion, they can. Careful parameterization of the PML could also either remove it or alleviate it. The issue remains open.
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Conference papers on the topic "Semi-infinite elastic media"

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Mendoza, Jeff M., and Hoang Pham. "Elastic Response of a Submerged Plate Coated With Multiple Layers of Elastomeric Materials in the Presence of a Turbulent Boundary Layer." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0179.

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Abstract This study addresses the elastic response of a submerged plate coated with multiple layers of elastomeric materials. of interest is the extent at which the mechanism of interaction between dissimilar elastomers can be modified through selection of material properties. Such modification can optimize the received signal response at the sensors in the presence of a turbulent boundary layer (TBL) as well as provide insight into advantageous TBL and structure-borne vibration decoupling configurations. The analytical model is an infinite multilayer composite of steel and viscoelastic materials separating the semi-infinite media of water (external) and air (internal). The theory of elasticity expedites the analysis of elastic response, governed by dilatational and shear motion, in each layer. The analysis considers excitation by an incident plane wave in addition to a fully developed TBL both in the water medium. A series of numerical simulations based on material properties of well-characterized elastomers quantify the degree at which this coupling mechanism can be optimized in applications of noise and vibration reduction.
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Mullapudi, T. Ravi S., and Ashraf Ayoub. "Soil Structure Interaction Through Two Parameter Foundation." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20055.

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Beams on foundations and piles resisting by surrounding soil are significantly complex due to the behavior of the surrounding semi-infinite soil media. Winkler’s model is the simplest element that account for the behavior of both the foundation and soil. The Winkler model is the one-parameter model which assumes the foundation reaction at a particular point is proportional to the soil displacement. Most of the existing elements assume the soil to be tensionless or even elastic. In reality, the soil cohesiveness plays an important role in the behavior of foundation elements. In this paper a new finite element formulation was developed in which the soil can be viewed as an inelastic element with a combination of cohesive behavior that transmits rotations due to bending, in addition to the well-known Winkler effect known as the two-parameter model. The non linear response of structures resting on this improved foundation model is analyzed following a Pasternak approach with improved soil parameters. The soil parameters are evaluated by an internal iteration which depends upon the loading and foundation parameters. Parametric analyses of a foundation element have been carried out and comparisons were made between different foundation parameters. The numerical performance of the element was further enhanced by adopting the newly developed mixed finite element formulation with fiber discretization. The presented solutions and applications show the superiority of the element in simulating the complex response of foundation structures.
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