• Title/Summary/Keyword: Half-space

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Elastic Analysis of Plates Resting on Elastic Half-Space Considering the Local Segregation Between Plate and Foundation

  • Jinhwan-Cheung;Cho, Hyun-Yung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.38-43
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    • 1993
  • It is one of classical problems in the elastic theory to analyze contact stresses between elastic bodies. Concrete pavements under traffic wheel loads can be considered as one of these typical problems. In this paper, an elastic plate resting on tensionless elastic half-space is analyzed by finite element method. The Boussinesq's solution of elastic half-space is used to evaluate the flexibility of foundation. One of the principal difficulties in solving the local seperation phenomena between plate and foundation is that the geometry of the system is unknown. To obtain the boundary of contact area, the flexibility matrix of foundation is modified after each cycle of analysis iteratively. Some numerical examples are presented by using these method.

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An Analysis of Plate on the Elastic Half-Space by Using the Improved Subsection Method (개선된 소영역분할법을 이용한 탄성지반위에 놓인 평판의 해석)

  • Han, Choong-Mok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.133-140
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    • 2005
  • A Plate on the elastic half-space may be generally be analyzed by the finite element method. However, there ate some difficulties to obtain the flexibility matrix of the foundation based on the Boussinesq's theory. In this study, an efficient numerical procedure which uses the analysis results of the vertical displacements due to the uniformly distributed loading in a circular area is presented. Some numerical examples represent better results than those of numerical integration technique or subsection method especially in the case of irregular mesh pattern.

Iterative Reconstruction of Multiple Cylinders Buried in the Lossy Half Space (손실 반공간에 묻힌 2차원 원통형 파이프의 검출 및 식별)

  • Kim, Jeong-Seok;Ra, Jung-Woong
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.173-176
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    • 2001
  • Several dielectric as well as conducting cylinders buried in the lossy half space are reconstructed from the scattered fields measured along the interface between the air and the lossy ground. Iterative inversion method by using the hybrid optimization algorithm combining the genetic and the Levenberg-Marquardt algorithm enables us to find the positions, the sizes, and the medium parameters such as the permittivities and the conductivities of the buried cylinders as well as those of the background lossy half space. Illposedness of the inversion caused by the errors in the measured scattered fields are regularized by filtering the evanescent modes of the scattered fields out.

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Signal Space Representation of Half-Symbol-Rate-Carrier PSK Modulations

  • Yeo, Hyeop-Goo
    • Journal of information and communication convergence engineering
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    • v.7 no.3
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    • pp.304-308
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    • 2009
  • This paper proposes a new concept of a signal constellation of the recently introduced half-symbol-rate-carrier phase-shift keying (HSRC-PSK) modulations for bandwidth-efficient high speed data communications. Since the HSRC-PSK modulations contain different symbol energies representing the same bit sequences due to the loss of orthogonality of their HSRC signals, it is very hard to represent the symbol using the conventional signal constellation. To resolve the problem, two different energies are assigned to represent one symbol for the HSRC offset quadrature phase shift keying (OQPSK) modulation. Similarly, the different energies exist to display the different symbol for HSRC minimum shift keying (MSK) modulation. With the proposed signal space representation, HSRC-PSK symbol can easily be shown with a two-dimensional scatter plot which provides helpful information of evaluating HSRC-PSK signal's quality.

SH-wave in a piezomagnetic layer overlying an initially stressed orthotropic half-space

  • Kakar, Rajneesh;Kakar, Shikha
    • Smart Structures and Systems
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    • v.17 no.2
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    • pp.327-345
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    • 2016
  • The existence of SH-wave in a piezomagnetic layer overlying an initially stressed orthotropic half-space is investigated. The coupled of differential equations are solved for piezomagnetic layer overlying an orthotropic elastic half-space. The general dispersion equation has been derived for both magnetically open circuit and magnetically closed circuits under the four types of boundary conditions. In the absence of the piezomagnetic properties, initial stress and orthotropic properties of the medium, the dispersion equations reduce to classical Love equation. The SH-wave velocity has been calculated numerically for both magnetically open circuit and closed circuits. The effect of initial stress and magnetic permeability are illustrated by graphs in both the cases. The velocity of SH-wave decreases with the increment of wave number.

3-DIMENSIONAL DYNAMIC INFINITE ELEMENTS IN CARTESIAN COORDINATES FOR MULTI-LAYERED HALF-SPACE (3차원 수직 좌표계의 지반-구조물 상호작용해석을 위한 동적 무한요소의 개발)

  • Seo, Choon-Gyo;Yun, Chung-Bang
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.628-636
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    • 2006
  • This paper presents 3D infinite elements in Cartesian coordinates for the elastodynamic problem in multi-layered half-space. Five kinds of infinite elements are developed by using approximate expressions of multiple wave components for the wave function in exterior far-field soil region. They are horizontal, horizontal-corner, vertical, vertical-corner and vertical-horizontal-corner elements. The elements can be used for the multi-wave propagating problem. Numerical example analyses are presented for rigid disk, square footings and embedded footing on homogeneous and layered half-space. The numerical results obtained show the effectiveness of the proposed infinite elements.

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Shear waves propagation in an initially stressed piezoelectric layer imperfectly bonded over a micropolar elastic half space

  • Kumar, Rajneesh;Singh, Kulwinder;Pathania, D.S.
    • Structural Engineering and Mechanics
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    • v.69 no.2
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    • pp.121-129
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    • 2019
  • The present study investigates the propagation of shear waves in a composite structure comprised of imperfectly bonded piezoelectric layer with a micropolar half space. Piezoelectric layer is considered to be initially stressed. Micropolar theory of elasticity has been employed which is most suitable to explain the size effects on small length scale. The general dispersion equations for the existence of waves in the coupled structure are obtained analytically in the closed form. Some particular cases have been discussed and in one particular case the dispersion relation is in well agreement to the classical-Love wave equation. The effects of various parameters viz. initial stress, interfacial imperfection and micropolarity on the phase velocity are obtained for electrically open and mechanically free system. Numerical computations are carried out and results are depicted graphically to illustrate the utility of the problem. The phase velocity of the shear waves is found to be influenced by initial stress, interface imperfection and the presence of micropolarity in the elastic half space. The theoretical results obtained are useful for the design of high performance surface acoustic devices.

Transient memory response of a thermoelectric half-space with temperature-dependent thermal conductivity and exponentially graded modulii

  • Ezzat, Magdy A.
    • Steel and Composite Structures
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    • v.38 no.4
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    • pp.447-462
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    • 2021
  • In this work, we consider a problem in the context of thermoelectric materials with memory-dependent derivative for a half space which is assumed to have variable thermal conductivity depending on the temperature. The Lamé's modulii of the half space material is taken as a function of the vertical distance from the surface of the medium. The surface is traction free and subjected to a time dependent thermal shock. The problem was solved by using the Laplace transform method together with the perturbation technique. The obtained results are discussed and compared with the solution when Lamé's modulii are constants. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions. Affectability investigation is performed to explore the thermal impacts of a kernel function and a time-delay parameter that are characteristic of memory dependent derivative heat transfer in the behavior of tissue temperature. The correlations are made with the results obtained in the case of the absence of memory-dependent derivative parameters.

A Study on Eddy-current Probe with Ferrite Cores over a Layered Half-Space (레이어가 있는 하프스페이스에서 페라이트코아가 있는 와류탐침에 대한 연구)

  • Kim, T.W.;Byun, K.R.;Choi, J.H.;Kang, E.S.;Hwang, H.J.
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.613-616
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    • 1998
  • In this paper, a model of a Eddy-current probe coil with a ferrite core in the presence of a half-space with a layer is developed. The half-space with a layer is accounted for by computing the appropriate Green's function by using Bessel transforms. Upon introducing equivalent Amperian currents within a core to explain effect to a impedance change in the coil due to a (ferrite) core, we derive a volume integral equation, The integral equation is transformed via the method of moments into a vector-matrix equation, which is then solved using a linear equation solver. Through the above processing, we computed impedance value in a Eddy-current probe coil due to a conductivity change of layer.

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Using the Monte Carlo method to solve the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions

  • Bahram R. Maleki
    • Nuclear Engineering and Technology
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    • v.55 no.1
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    • pp.324-329
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    • 2023
  • Different types of deterministic solution methods were used to solve neutron transport equations corresponding to half-space and slab albedo problems. In these types of solution methods, in addition to the error of the numerical solutions, the obtained results contain truncation and discretization errors. In the present work, a non-analog Monte Carlo method is provided to simulate the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions. For each scattering function, the sampling method of the direction of the scattered neutrons is presented. The effects of different beams with different angular dependencies and the effects of different scattering parameters on the reflection probability are investigated using the developed Monte Carlo method. The validity of the Monte Carlo method is also confirmed through the comparison with the published data.