• 제목/요약/키워드: Semi-infinite Substrate

검색결과 11건 처리시간 0.031초

반무한체에 접합된 두 등방성 층의 좌굴 해석 (Buckling Analysis of Two Isotropic Layers Bonded to a Semi-Infinite Substrate)

  • 정경문;범현규
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.2108-2114
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    • 2000
  • The buckling of two elastic layers bonded to a semi-infinite substrate under a transverse compressive plane strain is investigated. Incremental deformation theory, which considers the effect of the initial stress on the incremental stress field, is employed to describe the buckling behavior of both two isotropic layers and the semi-infinite substrate. The problem is converted to an eigenvalue-eigenvector case, from which the critical buckling strain and the buckling wavelength are obtained. The results are presented on the effects of the layer geometries and material properties on the buckling behavior.

증분 변형 이론을 이용한 반무한체에 접합된 두 탄성층의 좌굴 해석 (Buckling Analysis of Two Elastic Layers Bonded to a Semi-Infinite Substrate Using Incremental Deformation Theory)

  • 정경문;범현규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.369-374
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    • 2000
  • The buckling of two elastic layers bonded to a semi-infinite substrate under a transverse compressive plane strain is investigated. Incremental deformation theory is employed to describe the buckling behavior of both two isotropic layers and the semi-infinite substrate. The problem is converted to an eigenvalue-eigenvector case, from which the critical buckling strain and the wavelength of the buckled shape are obtained. The results are presented on the effects of the layer geometries and material properties on the buckling behavior.

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Wrinkling of a homogeneous thin solid film deposited on a functionally graded substrate

  • Noroozi, Masoud
    • Structural Engineering and Mechanics
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    • 제74권2호
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    • pp.215-225
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    • 2020
  • Thin films easily wrinkle under compressive loading due to their small bending stiffness resulting from their tiny thickness. For a thin film deposited on a functionally graded substrate with non-uniform stiffness exponentially changes along the length span in this paper, the uniaxial wrinkling problem is solved analytically in terms of hyper-Bessel functions. For infinite, semi-infinite and finite length systems the wrinkling load and wrinkling wavenumber are determined and compared with those in literature. In comparison with a homogeneous substrate-bounded film in which the wrinkling pattern is uniform along the length span, for a functionally graded substrate-film system the wrinkles accumulate around the softer location of the functionally graded substrate. Therefore, the effective length of the film influenced by the wrinkles decreases, the amplitude of the wrinkles on softer regions of the functionally graded substrate grows and the wrinkling load of the functionally graded substrates with higher softening rate decreases more. The results of the current research are expected to be useful in science and technology of thin films and wrinkling of the structures especially living tissues.

Collective Excitations in Thin K Films on Al(111)

  • Kim, Bong-Ok
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2000년도 제18회 학술발표회 논문개요집
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    • pp.137-137
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    • 2000
  • The surface collective modes of thin K films deposited on Al(111) have been investigated using frequency dependent photoyield measurements and momentum resolved inelastic electron scattering. Jellium based theoretical calculations have predicted a richer set of features in the thin films than for the surface of a semi-infinite solid because there are th interference between two interfaces (substrate-film and film-vacuum) and heavy damping on the substrate. The use of an optical probe and electron scattering has allowed us to draw a more complete picture of the dynamic screening in thin films. The number, dispersion, damping and optical activity of the collective modes of the thin films have been measured as a function of K film thickness. New overlayer-induced excitations are observed : At qII=0, they correspond to the antisymmetric slab mode and the multipole surface plasmon. At finite qII=0, these modes undergo a transition towards the K multipole and monopole surface plasmons. With increasing coverage, the overlayer excitations turn into the collective modes of semi-infinite K. For a consistent interpretation of photoyield and electron energy loss spectra it is crucial to account for the non-analytic dispersion of the overlayer modes at small parallel wave vectors and for the finite angular resolution of the detector. The observed dispersions confirm predictions based on the time-dependent density functional approach.

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반무한 확산모델을 이용한 순환전위법의 전산모사에 관한 연구 (A Study on the Computational Simulation of Cyclic Voltammetry using Semi-infinite Diffusion Model)

  • 조하나;김태용;윤도영
    • 전기화학회지
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    • 제14권3호
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    • pp.138-144
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    • 2011
  • 본 연구에서는 순환전위법으로 발생되는 전기화학적 신호를 모사하기 위한 전산프로그램을 구현하여, 전극주변에서 발생하는 전자 및 이온의 전달현상을 해석하였다. 물질확산이 지배적인 계에 대하여 반무한 확산모델과 전극반응만을 고려하여 지배방정식과 경계조건을 설정하였다. 순환전위법의 수치해를 구하기 위하여 양함수 유한차분법을 적용하였으며, MATLAB을 이용하여 프로그램을 작성하였다. 10 mM의 $K_3Fe(CN)_6$와 0.1 M KCl 전기화학계를 이용하여 ITO glass 전극에서 순환전위법을 실시하여 실험의 결과와 수치해를 비교하였다. 본 연구에서 구현된 프로그램은 실험 결과를 전반적으로 잘 예측하고 있으며, 특히 주사속도가 낮을수록 실험결과들이 수치해에 보다 근접하고 있었다. 주사속도에 부가하여 순환전위법에서 전극면적, 전극반응속도상수 그리고 전자이동수의 영향들을 정량적으로 고려할 수 있었다.

Hertzian 이동하중을 받는 피복된 재료의 탄소성 거동에 관한 유한요소해석

  • 김영종;조용주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.596-602
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    • 1995
  • In this paper, the rolling-sliding contact problem of a layered semi-infinite solid compressed by a rigid surface is solved by finite element method based on the elasto-plastic theory. The purpose of this paper is to present the standard that is needed the later design. For this analysis, the principal parameters are layer thickness. Young's modulus ratio of layer and substrate and friction coefficient. In particular, this paper is interested in effect that layer thickness have influence upon displacement and shear and tensile stress at interface. For the layered material, the layer and the substrate behave elastic and linear-strain hardening respectively. For law friction, a relatively thin layer reduce the undesired maximum tensial stress but, for high friction, act contrary to the case of low friction.

A Novel Generalized Nonlinear Dispersion Equation for Five-Layer Waveguides with Kerr-like Nonlinearity

  • Jeong, Jong-Sool;Song, Seok-Ho;Lee, El-Hang
    • ETRI Journal
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    • 제18권2호
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    • pp.75-86
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    • 1996
  • A new method is proposed for the analysis of optical properties of stationary transverse electirc (TE) nonlinear waves in the five-layer waveguide which consists of a linear guiding layer with two nonlinear bounding layers sandwiched between a semi-infinite clad and a substrate. By using the relation of the interface electric fields, we obtain the generalized form of nonlinear dispersion equations as an analytic and flexible form. In order to verify the dispersion equation, we apply the dispersion equation to the analysis of the symmetric five-layer waveguide. The nonlinear dispersion curves for several thicknesses of the nonlinear thin film is also presented.

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공진 주파수 측정방법을 이용한 Coplanar Waveguide 용량성 불연속 구조 설계 (Modeling of Capacitive Coplanar Waveguide Discontinuities Characterized with a Resonance Method)

  • 김동영;지용
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(2)
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    • pp.181-184
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    • 2001
  • A coplanar waveguide(CPW) on a dielectric substrate consists of a center strip conductor with semi-infinite ground planes on either side. This type of waveguide offers several advantages over microstrip line. It facilitates easy shunt as well as series mounting of active and passive devices. It eliminates the need for wraparound and via holes, and it has a low radiation loss. These, as well as several other advantages, make CPW ideally suited for microwave integrated circuit applications. However, very little information is available in the literature on models for CPW discontinuities. This lack of sufficient discontinuity models for CPW has limited the application of CPW in microwave circuit design. We presented for the characteristics of coplanar waveguide open end capacitance and series gap capacitance. Measurements by utilizing the resonance method were made and the experimental data confirmed the validity of theories. The relationships between the CPW capacitances and the physical dimensions were studied.

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열충격하 적층체의 열탄성 구배기능 계면영역을 고려한 동일선상 복수균열 해석 (Collinear cracks in a layered structure with a thermoelastically graded interfacial zone under thermal shock)

  • 최형집;진태은;이강용
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.779-789
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    • 1998
  • In this paper, the thermal shock responses of collinear cracks in a layered medium are investigated based on the uncoupled, quasi-static plane thermoelasticity. The medium is modeled as a bonded structure composed of a surface layer and a semi-infinite substrate. Between these two dissimilar homogeneous constituents, a functionally graded interfacial zone exists with the nonhomogeneous features of continuously varying thermoelastic properties. Three cracks are assumed to be present in the layered medium, one in each one of the constituent materials, aligned collinearly normal to the nominal interfaces. A system of singular integral equations is solved, subjected to the forcing terms of equivalent transient thermal tractions acting on the locations of cracks via superposition. Main results presented are the transient thermal stress intensity factors to illustrate the parametric effects of various geometric and amterial combinations of the medium with the thermoelastically graded interfacial zone and the collinear cracks.

비균질 구배기능 계면영역을 고려한 적층 만무한체의 동일선상 복수균열 해석 (The Problem of Collinear Cracks in a Layered Half-Plane with a Functionally Graded Nonhomogeneous Interfacial Zone)

  • 진태은;최형집;이강용
    • 대한기계학회논문집A
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    • 제20권4호
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    • pp.1275-1289
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    • 1996
  • The plane elasticity problem of collinear cracks in a layered medium is investigated. The medium is modeled as bonded structure constituted from a surface layer and a semi-infinite substrate. Along the bond line between the two dissimilar homegeneous constituents, it is assumed that as interfacial zone having the functionally graded, nonhomogeneous elastic modulus exists. The layered medium contains three collinear cracks, one in each constituent material oriented perpendicular to the nominal interfaces. The stiffness matrix formulation is utilized and a set of homogeneous conditions relevant to the given problem is readily satisfied. The proposed mixed boundary value problem is then represented in the form of a system of integral equations with Cauchy-type singular kernels. The stress intensity factors are defined from the crack-tip stress fields possessing the standard square-root singular behavior. The resulting values of stress intensity factors mainly address the interactions among the cracks for various crack sizes and material combinations.