• 제목/요약/키워드: Elastic Layers

검색결과 298건 처리시간 0.025초

층이 있는 반무한체의 접촉하중에 의한 응력을 푸리에 적분을 이용한 해석 (Stress Analysis of a Layered Semi-infinite Solid Subjected to Contact Loading Using a Fourier Integral)

  • 안유민;박상신
    • Tribology and Lubricants
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    • 제17권5호
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    • pp.373-379
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    • 2001
  • The problem of interest is formulating elastic contact problem of a layered semi-infinite solid in terms of Fourier integral. The plane strain problem is considered for a solid composed of homogeneous isotropic two layers with different mechanical properties. General solutions for the subsurface stress and deformation field of frictionless elastic bodies under normal loading using of Fourier transformation technique are obtained. The numerical results for the stress distribution of coated solid for some particular cases are given.

Micromechanics Modeling of Functionally Graded Materials Containing Multiple Heterogeneities

  • Yu, Jaesang;Yang, Cheol-Min;Jung, Yong Chae
    • Composites Research
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    • 제26권6호
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    • pp.392-397
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    • 2013
  • Functionally graded materials graded continuously and discretely, and are modeled using modified Mori- Tanaka and self-consistent methods. The proposed micromechanics model accounts for multi-phase heterogeneity and arbitrary number of layers. The influence of geometries and distinct elastic material properties of each constituent and voids on the effective elastic properties of FGM is investigated. Numerical examples of different functionally graded materials are presented. The predicted elastic properties obtained from the current model agree well with experimental results from the literature.

탄성이론을 이용한 소나 다층구조물의 음향 수신 성능해석 (An Acoustic Reception Ability Analysis of SONAR Multilayer Structures by Using Elastic Theory)

  • 권현웅;홍석윤;송지훈;김성희;전재진;서영수
    • 한국음향학회지
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    • 제32권4호
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    • pp.301-307
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    • 2013
  • 수중무기체계에 있어 소나 탐지 성능은 생존성 향상을 위한 중요한 인자이다. 소나의 음향수신 성능을 파악하기 위해서 탄성이론을 이용하여 소나 다층구조의 음향 성능을 해석하였다. 단순구조물에 대하여 탄성이론을 적용하여 얻은 본 해석 결과를 상용해석프로그램인 ANSYS와 비교하였고, 만족할만한 결과를 얻었다. 검증된 탄성이론을 이용하여 소나 다층구조의 층별 두께 변화에 따른 음압 및 반향음 감소 해석을 수행하였다. 무반향(anechoic)층의 두께가 증가할수록 주파수에 따른 음압이 고르게 분포하고 반향음 감소량이 약간 증가하는 것을 확인하였다. 비결합(decoupling)층과 스틸(steel)층의 경우 두께에 따른 음압의 변화는 거의 없으나 두꺼워질수록 반향음이 약간 감소하는 결과를 나타내었다. 탄소강화플라스틱(Carbon Reinforced Platic, CRP)층의 두께 변화는 음압과 반향음 감소량에 영향이 없는 것을 확인하였다. 따라서 소나 다층구조의 음향성능을 높이기 위해서는 무반향층을 두껍게 하고, 비결합층, 스틸층과 탄소강화플라스틱층은 최소화하는 것이 바람직할 것으로 예상된다.

하부층 모델링에 따른 지반 위 콘크리트 슬래브의 환경하중 하의 컬링 거동 분석 (Effect of Underlying Layer Modeling on Curling Behavior of Concrete Slabs on Grade under Environmental Loads)

  • 김성민;심재수;윤동주
    • 한국도로학회논문집
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    • 제10권3호
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    • pp.209-220
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    • 2008
  • 본 논문은 지반위에 놓인 콘크리트 슬래브가 환경하중에 의해 컬링 할 때의 거동을 해석할 경우에 하부층의 모델링 방법에 따른 해석 결과의 차이를 분석한 내용을 기술하였다. 지반위에 놓인 슬래브 시스템을 전체 3차원 모델, 3차원 슬래브와 하부층을 스프링으로 구성한 모델, 그리고 2차윈 슬래브와 하부층을 스프링으로 구성한 모델 등으로 개발하여 해석을 수행하였다. 먼저 하부층이 단일 층으로 구성되어 있을 경우에 하부층 모델링 방법에 따른 컬링 거동의 차이를 분석하였다. 그리고 하부층이 서로 다른 재료와 두께로 구성되어 있는 복층일 경우에 하부층 모델링에 따른 컬링 거동의 특성을 비교 분석하였다. 연구결과 하부층을 무인장 스프링으로 모델링 하면 하부층이 단층일 경우에는 일반적으로는 상당히 정확한 해석결과를 얻을 수 있으나, 하부층이 복층일 경우에는 상위하부층의 탄성계수가 클 때, 하위하부층의 탄성계수가 작을 때, 그리고 상위하부층과 하위하부층의 두께가 두꺼울 때는 컬링 시에 슬래브의 수직변위 차이를 과대평가하게 되며 최대응력은 과소평가하게 된다.

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질화규소 이층 층상재료에서 코팅층의 파괴에 관한 연구 : I. Elastic/Plastic Mismatch의 영향 (A Study on the Coating Fracture in Silicon Nitride Bilayer : I. Effect of Elastic/Plastic Mismatch)

  • 이기성;이승건;김도경
    • 한국세라믹학회지
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    • 제34권12호
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    • pp.1268-1274
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    • 1997
  • Effect of elastic/plastic mismatch on the fracture of Si3N4 coating in Si3N4/Si3N4 -BN bilayer was investigated by Hertzian indentation testing. A different amount of mismatch between two layers was induced by different BN addition in the substrate layer, and Hertizian cracks were induced by using WC ball indenter. As a result, as the elastic/plastic mismatch between coating and substrate layer increased, the coating fracture easily occurred. A bending stress induced by different elastic/plastic mismatch was main reason to cause the fracture of coating.

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Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM

  • Abdulrazzaq, Mohammed Abdulraoof;Muhammad, Ahmed K.;Kadhim, Zeyad D.;Faleh, Nadhim M.
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.201-217
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    • 2020
  • This paper employs differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT) for studying free vibrational characteristics of porous functionally graded (FG) nanoplates coupled by visco-elastic foundation. A secant function based refined plate theory is used for mathematical modeling of the nano-size plate. Two scale factors are included in the formulation for describing size influences based on NSGT. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. Visco-elastic foundation is presented based on three factors including a viscous layer and two elastic layers.The governing equations achieved by Hamilton's principle are solved implementing DQM. The nanoplate vibration is shown to be affected by porosity, temperature rise,scale factors and viscous damping.

Static stability analysis of graphene origami-reinforced nanocomposite toroidal shells with various auxetic cores

  • Farzad Ebrahimi;Mohammadhossein Goudarzfallahi;Ali Alinia Ziazi
    • Advances in nano research
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    • 제17권1호
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    • pp.1-8
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    • 2024
  • In this paper, stability analysis of sandwich toroidal shell segments (TSSs) with carbon nanotube (CNT)-reinforced face sheets featuring various types of auxetic cores, surrounded by elastic foundations under radial pressure is presented. Two distinct types of auxetic structures are considered for the core, including re-entrant auxetic structure and graphene origami (GOri)-enabled auxetic structure. The nonlinear stability equilibrium equations of the longitudinally shallow shells are formulated using the von Karman shell theory, in conjunction with Stein and McElman approximation while considering Winkler-Pasternak's elastic foundation to simulate the interaction between the shell and elastic foundation. The Galerkin method is employed to derive the nonlinear stability responses of the shells. The numerical investigations show the influences of various types of auxetic-core layers, CNT-reinforced face sheets, as well as elastic foundation on the stability of sandwich shells.

탄성층 사이에 접합된 압전재료의 계면균열에 대한 전기-기계적 해석 (Electro-Mechanical Analysis of Interfacial Cracks in a Piezoelectric Layer Bonded to Dissimilar Elastic Layers)

  • 정경문;김인옥;김지숙;범현규
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.120-128
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    • 2002
  • Interfacial cracks in a piezoelectric layer bonded to dissimilar elastic layers under the combined anti-plane mechanical shear and in-plane electrical leadings are considered. By using Fourier cosine transform, the mixed boundary value problem is reduced to a singular integral equation which is solved numerically to determine the stress intensity factors. Numerical results for the effects of the material properties and layer geometries on the stress intensity factors are obtained.

겹침이음부 및 국부적 층댐퍼를 갖는 보의 횡진동 특성 (Lateral Vibration of Beams with a Bonded Lap Joint and Partial Layered Dampers)

  • 박정일;최낙삼
    • 소음진동
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    • 제9권1호
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    • pp.174-183
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    • 1999
  • An analytical model for the lateral vibration of beams with a bonded lap joint and partial layered dampers has been proposed in this paper. Both shear and normal forces acting along the interface between the elastic and viscoelastic layers were considered in the vibration analysis. Analytical results were compared with those obtained by a finite element method. Effects of the size and location of layers in partial dampers on system loss factor($\eta_s$) and resonant frequency($\omega_r$) were studied. which showed that partial dampers adhered to the site exhibiting the maximum amplitude of vibration were most influential in the increase of $\eta_s$ and the decrease of $\omega_r$. Specific system loss factor( $\eta_s$ divided by total mass of system) was also evaluated in the analysis.

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스테인리스 강 클리드 알루미늄 판재의 일축인장시 변형거동 (EEFORMATION BEHAVIOR OF STAINLESS STEEL-CLAD ALUMINUM SHEET METALS UNDER UNIAXIAL TENSION)

  • 최시훈;김근환;오규환;이동녕
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1995년도 추계학술대회논문집
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    • pp.69-75
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    • 1995
  • The deformation behavior of stainless steel-clad aluminum sheet metals under uniaxial tension has been investigated. The differences in mechanical properties such as elastic modulus, flow stress and plastic strain ratio, of component layers of the composite sheet gave rise to warping of the tensile specimens. The warping has been analyzed by FEM and the total force and momentum equilibria. The analyzed radii of curvature of the warped specimens were smaller than the measured data possibly due to elastic recovery during unloading. The differences in mechanical properties may also give rise to transverse stresses in the component layers. The transverse stresses have been analyzed on the assumption of isostrain and by the FEM in which the warping has been taken into account. The transverse stresses calculated by the FEM were lower than those by the isostrain hypothesis due to stress relaxation by the warping and turned out to be negligible compared with the longitudinal stresses. Consequently, the flow stresses of the composite sheets follow the rule of mixtures.

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