• 제목/요약/키워드: elastic modulus equation

검색결과 144건 처리시간 0.027초

탄소섬유쉬트의 재료 역학적 특성에 관한 연구 (Study on the mechanical Properties of Carbon Fiber Sheet)

  • 이한승
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 가을 학술발표대회 논문집(III)
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    • pp.803-808
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    • 1998
  • As carbon fiber is a light-weight materials, high tensile strength and durability compared with rebar, the retrofitting method for RC structures using carbon fiber sheet (CFS) must be use widely. In this paper, the tensile strength test for carbon fiber sheet variable of CF's weight and elastic modulus to evaluate the design tensile strength of carbon fiber sheet which is needed for the strengthening design of CFS and the calculation of strengthening effect. As a result, the design tensile strength of CFS can be calculate using the effect coefficient of strengthening(α) of CFS, the average tensile strength of CFS and the standard deviation of CFS(equation 5)

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고출력 LED 인캡슐런트용 실리콘 레진의 경화공정중 잔류응력 발달에 대한 유한요소해석 (Finite Element Analysis of Residual Stress Evolution during Cure Process of Silicone Resin for High-power LED Encapsulant)

  • 송민재;김흥규;강정진;김권희
    • 한국정밀공학회지
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    • 제28권2호
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    • pp.219-225
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    • 2011
  • Silicone resin is recently used as encapsulant for high-power LED module due to its excellent thermal and optical properties. In the present investigation, finite element analysis of cure process was attempted to examine residual stress evolution behavior during silicone resin cure process which is composed of chemical curing and post-cooling. To model chemical curing of silicone, a cure kinetics equation was evaluated based on the measurement by differential scanning calorimeter. The evolutions of elastic modulus and chemical shrinkage during cure process were assumed as a function of the degree of cure to examine their effect on residual stress evolution. Finite element predictions showed how residual stress in cured silicone resin can be affected by elastic modulus and chemical shrinkage behavior. Finite element analysis is supposed to be utilized to select appropriate silicone resin or to design optimum cure process which brings about a minimum residual stress in encapsulant silicone resin.

CBR과 압밀 비배수 시험에 의한 탄성계수와의 상관관계에 대한 실험적 연구 (A Study on the Experimental Relationship between KS CBR and Elastic Modulus from Consolidated Undrained Triaxial Tests)

  • 김수일;이광호;권무성
    • 한국지반공학회지:지반
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    • 제7권4호
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    • pp.25-34
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    • 1991
  • 본 연구에서는 KS규정에 의한 CBR 값과 삼축압축시험을 이용하여 구한 탄성계수와의 관계를 구명하였다. 시료는 통일분류법에 의하여 5가지로 분류된 전국고속도로 15개 지점에서 채취한 노상 토재료를 선정하였으며 각 시료에 대하여 CBR시험과 삼축압축시첩을 병행하여 실시하였다. 압 밀 비배수 삼축압축시헙 (CU triaxial teat)을 실시하여 얻어진 응력과 변형률의 관계로부터 탄성 계수를 산정하였으며 노상에 발생되는 모든 응력상태에 적용할 수 있도록 일반화하기 위하여 삼축 압축시험시 구속음력은 3가지로 달리하여 실험하였다. 실험결과로부터 얻은 수정 CBR값과 탄성계수간의 상관관계를 회귀분석하여, 구속음력과 유효 평균주응력의 함수로 표현된 탄성계수와 수정 CBR값과의 관계식들을 제안하였다. 또한 D-2 다짐에 의하여 얻어진 최대 건조밀도와 수정 CBR값과의 상관관계식을 제안하였다.

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Non-linear time-dependent post-elastic analysis of suspended cable considering creep effect

  • Kmet, S.;Tomko, M.;Brda, J.
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.197-222
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    • 2006
  • In this paper, the non-linear time-dependent closed-form, discrete and combined solutions for the post-elastic response of a geometrically and physically non-linear suspended cable to a uniformly distributed load considering the creep effects, are presented. The time-dependent closed-form method for the particularly straightforward determination of a vertical uniformly distributed load applied over the entire span of a cable and the accompanying deflection at time t corresponding to the elastic limit and/or to the elastic region, post-elastic and failure range of a suspended cable is described. The actual stress-strain properties of steel cables as well as creep of cables and their rheological characteristics are considered. In this solution, applying the Irvine's theory, the direct use of experimental data, such as the actual stress-strain and strain-time properties of high-strength steel cables, is implemented. The results obtained by the closed-form solution, i.e., a load corresponding to the elastic limit, post-elastic and failure range at time t, enable the direct use in the discrete non-linear time-dependent post-elastic analysis of a suspended cable. This initial value of load is necessary for the non-linear time-dependent elastic and post-elastic discrete analysis, concerning incremental and iterative solution strategies with tangent modulus concept. At each time step, the suspended cable is analyzed under the applied load and imposed deformations originated due to creep. This combined time-dependent approach, based on the closed-form solution and on the FEM, allows a prediction of the required load that occurs in the post-elastic region. The application of the described methods and derived equations is illustrated by numerical examples.

다중회귀분석 및 인공신경망을 통한 암종별 물리적 특성간의 상관관계에 대한 연구 (A Study on the Correlations between the Physical Characteristics of Rock Types by Multiple Regression Analysis and Artificial Neural Network)

  • 김병국;이벽규;장승진;이수곤
    • 지질공학
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    • 제28권4호
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    • pp.673-686
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    • 2018
  • 암반을 구성하는 암석의 물리적 특성에 대하여 약 2,400개의 자료의 7가지 물리적 특성을 암종별, 강도별, 대표암석별로 다양한 방법을 통하여 상관관계 및 특성을 분석하였다. 상관관계는 다중회귀분석 방법으로 유의수준을 통해 유의한 독립변수를 선별하여 종속변수와의 상관관계식을 도출해내었으며 인공신경망 학습을 수행하여 실제 데이터와의 비교를 통하여 검증을 수행하여 신뢰성을 확인하였다. 암종별, 강도별 분석결과, 종속변수에 영향을 미치는 독립변수로는 탄성파속도(압축파), 탄성계수가 주요 영향인자로 작용하는 것을 확인하였다. 이는 기존연구에서 상기항목을 이용한 관계식이 대다수를 이루고 있는지를 증명할 수 있으며, 각종 기준에서 암반분류를 상기항목으로 기준으로 하는지를 본 연구를 통하여 확인할 수 있었다. 또한 대표암석 분석결과, 일축압축강도와 탄성계수를 추정할 수 있는 관계식이 결정계수 0.8을 상회하므로 상관관계가 높은 것으로 분석되었다.

Mode III SIFs for interface cracks in an FGM coating-substrate system

  • Monfared, Mojtaba Mahmoudi
    • Structural Engineering and Mechanics
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    • 제64권1호
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    • pp.71-79
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    • 2017
  • In this study, interaction of several interface cracks located between a functionally graded material (FGM) layer and an elastic layer under anti-plane deformation based on the distributed dislocation technique (DDT) is analyzed. The variation of the shear modulus of the functionally graded coating is modeled by an exponential and linear function along the thickness of the layer. The complex Fourier transform is applied to governing equation to derive a system of singular integral equations with Cauchy type kernel. These equations are solved by a numerical method to obtain the stress intensity factors (SIFs) at the crack tips. The effects of non-homogeneity parameters for exponentially and linearly form of shear modulus, the thickness of the layers and the length of crack on the SIFs for several interface cracks are investigated. The results reveal that the magnitude of SIFs decrease with increasing of FG parameter and thickness of FGM layer. The values of SIFs for FGM layer with exponential form is less than the linear form.

압축하중을 받는 방진고무의 동특성 해석 및 실험 (Analysis and Experiment of the Dynamic Characteristics of Rubber Materials for Anti-Vibration under Compression)

  • 김국원;임종락;한용희;손희기;안태길
    • 소음진동
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    • 제8권5호
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    • pp.900-907
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    • 1998
  • Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material for design function. However, there are still a lot of difficulties in the understanding of dynamic characteristics of the rubber components in compression. In this paper, the dynamic characteristics of rubber materials for anti-vibration under compression were investigated. Dynamic and static tests for rubber material with 3 different hardness were performed. In dynamic tests, non-resonance method, impedance method, was used to obtain the complex modulus(storage modulus and loss factor) and the effects of static pre-strain on the dynamic characteristics were investigated. Also, a relation equation between linear dynamic and nonlinear static behavior of rubber material was discussed and its usefulness to predict their combined effects was investigated.

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Application of numerical methods for dynamic response induced by moving load on concrete shells containing nanoparticles with economic study

  • Taoqian Xie;Wei Han;Haoqi Chang;M.R. Motaghedfer
    • Advances in nano research
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    • 제16권3호
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    • pp.303-311
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    • 2024
  • This paper conducts a thorough economic evaluation of integrating nanoparticles into concrete structures within the construction industry, aiming to elevate the material properties of concrete. Employing the Halpin-Tsai micromechanics theory for deriving the effective material properties of the nanocomposite concrete structure, the research investigates the nuanced impact of nanoparticles on various mechanical properties, including the modulus of elasticity, compressive strength, and their indirect effects on the percentage of reinforcement. Implementing the Euler theory to formulate the governing equation based on Hamilton's principle, the study delves into the pricing dynamics of nanoparticles and their influence on the overall cost structure of concrete structures. Notably, the findings reveal that a measured increase in the volume percentage of nanoparticles, up to 1%, results in a remarkable 78% improvement in elastic modulus and a substantial 142% reduction in armature percentage. Remarkably, from an economic perspective, the incremental cost associated with the integration of nanoparticles is relatively modest (around $1 per ton of concrete), considering the substantial enhancements in mechanical properties achieved.

Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
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    • 제10권5호
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    • pp.1033-1048
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    • 2016
  • An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature.

반 무한 복합체의 Rayleigh 표면파에 대한 이방성비의 영향 (Effect of Anisotropic Ratio for Rayleigh Wave of a Half-Infinite Composite Material)

  • 백운철;황재석;송용태
    • 대한기계학회논문집A
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    • 제25권3호
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    • pp.502-509
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    • 2001
  • In this paper, when stress waves are propagated along the reinforced direction of the composite, the characteristic equation of Rayleigh wave is derived. The relationships between velocities of stress waves and Rayleigh wave are studied for anisotropic ratios(E(sub)11/E(sub)12 or E(sub)22/E(sub)11). The increments of anisotropic ratios is made by using known material properties and being constant of basic properties. When the anisotropic ratios are increased, Rayleigh wave velocities to the shear wave velocities are almost equal to 1 with any anisotropic ratios. Rayleigh wave velocities to the longitudinal wave velocities and Shear wave velocities ratio to the longitudinal wave velocities are almost identical each other, they are between 0.12 and 0.21. When the anisotropic ration is very high, that is, E(sub)11/E(sub)22=46.88, Rayleigh wave velocities and the shear wave velocities are almost constant with Poissons ratio, longitudinal wave velocities are very slowly increased with the increments of Poissons ratios. When E(sub)11(elastic modulus of the reinforced direction)and ν(sub)12 are constant, Rayleigh wave velocities and the shear wave velocities are steeply decreased with the increments of anisotropic ratios and the velocities of longitudinal wave are almost constant with them. When E(sub)22(elastic modulus of the normal direction to the fiber) and ν(sub)12 are constant, Rayeigh wave velocities is slowly increased with the increments of anisotropic ratios, the shear wave velocities are almost constant with them, the longitudinal wave velocities are steeply increased with them.