• Title/Summary/Keyword: effective moduli

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A Numerical Approach to Effective Elastic Moduli of Solids with Microinclusions and Microvoids (미소 개재물과 기공을 갖는 고체의 유효탄성계수에 대한 수치적 접근)

  • Kang, Sung-Soo
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.6
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    • pp.852-859
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    • 2009
  • For the analysis of solids containing a number of microinclusions or microvoids, in which the mechanical effect of each inclusion or void, a numerical approach is need to be developed to understand the mechanical behavior of damaged solids containing these defects. In this study, the simulation method using the natural element method is proposed for the analysis of effective elastic moduli. The mechanical effect of each inclusion or void is considered by controlling the material constants for Gaussian points. The relationship between area fraction of microinclusions or microvoids and effective elastic moduli is studied to verify the validity of the proposed method. The obtained results are in good agreement with the theoretical results such as differential method, self-consistent method, Mori-Tanaka method, as well as the numerical results by rigid body spring model.

Evaluation of Elastic Modulus of Concrete Using Micro-mechanics Models (콘크리트 탄성계수의 미시역학적 추정)

  • 유동우;조호진;송하원;변근주
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.345-349
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    • 1995
  • Although heterogeneous materials consisted of micro-constituents are complicated, it is possible to evaulate effective elastic moduli by using micro-mechanics models. In order to evaluate effective elastic moduli of concrete, all aggregates in a representative volume element(RVE) are assumed spherical and randomly distributed. A dilute distribution of inclusions is considered first, and the corresponding overall elastic moduli of the RVE are estimated. Then, the self-consistent method is used in order to take into account the interaction effects. The elastic moduli of concrete are calculated using the models and compared with those of experiment for different volume fractions of the aggregates and elastic moduli of the mortar and the aggregates.

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Changes of Effective Elastic Moduli due to Crack Growth in Rock (암석내의 균열전파에 따른 유효탄성계수의 변화)

  • 신종진;전석원
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.301-308
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    • 2000
  • Non-linear behavior of rock under compression can be predicted by a crack model. Crack growth in rock renders rock anisotropic. The degree of anisotropy is explained in terms of elastic moduli as a function of load level. In this study, we calculate the changes of elastic moduli due to crack growth numerically by using a crack model and compare these values with experimental results obtained from the measurement of ultrasonic wave velocities. Image processing technique is used to obtain the initial crack information needed for the numerical calculation of elastic moduli.

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Micromechanical Models for the Evaluation of Elastic Moduli of Concretes (콘크리트 탄성계수 추정의 미시역학적 모델)

  • 조호진;송하원;변근주
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.04a
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    • pp.383-391
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    • 1997
  • The prediction of effective properties of heterogeneous material like concrete is of primary importance in design or analysis. This paper os about micromechanice-based evaluation of elastic moduli of concretes considering composite material behavior. In this study, micromechanixe-based schemes for the effective elastic modui of the lightweight foamed concrete and the normal concrete are proposed based on averaging techniques using a single-layered inclusion model and a multi-phase and multi-layered inclusion model. respectively, For the verification's sake, elastic moduli evaluated in this study are compared with experimental data and results by existing formula.

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Micromechanical Properties in Elastically Inhomogeneous Materials (Part II : Elastic Moduli and Thermal Expansion Coefficients) (탄성 불균질 재료의 미시역학거동 (Part II : 탄성계수 및 열팽창계수))

  • Gang, Chang-Seok;Hong, Seong-Gil;Wakashima, Kenji
    • Korean Journal of Materials Research
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    • v.11 no.5
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    • pp.372-377
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    • 2001
  • A theory developed in Part I has been applied to calculate effective elastic and thermoelastic moduli of particle-strengthened, unidirectionally fiber-reinforced, and layered composites. For the unidirectional fiber composites the effect of fiber aspect ratio is taken into account. The analytical solutions obtained to the effective elastic moduli are compared with some of existing expressions and the following results are found. The effective bulk and shear moduli of the particle strengthened composites coincide with Korner's expressions, which correspond with the lower bounds of Hanshin and Shtrikman. The same expressions as the lower bounds of Hill and Hanshin are obtained for five independent moduli of the aligned continuous fiber composites, four of which coincide with Hanshin and Rosen's exact solutions for 'composite cylinder assemblage'.

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Changes of Effective Elastic Moduli due to Crack Growth in Rock (암석내의 균열전파에 따른 유효탄성계수의 변화)

  • 신종진;전석원
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.47-55
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    • 2000
  • Non-linear behavior of rock under compression can be predicted by a crack model. Crack growth in rock renders rock anisotropic. The degree of anisotropy is explained in terms of elastic moduli as a function of load level. In this study, we calculate the changes of elastic moduli due to crack growth numerically by using a crack model and compare these values with experimental results obtained from the measurement of ultrasonic wave velocities. Image processing technique is used to obtain the initial crack information needed for the numerical calculation of elastic moduli.

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An Analytical Study on Prediction of Effective Properties n Porous and Non-Porous Piezoelectric Composites

  • Lee Jae-Kon
    • Journal of Mechanical Science and Technology
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    • v.19 no.11
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    • pp.2025-2031
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    • 2005
  • Eshelby type micro mechanics model with a newly developed piezoelectric Eshelby tensor is proposed for predicting the effective electroelastic properties of the piezoelectric composite. The model is applied for piezoelectric solids containing both porosities and metal inhomogeneities. The effective electroelastic moduli of the composites such as stiffness, piezoelectric constants, and dielectric constants are predicted by the present model, which are extensively compared with the existing experimental results from the literatures. The validity of Eshelby type model for predicting the effective properties of the composite is thoroughly examined. It can be concluded from this study that a new mechanism is needed to compute correctly the dielectric constants among the effective properties of the composites.

A Study on the Spreadability Characteristics of Asphalt Concrete Pavement using Dynaflect (DYNAFLECT에 의한 아스팔트 콘크리트 포장도로의 분산도 특성에 관한 연구)

  • Kim, Su-Il;Choe, Jeong-Hun;Yu, Ji-Hyeong
    • Geotechnical Engineering
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    • v.3 no.1
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    • pp.53-64
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    • 1987
  • Dynaflect is known as a very effective equipment for the structural evaluation and rehabilitation of Pavements. It is increasingly used in the design, construction and maintenance of the various pavement structures. In this study, two-layered asphalt concrete pavements with the various moduli and thicknesses are selected as the analytical models. The deflections on the surface corresponding to sensor positions of Dynaflect are analyzed utilizing the multi-layered elastic computer program. From the study of the characteristics of spreadability (SPR), it is found that the SPRs are unique when the moduli ratio of pavements EIIE2 are identical. It is also found that the SPR has a linear relationship with the logarithm of moduli ratio ElIE2 in the range of 1.0 to 50. The regression equation to predict the moduli ratio ElyE2 from the SPR and the pavement taickness h is proposed. A series of charts to estimate the elastic moduli of two-layered asphalt concrete pavement system are also developed.

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