• Title/Summary/Keyword: Effective elastic properties

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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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Out-of-Plane Elastic Buckling of X-Bracing System with Fixed Ends (고정 지점을 갖는 X-브레이싱의 탄성 면외 좌굴)

  • Moon, Ji-Ho;Yoon, Ky-Yong;Lee, Hak-Eun
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.293-296
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    • 2007
  • This study investigated the out-of-plane elastic buckling load and effective length factor of X-bracing system. The members of X-bracing system which are studied in this paper are rigidly attached to the structure at their end connections, and are pinned or rigidly connected at their point of intersection. The effective length factors are derived for the general case where the tension and compression brace have different material and geometrical properties.

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Micromechanics Modeling of Functionally Graded Materials Containing Multiple Heterogeneities

  • Yu, Jaesang;Yang, Cheol-Min;Jung, Yong Chae
    • Composites Research
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    • v.26 no.6
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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.

Effective Properties of Multi-layered Multi-functional Composites

  • Kim, Byeong-Chan;Baltazar, Arturo;Kim, Jin-Yeon
    • Advanced Composite Materials
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    • v.18 no.2
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    • pp.153-166
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    • 2009
  • A matrix method for evaluating effective electro-magneto-thermo-elastic properties of a generally anisotropic multilayered composite is presented. Physical variables are categorized into two groups: one that satisfies the continuity across the interface between layers and another that satisfies an average inter-layer compatibility (which is also exact). The coupled electro-magneto-thermo-elastic constitutive equation is accordingly reassembled into submatrices, which leads to the derivation of concise and exact matrix expressions for effective properties of a multilayered composite having the coupled physical effects. Comparing the results for a purely elastic multiplayer with those from other theoretical approaches validates the developed method. Examples are given for a PZT-graphite/epoxy composite and a $BaTiO_3-CoFe_2O_4$ multiplayer which exhibit piezo-thermoelastic and magnetoelectric properties, respectively. The result shows how a strong magnetoelectric effect can be achieved by combining piezoelectric and piezomagnetic materials in a multilayered structure. The magnetoelectric coefficient of the $BaTiO_3-CoFe_2O_4$ multiplayer is compared with those for fibrous and particulate composites fabricated with the same constituents.

Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • v.59 no.2
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

A novel meso-mechanical model for concrete fracture

  • Ince, R.
    • Structural Engineering and Mechanics
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    • v.18 no.1
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    • pp.91-112
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    • 2004
  • Concrete is a composite material and at meso-level, may be assumed to be composed of three phases: aggregate, mortar-matrix and aggregate-matrix interface. It is postulated herein that although non-linear material parameters are generally used to model this composite structure by finite element method, linear elastic fracture mechanics principles can be used for modelling at the meso level, if the properties of all three phases are known. For this reason, a novel meso-mechanical approach for concrete fracture which uses the composite material model with distributed-phase for elastic properties of phases and considers the size effect according to linear elastic fracture mechanics for strength properties of phases is presented in this paper. Consequently, the developed model needs two parameters such as compressive strength and maximum grain size of concrete. The model is applied to three most popular fracture mechanics approaches for concrete namely the two-parameter model, the effective crack model and the size effect model. It is concluded that the developed model well agrees with considered approaches.

Elastic Analysis of Honeycomb Materials Considering Cell Size and Cell Wall Thickness (셀 크기와 셀벽 두께를 고려한 하니컴 재료의 탄성 해석)

  • 김형구;최낙삼
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.157-160
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    • 2003
  • Honeycomb sandwich composite structures have been widely used in aircraft and military industry because of light weight and high stiffness. Accurate mechanical properties of honeycomb materials are needed for analysis of sandwich composites. In this study, theoretical formula for elastic modulus of honeycomb materials was established considering bending and axial deformations of their walls. Finite-element analysis results were compared with theoretical ones of the longitudinal and transverse moduli of honeycomb materials. Consequently, the mechanical properties of honeycomb materials could be analytically predicted.

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A Theoretical Study on the Dispersion of Elastic Waves in Particulate Composites (입자복합재료 내부의 탄성파 분산에 관한 이론적 연구)

  • 김진연;이정권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1697-1704
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    • 1994
  • Elastic wave propagation in discrete random medium studies to predict dynamic effective properties of composite materials containing spherical inclusions. A self-consistent method is proposed which is analogous to the well-known coherent potential approximation. Three conditions that must be satisfied by two effective elastic moduli and effective density are derived for the time without limit of frequency. The derived self-consistency conditions have the physical meaning that the scattering of coherent wave by the constituents in effective medium is vanished on the average. The frequency-dependent complex effective wave speed and coherent attenuation can be obtained by solving the derived self-consistency conditions numerically. The wave speed and attenuation obtained from present theory are shown to be in the better agreements with previous experimental observations than the previous theory.

Predictions of elastic properties of stitched multi-warped knitted composites (다축경편 복합재료 물성의 스티칭 효과)

  • Kim, Hyung-Woo;Chun, Heoung-Jae;Byun, Joon-Hyung
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.04a
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    • pp.125-129
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    • 2005
  • A micromechanical model for predicting the elastic constants of stitched multi-axial warp knitted (MWK) composite is developed. The averaging method is used to obtain effective properties of stitched MWK fabric composites. In the analysis, a representative volume of the MWK fabric composite is identified. The geometric limitations, effects of stitching yarns and design parameters of MWK fabric composites are considered in the model. Then, the elastic properties of stitched MWK fabric composites are predicted. Finally, the predicted elastic constants are validated by comparison with experimental data. The predicted results are in fair agreement with the experimental results.

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Elastic Property Extraction System of Polycrystalline Thin-Films for Micro-Electro-Mechanical System Device and Application to Polycrystalline Materials (MEMS 부품을 위한 다결정 박막의 탄성 물성치 추출 시스템과 다결정 재료의 적용)

  • Jung H. N.;Choi J. H.;Chung H. T.;Lee J. K.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.19-22
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    • 2004
  • A numerical system to extract effective elastic properties of polycrystalline thin-films for MEMS devices is already developed. In this system, the statistical model based on lattice system is used for modeling the microstructure evolution simulation and the key kinetics parameters of given micrograph, grain distributions and deposition process can be extracted by inverse method proposed in the system. In this work, the effective elastic properties of polysilicon, $BaTiO_3\;and\;ZrTiO_4$ are extracted using this system and by employing the fraction of the potential site($f_P$) as a kinetics parameter for the microstructure evolution, the statistical tendency of these materials is studied.

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