• Title/Summary/Keyword: bulk moduli

Search Result 33, Processing Time 0.028 seconds

Elastic Moduli Determination of MgO Using Ultrasonic Interferometry (초음파 간섭법을 이용한 MgO 단결정의 체적탄성률 측정)

  • Kim, Young-Ho
    • Journal of the Mineralogical Society of Korea
    • /
    • v.13 no.3
    • /
    • pp.138-146
    • /
    • 2000
  • Using the ultrasonic interferometry on the single crystal MgO-periclase, adiabatic bulk moduli were determined to be 163.2 GPa and 162.6 GPa from (100) and (110) lattice plane measurements, respectively. Density was measured on polycrystalline MgO by the X-ray diffraction technique. Results from this study were compared with the previously reported values. Further, the present results were converted to the isothermal bulk moduli and, then compared with the published data available including the energy dispersive X-ray diffraction result which was performed on the same single crystal MgO. The principle and techniques ultrasonic interferometry were introduced too.

  • PDF

Mesoscale modeling of the temperature-dependent viscoelastic behavior of a Bitumen-Bound Gravels

  • Sow, Libasse;Bernard, Fabrice;Kamali-Bernard, Siham;Kebe, Cheikh Mouhamed Fadel
    • Coupled systems mechanics
    • /
    • v.7 no.5
    • /
    • pp.509-524
    • /
    • 2018
  • A hierarchical multi-scale modeling strategy devoted to the study of a Bitumen-Bound Gravel (BBG) is presented in this paper. More precisely, the paper investigates the temperature-dependent linear viscoelastic of the material when submitted to low deformations levels and moderate number of cycles. In such a hierarchical approach, 3D digital Representative Elementary Volumes are built and the outcomes at a scale (here, the sub-mesoscale) are used as input data at the next higher scale (here, the mesoscale). The viscoelastic behavior of the bituminous phases at each scale is taken into account by means of a generalized Maxwell model: the bulk part of the behavior is separated from the deviatoric one and bulk and shear moduli are expanded into Prony series. Furthermore, the viscoelastic phases are considered to be thermorheologically simple: time and temperature are not independent. This behavior is reproduced by the Williams-Landel-Ferry law. By means of the FE simulations of stress relaxation tests, the parameters of the various features of this temperature-dependent viscoelastic behavior are identified.

High-pressure synchrotron X-ray diffraction study of tremolite and actinolite in various fluids

  • Kong, Mihye;Vogt, Thomas;Lee, Yongjae
    • Current Applied Physics
    • /
    • v.18 no.11
    • /
    • pp.1218-1224
    • /
    • 2018
  • Pressure-dependent structural and morphological changes of two amphibole minerals, tremolite and actinolite, were investigated up to 7.0 GPa using synchrotron X-ray powder diffraction underthree different pressure transmission media (PTM): water (W), $CO_2$ and silicone oil (SI). The elastic response of tremolite and actinolite are found to be dependent on the PTM used. When using water (W) as PTM, tremolite and actinolite show normal volume contractions with bulk moduli of 74(1) and 78(1) GPa, respectively. When using $CO_2$ as PTM, we observe the formation of calcite from tremolite above 3.8(1) GPa, whereas actinolite did not show any carbonation reaction. Under silicone oil PTM, we observe modulated volume contraction behaviors in both samples, compared to water and $CO_2$ PTM, with bulk moduli in the order of 90(1) and 94(4) GPa for tremolite and actinolite, respectively.

Computational viscoelastic modeling of strain rate effect on recycled aggregate concrete

  • Suthee Piyaphipat;Boonchai Phungpaingam;Kamtornkiat Musiket;Yunping Xi
    • Computers and Concrete
    • /
    • v.32 no.4
    • /
    • pp.383-392
    • /
    • 2023
  • The mechanical properties of Recycled Aggregate Concrete (RAC) with 100 percent Recycled Coarse Aggregate (RCA) under loading rates were investigated in depth. The theoretical model was validated utilizing the RAC elastic modulus obtained from cylindrical specimens subjected to various strain rates. Viscoelastic theories have traditionally been used to describe creep and relaxation of viscoelastic materials at low strain rates. In this study, viscoelastic theories were extended to the time domain of high strain rates. The theory proposed was known as reversed viscoelastic theory. Normalized Dirichlet-Prony theory was used as an illustration, and its parameters were determined. Comparing the predicted results to the experimental data revealed a high level of concordance. This methodology demonstrated its ability to characterize the strain rate effect for viscoelastic materials, as well as its applicability for determining not only the elastic modulus for viscoelastic materials, but also their shear and bulk moduli.

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
    • /
    • v.11 no.5
    • /
    • pp.372-377
    • /
    • 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'.

  • PDF

Constitutive Modeling for Resilient Behavior of Granular Materials under Repeated Loading (반복하중을 받는 입상재료의 회복탄성거동에 관한 구성모델)

  • Rhee, Suk Keun
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.14 no.4
    • /
    • pp.827-838
    • /
    • 1994
  • Numerous pavement response models rely on constitutive relationships to describe the response of granular materials. In this study, a nonlinear elastic constitutive model which is a function of bulk stress and octahedral shear stress is proposed to describe the resilient behavior of thick granular base courses under flexible airfield pavements. Special features of this model are its accuracy to predict the nonlinear resilient behavior, its simplicity to determine the material constants and its ability to model the secondary effect of decreasing the resilient modulus due to shear effects. In laboratory tests, the nonlinear resilient behavior of granular materials is investigated and values of resilient moduli are determined to provide data for verifying the proposed model. It is found that the resilient modulus is much more dependent on the states of stresses in terms of bulk stress and deviator stress than any other factors. Result of comparison shows that predicted values of resilient moduli are in good agreement with the measured values indicating that the proposed model is suitable to describe the nonlinear resilient behavior of the granular material with wide range of stress states which meet in airfield pavements.

  • PDF

Compressibility of $FeS_{2}$ ($FeS_{2}$의 압축성 연구)

  • Kim, Young-Ho;Hwang, Gil-Chan;Cho, Hyen-Goo
    • Journal of the Mineralogical Society of Korea
    • /
    • v.19 no.3 s.49
    • /
    • pp.189-195
    • /
    • 2006
  • Compression work on a pyrite powder has been carried out using energy dispersive X-ray diffraction (EDXRD) with Mao-Bell type diamond anvil cell (DAC) and synchrotron radiation(SR) at room temperature. It has been reported the bulk moduli of pyrite show the large variations depending on the experimental conditions as well as the apparatus used. Thus, two kinds of sample in different pressure transmitting media of both NaCl and MgO powder emerged in alcoholic fluids were subjected to measure their compressibilities. Bulk moduli thus obtained are 138.9 GPa and 198.2 GPa, respectively, and this result contradicts to the anticipated values according to the hydrostaticity conditions of the sample chamber. This might be due to the alcoholic fluids phase transition mainly with the side effects from the difference of both solid state detector (SSD) used and E*d value applied. All experiments were performed at the Beam Line 1B2 of Pohang Light Source (PLS).

Elastic and Electronic Properties of Point Defects in Titanium Carbide

  • Kang, Dae-Bok
    • Journal of the Korean Chemical Society
    • /
    • v.57 no.6
    • /
    • pp.677-683
    • /
    • 2013
  • A theoretical study of the electronic structures of $TiC_{1-x}$ and $Ti_{1-x}W_xC$ (x = 0, 0.25) is presented. The density of states and crystal orbital overlap population calculations were used to interpret variations of elastic properties induced by carbon vacancies and alloying substitutions. Our results show why the introduction of vacancies into TiC reduces bulk moduli, while W substitution at a Ti site increases the elastic modulus. The effect of the point defects on the bonding in TiC is investigated by means of extended Huckel tight-binding band calculations.

Measurement and Evaluation of Thermal Expansion Coefficients of Micrometer-Sized SiO2 Particle-Reinforced Epoxy Composites (마이크로미터 크기 실리카 입자로 강화된 에폭시 복합재료의 열팽창계수 측정 및 평가)

  • Jo, Hyu Sang;Kang, Hee Yong;Lee, Gyo Woo
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.39 no.2
    • /
    • pp.129-135
    • /
    • 2015
  • In this experimental study, the thermal stability values of micrometer-sized silica particle-reinforced epoxy composite specimens were evaluated by measuring their thermal expansion coefficients and Young's moduli. For all specimens used in this study (from the baseline specimen to that containing 70 wt% silica filler), the thermal expansion coefficients and Young's moduli were gradually reduced down to 25% and increased up to 51%, respectively. The results of the experiment were compared with those of certain empirical models. The experimental results of the measurement of thermal expansion coefficients corresponded well with those of Kerner's model, which considers the bulk and shear moduli of the matrix and silica filler. However, the results of the measurement of Young's moduli using the empirical Mori-Tanaka model were observed to match better with those of the experiment. The comparison of the results of the experiment with those of the empirical models demonstrated that a reliable model for measuring the thermal expansion coefficients and Young's moduli of composite specimens needs to consider certain property variations in the composites in addition to volume fraction changes in the filler and matrix.

SiAlON Bulk Glasses and Their Role in Silicon Nitride Grain Boundaries: Composition-Structure-Property Relationships

  • Hampshire, Stuart;Pomeroy, Michael J.
    • Journal of the Korean Ceramic Society
    • /
    • v.49 no.4
    • /
    • pp.301-307
    • /
    • 2012
  • SiAlON glasses are silicates or alumino-silicates, containing Mg, Ca, Y or rare earth (RE) ions as modifiers, in which nitrogen atoms substitute for oxygen atoms in the glass network. These glasses are found as intergranular films and at triple point junctions in silicon nitride ceramics and these grain boundary phases affect their fracture behaviour. This paper provides an overview of the preparation of M-SiAlON glasses and outlines the effects of composition on properties. As nitrogen substitutes for oxygen in SiAlON glasses, increases are observed in glass transition temperatures, viscosities, elastic moduli and microhardness. These property changes are compared with known effects of grain boundary glass chemistry in silicon nitride ceramics. Oxide sintering additives provide conditions for liquid phase sintering, reacting with surface silica on the $Si_3N_4$ particles and some of the nitride to form SiAlON liquid phases which on cooling remain as intergranular glasses. Thermal expansion mismatch between the grain boundary glass and the silicon nitride causes residual stresses in the material which can be determined from bulk SiAlON glass properties. The tensile residual stresses in the glass phase increase with increasing Y:Al ratio and this correlates with increasing fracture toughness as a result of easier debonding at the glass/${\beta}-Si_3N_4$ interface.