• Title/Summary/Keyword: bulk modulus

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Absolute effective elastic constants of composite materials

  • Bulut, Osman;Kadioglu, Necla;Ataoglu, Senol
    • Structural Engineering and Mechanics
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    • v.57 no.5
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    • pp.897-920
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    • 2016
  • The objective is to determine the mechanical properties of the composites formed in two types, theoretically. The first composite includes micro-particles in a matrix while the second involves long, thin fibers. A fictitious, homogeneous, linear-elastic and isotropic single material named as effective material is considered during calculation which is based on the equality of the strain energies of the composite and effective material under the same loading conditions. The procedure is carried out with volume integrals considering a unique strain energy in a body. Particularly, the effective elastic shear modulus has been calculated exactly for small-particle composites by the same procedure in order to determine of bulk modulus thereof. Additionally, the transverse shear modulus of fiber reinforced composites has been obtained through a simple approach leading to the practical equation. The results have been compared not only with the outcomes in the literature obtained by different method but also with those of finite element analysis performed in this study.

Compressibility Study of Pyromorphite at High Pressure (고압 하에서 녹연석의 압축성에 대한 연구)

  • Kim, Young-Ho;Lee, Nuri
    • Journal of the Mineralogical Society of Korea
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    • v.29 no.4
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    • pp.191-198
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    • 2016
  • Pyromorphite($Pb_{4.85}(P_{1.02}O_4)_3Cl_{1.04}$) which belongs to the apatite group was compressed up to 33.4 GPa for its equation of state at ambient temperature. High pressure experiment was performed with symmetrical diamond anvil cell employing the angle dispersive X-ray diffraction method. Pressure was determined by ruby fluorescence calibration method. No phase transition were observed and bulk modulus was determined to be 80(7) GPa when $K{_0}^{\prime}=13(2)$. Employing the normalized pressure-normalized strain analysis, reliability check of the compressible behavior was conducted.

Modeling the Behavior of Trapped Air in Die Cavity During Sheet Metal Forming (판재성형 해석시 금형내의 공기거동 모델링)

  • Choi, Kwang-Yong;Kim, Heon-Young
    • Transactions of Materials Processing
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    • v.20 no.5
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    • pp.377-386
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    • 2011
  • During stamping processes, the air trapped between sheet metal and the die cavity can be highly compressed and ultimately reduce the shape accuracy of formed panels. To prevent this problem, vent holes and passages are sometimes drilled into the based on expert experience and know-how. CAE can be also used for analyzing the air behavior in die cavity during stamping process, incorporating both elasto-plastic behavior of sheet metal and the fluid dynamic behavior of air. This study presents sheet metal forming simulation combined simultaneously with simulation of air behavior in the die cavity. There are three approaches in modeling of air behavior. One is a simple assumption of the bulk modulus having a constant pressure depending on volume change. The next is the use of the ideal gas law having uniform pressure and temperature in air domain. The third is FPM (Finite point method) having non-uniform pressure in air domain. This approach enables direct coupling of mechanical behavior of solid sheet metal and the fluid behavior of air in sheet metal forming simulation, and its result provides the first-hand idea for the location, size and number of the vent holes. In this study, commercial software, PAM-$STAMP^{TM}$ and PAM-$SAFE^{TM}$, were used.

Compression Study of Goethite at Room Temperature (상온에서 괴타이트에 대한 압축 연구)

  • Kim, Y.H.;Hwang, G.C.;Do, J.K.
    • Journal of the Mineralogical Society of Korea
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    • v.20 no.4
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    • pp.261-266
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    • 2007
  • A natural FeOOH-goethite was compressed up to 9.5 GPa at room temperature using a DIA-type large volume apparatus with synchrotron radiation. Energy dispersive x-ray diffraction method was employed to measure its compressibility and NaCl was used for high pressure determinations. Bulk modulus was determined to be 131.1 (${\pm}5.8$) GPa by the Birch-Murnaghan equation of state with $K_0'$ fixed to 4. The present result is not in accord with the previous measurements, which vary from 111 to 147.9 GPa.

Comparison of Force Control Characteristics Between Double-Rod and Single-Rod Type Electro-Hydrostatic Actuators (I): Tracking Performance (양로드형과 편로드형 EHA의 힘 제어 특성 비교(I): 추종 성능)

  • Kim, Jong Hyeok;Hong, Yeh Sun
    • Journal of Drive and Control
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    • v.14 no.4
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    • pp.9-16
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    • 2017
  • In this study, the force tracking performance of the single-rod and double-rod type EHAs (Electro-Hydrostatic Actuators) was compared by computer simulation and experiments. The force-controlled EHAs exhibit non-linear behavior that are significantly dependent on operation conditions. The investigation focused on localizing the parameters that provide significant rise to the non-linearity. For this, the single-rod and double-rod type EHAs were mathematically expressed to derive their linear models. In parallel, they were modeled by a commercial simulation program including non-linear properties based on experimental results. It was shown that the dependency of the bulk modulus of oil with entrapped air on working pressure dominated the non-linearity in force control performance in case of the double-rod type EHA. The force control of the single-rod type EHA was influenced by much more elements. Besides the asymmetrical piston geometry and the non-linear bulk modulus of oil, its pilot-operated check valves made it dependent not only on the magnitude of reference input but also on its direction.

Analysis of Compressive Characteristics of Wire-woven Bulk Kagome (Wire-woven Bulk Kagome의 압축 특성 분석)

  • Lee, Byung-Kon;Choi, Ji-Eun;Kang, Ki-Ju;Jeon, In-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.70-76
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    • 2008
  • Periodic cellular metals (PCMs) are actively being investigated because of their excellent specific strength and stiffness, and multi-functionality such as a heat disperse structure bearing external loading. The Kagome truss PCM has been proved that it has higher resistance to plastic buckling and lower anisotropy than other truss PCMs. In this paper, the out-of-plane compressive responses of the WBK specimens have been measured, theoretically predicted and numerically analyzed. Three specimens of two-layered WBK are fabricated and tested for measuring the responses. The peak stress of compressive behavior and effective elastic modulus are predicted based on the equilibrium equation and elastic energy conservation. Moreover, the structure of the specimen is modeled using the commercial mesh generation code, PATRAN and the finite element analysis for the model under the compression is carried out using the commercial FE code, ABAQUS. Finally, the obtained results are compared with each other to analyze the compressive characteristics of Wire-woven Bulk Kagome (WBK).

Optimal design of an Wire-woven Bulk Kagome using taguchi method (다구찌법을 이용한 WBK(Wire-woven Bulk Kagome)의 최적설계)

  • Choi, Ji-Eun;Kang, Ki-Ju
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.13-19
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    • 2008
  • A Wire-woven Bulk Kagome (WBK) is the new truss type cellular metal fabricated by assembling the helical wires in six directions. The WBK seems to be promising with respect to morphology, fabrication cost, and raw materials. In this paper, first, the geometric and material properties are defined as the main design parameters of the WBK considering the fact that the failure of WBK is caused by buckling of truss elements. Taguchi approach was used as statistical design of experiment(DOE) technique for optimizing the design parameters in terms of maximizing the compressive strength. Normalized specific strength is constant regardless of slenderness ratio even if material properties changed, while it increases gradually as the strainhardening coefficient decreases. Compressive strength of WBK dominantly depends on the slenderness ratio rather than one of the wire diameter, the strut length. Specifically the failure of WBK under compression by elastic buckling of struts mainly depended on the slenderness ratio and elastic modulus. However the failure of WBK by plastic failed marginally depended on the slenderness ratio, yield stress, hardening and filler metal area.

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Mechanical Behaviors under Compression in Wire-Woven Bulk Kagome Truss PCMs (I) - Upper Bound Solution with Uniform Deformation - (벌크형 와이어직조 카고메 트러스 PCM의 압축거동 (I) - 균일 변형 상계해 -)

  • Hyun, Sang-Il;Choi, Ji-Eun;Kang, Ki-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.6 s.261
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    • pp.694-700
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    • 2007
  • Recently, a new cellular metal, WBK(Wire woven Bulk Kagome) has been introduced. WBK is fabricated by assembling metal wires in six directions into a Kagome-like truss structure and by brazing it at all the crossings. Wires as the raw material are easy to handle and to attain high strength with minimum defect. And the strength and energy absorption are superior to previous cellular metals. Therefore, WBK seems to be promising once the fabrication process for mass production is developed. In this paper, an upper bound solution for the mechanical properties of the bulk WBK under compression is presented. In order to simulate uniform behavior of WBK consisted of perfectly uniform cells, a unit cell of WBK with periodic boundary conditions is analyzed by the finite element method. In comparison with experimental test results, it is found that the solution provides a good approximation of the mechanical properties of bulk WBK cellular metals except for Young's modulus. And also, the brazing joint size does not have any significant effect on the properties with an exception of an idealized thin joint.

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
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    • v.14 no.4
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    • pp.827-838
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    • 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.

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A Study of Bulk Modulus of Beryl Using Water as a Pressure-Transmitting Medium (물을 압력 매개체로 이용한 녹주석의 체적탄성률 연구)

  • Hwang, Gil Chan;Kim, Hyunho;Lee, Yongjae
    • Journal of the Mineralogical Society of Korea
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    • v.30 no.3
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    • pp.83-91
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    • 2017
  • In-situ high-pressure and ex-situ high temperature-pressure experiments of natural beryl ($Be_3Al_2Si_6O_{18}$, P6/mcc) from two different localities (beryl-A and beryl-B) were studied using pure water as pressure transmitting medium. Compared to the previous study using a mixture of methanol:ethanol medium in 4 : 1 by volume, pressure- and temperature-induced chemical and structural changes under water medium are expected to be different. The derived bulk moduli are 111(7) GPa, $K{_0}^{\prime}=73(7)$; 110(9) GPa, $K{_0}^{\prime}=65(8)$ for beryl-A and beryl-B, respectively. We observe densifications in volume compression, which appear to be attributed to the phase transitions of water to ICE VI and ICE VII around 1.0 GPa and 2.5 GPa, respectively.