• Title/Summary/Keyword: Young's moduli

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Measurement of Loss Factor and Young's Modulus of ABS and PP Specimens by Using a Speaker (스피커를 이용한 ABS와 PP의 손실계수 및 영률 측정)

  • Jeon, Byeong Su;Jung, Sung Soo;Lee, Jong Kyu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.9
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    • pp.724-730
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    • 2014
  • It is essential to control noise and vibration in various industrial fields. In the automobile industry, various plastics have been developed and replaced metallic materials in order to reduce mass and vibration effectively. In this study, we measured and analyzed the Young's moduli and the loss factors of Acrylonitrile butadiene styrene(ABS) and Polypropylene(PP). In order to solve the fundamental error to determine the two quantities, a loudspeaker was used instead of conventional electromagnetic devices to generate bending motion to the specimens and a laser vibrometer was also used in detection of vibration signal of the specimen. The measured Young's moduli and loss factors of the ABS specimen were nearly constant as the temperature($-10{\sim}60^{\circ}C$) was increased. The loss factor of PP specimen showed peak value at $20^{\circ}C$ and it means that there is glass transition for the PP specimen. Young's modulus of PP specimen was linearly decreased as the temperature was increased.

The torsional buckling analysis for cylindrical shell with material non-homogeneity in thickness direction under impulsive loading

  • Sofiyev, A.H.
    • Structural Engineering and Mechanics
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    • v.19 no.2
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    • pp.231-236
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    • 2005
  • This study considers the buckling of orthotropic cylindrical thin shells with material nonhomogeneity in the thickness direction, under torsion, which is a power function of time. The dynamic stability and compatibility equations are obtained first. Applying Galerkin's method then applying Ritz type variational method to these equations and taking the large values of loading parameters into consideration, analytic solutions are obtained for critical parameter values. Using those results, the effects of the periodic and power variations of Young's moduli and density, ratio of Young's moduli variations, loading parameters variations and the power of time in the torsional load expression variations are studied via pertinent computations. It is concluded that all these factors contribute to appreciable effects on the critical parameters of the problem in question.

Relations Between Impact Damage and Ply Angle Under Same Impact Energy Condition (同一한 衝擊에너지 條件下의 CFRP 斜交積層板의 衝擊損傷과 配向角의 關係)

  • ;笠野英秋
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.10
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    • pp.1824-1832
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    • 1992
  • This study investigated the compressive Young's modulus and the impactinduced damage of CFRP angle-ply laminate under same impact energy condition. The specimens of angle-ply laminate composites [0.deg.$_{6}$/ .theta..deg.$_{10}$/ 0.deg.$_{6}$] with .theta..deg. =30.deg., 45.deg., 60.deg. and 90.deg. were employed, and damaged by steel balls of diameter of 5mm and 10mm propelled by air gun type impact testing machine. The impact damaged zones were observed through a scanning acoustic microscope(SAM), and their cross-sections were observed through a scanning electron microscope(SEM). The compressive Young's moduli before and after impact were measured, and compared with the theoretical values calculated. The results obtained were as follows: (1) The damage areas on the interfacial boundaries showed more severe change on the back side interface than on the impact side interface with increasing ply-angle. (2) The damage areas on the interfacial boundaries became larger with increasing impact velocity or ply-angle. (3) The impact damaged zone showed the delamination on the interfacial boundaries and transverse cracks inside laminas. (4) The impact damaged zone was affected by the impactor size and speed or ply-angle under same impact energy condition. (5) Compressive Young's moduli before and after impact were lower than theoretical value, but showed a similar change according to ply-angle. (6) Compressive Young's moduli after impact were higher than those before impact, but there was no remarkable change in apparent compressive modulus after impact.t.act.

An Evaluation Method of Deformation Moduli using Finite Element Analysis of Cyclic Plate Load Tests (반복재하 평판재하시험의 유한요소해석을 이용한 변형계수의 추정기법)

  • Oh, Seboong;Seo, Wonseok;Kwon, Ohkyun
    • Journal of the Korean GEO-environmental Society
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    • v.8 no.6
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    • pp.61-68
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    • 2007
  • The problem on cyclic plate load tests was analyzed by finite element method using an anisotropic hardening constitutive model. The constitutive model was coded to user subroutine in ABAQUS. Using the result of the analysis, Young's moduli corresponding to various strain levels were evaluated by a back calculation method and were very similar to those of input. On the basis of the back calculation method plate loading tests were verified. As a result, deformation moduli could be evaluated practically from cyclic plate load tests with respect site conditions.

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ON THE HOMOLOGY OF THE MODULI SPACE OF $G_2$ INSTANTONS

  • Park, Young-Gi
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.933-944
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    • 1994
  • Let $\pi : P \to S^4$ be a principal G-bundle over $S^4$ whose the structure group G is a compact, connected, simple Lie group. Since $\pi_3(G) = \pi_4 (BG) = Z$, we can classify the principal bundle $P_k$ over $S^4$ by the map $S^4 \to BG$ of degree k. Atiyah and Jones [2] showed that $C_k = A_k/g^b_k$ is homotopy equivalent to $\Omega^3_k G \simeq \Omega^4_k BG$ where $A_k$ is the space of the all connections in $P_k$ and $g^b_k$ is the based gauge group which consists of all base point preserving automorphisms on $P_k$. Here $\Omega^nX$ is the space of all base-point preserving continuous map from $S^n$ to X. Let $M_k$ be the space of based gauge equivalence classes of all connections in $P_k$ satisfying the Yang-Mills self-duality equations, which we call the moduli space of G instantons.

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A Study on the fatigue deformation behavior of granitic stone in Korea (국내화강석재의 피로변형거동에 관한 연구)

  • 김재동;정윤영;장보안
    • Tunnel and Underground Space
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    • v.6 no.2
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    • pp.144-156
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    • 1996
  • The deformation behaviors under uniaxial compressive cyclic loading were investigated for fresh rocks and freeze-thaw cycled samples. The Pocheon granite which is one of the most popular building stone in Korea was selected for tests. 0.5 Hz and 50% of dynamic strength were used as test conditions for frequency and fatigue span, respectively. For freezethaw procedure, sample were frozen for 3 hours under the temperature of -2$0^{\circ}C$ and then followed 3 hours thawing under the temperature of +2$0^{\circ}C$. Twenty seven samples were used as untreated and seventy three for freeze-thaw samples. No failure occurred up to 15000 cycles at the stress level of 60% of dynamic strength, indicating that the lowest strees level for fatigue failure may be around 60% of dynamic strength. Permanent strain and damping capacity curves show that there were three stages when rock behaves like under creep. Young's moduli were increased and Possion's ratios were decreased with the increase of the number of cycles. Possion's ratios varied more rapidly than Young's moduli did with the increase of the number of cycles. This may represent that most microcracks developed by fatigue stress are parallel to the axis of loading. The deformation behavior of freeze-thaw cycled samples were almost the same as that of untreated samples. However, the result of freeze-thaw cycled samples showed lower regression constant, indicating that the physical durability of rock is much lowered because of cyclic temperature variation.

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Mechanical Properties of Particle and Fiber Reinforced SMC Composites (입자와 섬유로 보강된 SMC 복합재의 기계적 특성에 관한 연구)

  • 정현조;윤성호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.2
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    • pp.173-182
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    • 1996
  • An analytical model has been developed to predict the elastic properties of a filled resin reinforced by chopped fibers, a three-phase composite such as a filled sheet molding compound(SMC). In the model the matrix material and fillers form an effective matrix. The effective matrix is then considered to be reinforced with long fibers lying in the sheet plane but randomly oriented in the plane. Expressions for the resulting transversely isotropic composite properties are explicitly presented. Using this model, the Young's and shear moduli are calculated for the SMC sample with filler weight fraction of 35% and fiber content of 30%. The same properties are also determined experimentally. The agreement between the calculated and measured elastic moduli is found to be very good for the in-plane properties. However, the out-of-plane properties show a large difference because the effect of voids is not taken into account in the model.

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Molecular dynamics study of the elastic moduli of FCC nanofilm (분자동역학을 이용한 FCC 나노박막의 탄성계수 연구)

  • Kim, Won-Bae;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1928-1933
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    • 2008
  • In this paper, elastic properties such as Young's modulus and Poisson's ratio of various transition metal nanofilms are calculated for the {100} and {110} surfaces by using molecular dynamics simulation. A new method using $3^{rd}$ order elastic constants and least square method is presented for the calculation of elastic constants. We also introduce analytical method of calculating elastic constants for EAM potential and it's results as the reference value to be compared with the simulation results.

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Experimental tensile test and micro-mechanic investigation on carbon nanotube reinforced carbon fiber composite beams

  • Emrah Madenci;Yasin Onuralp Ozkilic;Ahmad Hakamy;Abdelouahed Tounsi
    • Advances in nano research
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    • v.14 no.5
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    • pp.443-450
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    • 2023
  • Carbon nanotubes (CNTs) have received increased interest in reinforcing research for polymer matrix composites due to their exceptional mechanical characteristics. Its high surface area/volume ratio and aspect ratio enable polymer-based composites to make the most of its features. This study focuses on the experimental tensile testing and fabrication of carbon nanotube reinforced composite (CNTRC) beams, exploring various micromechanical models. By examining the performance of these models alongside experimental results, the research aims to better understand and optimize the mechanical properties of CNTRC materials. Tensile properties of neat epoxy and 0.3%; 0.4% and 0.5% by CNT reinforced laminated single layer (0°/90°) carbon fiber composite beams were investigated. The composite plates were produced in accordance with ASTM D7264 standard. The tensile test was performed in order to see the mechanical properties of the composite beams. The results showed that the optimum amount of CNT was 0.3% based on the tensile capacity. The capacity was significantly reduced when 0.4% CNT was utilized. Moreover, the experimental results are compared with Finite Element Models using ABAQUS. Hashin Failure Criteria was utilized to predict the tensile capacity. Good conformance was observed between experimental and numerical models. More importantly is that Young' Moduli of the specimens is compared with the prediction Halpin-Tsai and Mixture-Rule. Although Halpin-Tsai can accurately predict the Young's Moduli of the specimens, the accuracy of Mixture-Rule was significantly low.

A novel porosity-based homogenization scheme for propagation of waves in axially-excited FG nanobeams

  • Ebrahimi, Farzad;Dabbagh, Ali
    • Advances in nano research
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    • v.7 no.6
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    • pp.379-390
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    • 2019
  • Putting emphasis on the effect of existence of porosity in the functionally graded materials (FGMs) on the dynamic responses of waves scattered in FG nanobeams resulted in implementation of a novel porosity-based homogenization method for FGMs and show its applicability in a wave propagation problem in the presence of axial pre-load for the first time. In the employed porosity-dependent method, the coupling between density and Young's moduli is included to consider for the effective moduli of the FG nanobeam by the means of a more reliable homogenization technique. The beam-type element will be modeled via the classical theory of beams, namely Euler-Bernoulli beam theory. Also, the dynamic form of the principle of virtual work will be extended for such nanobeams to derive the motion equations. Applying the nonlocal constitutive equations of Eringen on the obtained motion equations will be resulted in derivation of the nanobeam's governing equations. Depicted results reveal that the dispersion responses of FG nanobeams will be decreased as the porosity volume fraction is increased which must be noticed by the designers of advanced nanosize devices who are interested in employment of wave dispersion approach in continuous systems for specific goals.