• Title/Summary/Keyword: Linear moduli

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A Study on the Measurement of the Elastic Moduli and Characteristics for Space Adhesives (우주용 접착제의 탄성계수 측정 및 특성 규명에 관한 연구)

  • Kim, Hyun-Jung;Seo, Yu-Deok;Park, Sang-Hoon;Kim, Ji-Yeon;Uhm, Tae-Kyoung;Lee, Sang-Ryool;Lee, Seung-Hoon;Lee, Deog-Gyu;Lee, Eung-Shik;Jang, Hong-Sul;Jung, Dae-Jun;Youn, Sung-Kie
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.2
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    • pp.101-106
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    • 2007
  • The optical performance of the mirror for satellite camera is highly dependent on the adhesive properties between the mirror and its support. Therefore, in order to design a mirror with high optical performance, the mechanical properties of adhesives should be well defined. In this paper, the mechanical properties of three kinds of space adhesives are studied. Elastic moduli of the adhesives are determined by tensile tests. Stress-strain relation is obtained by using exponential curve fitting for the adhesive which shows non-linear behavior. In case of the linear behavior material, elastic modulus is calculated through linear curve fitting. For the tensile tests, several points have been selected in the operating temperature range of the adhesive. The elastic modulus of each adhesive is expressed as a function of temperature. Characteristics of the adhesives are discussed regarding their temperature sensitivity.

DOUBLE LINES IN THE QUINTIC DEL PEZZO FOURFOLD

  • Kiryong Chung
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.485-494
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    • 2023
  • Let Y be the quintic del Pezzo 4-fold defined by the linear section of Gr(2, 5) by ℙ7. In this paper, we describe the locus of double lines in the Hilbert scheme of coincs in Y. As a corollary, we obtain the desigularized model of the moduli space of stable maps of degree 2 in Y. We also compute the intersection Poincaré polynomial of the stable map space.

Correlation of Constrained Modulus for Busan Clay using DMT (DMT를 이용한 부산점토의 변형계수 추정)

  • Hong, Sung-Jin;Cho, Yong-Soon;Jung, Sang-Jin;Lee, Woo-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.613-618
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    • 2008
  • Because the flat dilatometer (DMT) is operated in appropriate strain level, it has been known as an adoptable in-situ tool to evaluate the compressibility of soils compare with other in-situ test tools, such as SPT and CPT. This study is concerned about prediction method of constrained modulus by DMT, and a series of DMT and consolidation tests are performed at Busan new-port, Yangsan and Noksan test sites. By comparing DMT results with lab tests, the suitability of constrained modulus correlation, which is suggested by Marchetti, is investigated in Busan clay and new correlation is suggested. In lab test result, the compression indices ($C_c$) of Busan clay are turned out to be 0.4~0.12, and the constrained moduli are found out 0.5MPa~3MPa and these are increase with depth. The predicted constrained moduli using Marchetti's correlation are turned out 0.5MPa~4MPa, and these are bigger than measured constrained moduli by lab tests. By analyzing lab test and DMT results, it is shown that the correlation coefficient ($R_M=M/E_D$) has a linear relationship with (1/$I_D$) in Busan.

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Analysis of Static Crack Growth in Asphalt Concrete using the Extended Finite Element Method (확장유한요소법을 이용한 아스팔트의 정적균열 성장 분석)

  • Zi, Goangseup;Yu, Sungmun;Thanh, Chau-Dinh;Mun, Sungho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4D
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    • pp.387-393
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    • 2010
  • This paper studies static crack growth of asphalt pavement using the extended finite element method (XFEM). To consider nonlinear characteristics of asphalt concrete, a viscoelastic constitutive equation using the Maxwell chain is used. And a linear cohesive crack model is used to regularize the crack. Instead of constructing the viscoelastic constitutive law from the Prony approximation of compliance and retardation time measured experimentally, we use a smooth log-power function which optimally fits experimental data and is infinitely differentiable. The partial moduli of the Maxwell chain from the log-power function make analysis easy because they change more smoothly in a more stable way than the ordinary method such as the least square method. Using the developed method, we can simulates the static crack growth test results satisfactorily.

Transient rheological probing of PIB/hectorite-nanocomposites

  • Sung, Jun-Hee;Mewis, Jan;Moldenaers, Paula
    • Korea-Australia Rheology Journal
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    • v.20 no.1
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    • pp.27-34
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    • 2008
  • Clay suspensions in liquid polymers exhibit a time-dependent behaviour that includes viscoelastic as well as thixotropic features. Because of the presence of interacting clay platelets, particulate networks can develop, which are broken down during flow and rebuild upon cessation of the flow. Here, the use of thixotropic techniques in probing flow-induced structures in nanocomposites is explored with data on a hectorite-poly(isobutylene) model system. By means of fast stress jump measurements the hydrodynamic contributions to the steady state stresses are determined as well as those caused by the stretching of the clay floes. Flow reversal measurements do not provide a clear indication of flow-induced anisotropy in the present case. The recovery of the clay microstructure upon cessation of flow is followed by means of overshoot and dynamic measurements. The development of a particulate network is detected by the appearance and growth of a low frequency plateau of the storage moduli. The modulus-frequency curves after various rest times collapse onto universal master curves, regardless of the pre-shear history or temperature. The scaling factors for this master curve are the crossover parameters. The crossover moduli are nearly a linear function of the crossover frequency, the relation being identical for recovery after shearing at different shear rates. This function depends, however, on temperature.

Transient stochastic analysis of nonlinear response of earth and rock-fill dams to spatially varying ground motion

  • Haciefendioglu, Kemal
    • Structural Engineering and Mechanics
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    • v.22 no.6
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    • pp.647-664
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    • 2006
  • The main purpose of this paper is to investigate the effect of transient stochastic analysis on nonlinear response of earth and rock-fill dams to spatially varying ground motion. The dam models are analyzed by a stochastic finite element method based on the equivalent linear method which considers the nonlinear variation of soil shear moduli and damping ratio as a function of shear strain. The spatial variability of ground motion is taken into account with the incoherence, wave-passage and site response effects. Stationary as well as transient stochastic response analyses are performed for the considered dam types. A time dependent frequency response function is used throughout the study for transient stochastic responses. It is observed that stationarity is a reasonable assumption for earth and rock-fill dams to typical durations of strong shaking.

Density by Moduli and Korovkin Type Approximation Theorem of Boyanov and Veselinov

  • Bhardwaj, Vinod K.;Dhawan, Shweta
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.733-746
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    • 2018
  • The concept of f-statistical convergence which is, in fact, a generalization of statistical convergence, has been introduced recently by Aizpuru et al. (Quaest. Math. 37: 525-530, 2014). The main object of this paper is to prove an f-statistical analog of the classical Korovkin type approximation theorem of Boyanov and Veselinov. It is shown that the f-statistical analog is intermediate between the classical theorem and its statistical analog. As an application, we estimate the rate of f-statistical convergence of the sequence of positive linear operators defined from $C^*[0,{\infty})$ into itself.

Computer Simulation of Deformation Behavior of the Rubber Diaphragm (고무 다이아프램의 변형거동 전산해석)

  • Cho, Seong-Do-Seong;Kim, Wan-Doo
    • Elastomers and Composites
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    • v.35 no.1
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    • pp.4-11
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    • 2000
  • A rubber diaphragm is a critical element of accumulators. The material of a diaphragm is nitrile rubber so as to recover and adjust the large deformation under external pressure fluctuation. The performance of accumulators is influenced by the deformation behaviors of the diaphragm. A large deformation behavior of the diaphragm has been investigated using the commercial finite element program MARC K7.1. The several elastic moduli have been used in linear analysis and Ogden's coefficients have been used in non-linear analysis. As a result, it has been shown that the deformation behavior with a elastic modulus of $0.3 kg/mm^2$ is similar to the behavior of non-linear analysis. And, the modified diaphragm shape to reduce the stress concentration has been proposed.

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Structure-property relations for polymer melts: comparison of linear low-density polyethylene and isotactic polypropylene

  • Drozdov, A.D.;Al-Mulla, A.;Gupta, R.K.
    • Advances in materials Research
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    • v.1 no.4
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    • pp.245-268
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    • 2012
  • Results of isothermal torsional oscillation tests are reported on melts of linear low density polyethylene and isotactic polypropylene. Prior to rheological tests, specimens were annealed at various temperatures ranging from $T_a$ = 180 to $310^{\circ}C$ for various amounts of time (from 30 to 120 min). Thermal treatment induced degradation of the melts and caused pronounced decreases in their molecular weights. With reference to the concept of transient networks, constitutive equations are developed for the viscoelastic response of polymer melts. A melt is treated as an equivalent network of strands bridged by junctions (entanglements and physical cross-links). The time-dependent response of the network is modelled as separation of active strands from and merging of dangling strands with temporary nodes. The stress-strain relations involve three adjustable parameters (the instantaneous shear modulus, the average activation energy for detachment of active strands, and the standard deviation of activation energies) that are determined by matching the dependencies of storage and loss moduli on frequency of oscillations. Good agreement is demonstrated between the experimental data and the results of numerical simulation. The study focuses on the effect of molecular weight of polymer melts on the material constants in the constitutive equations.

Application of Mechanical Crack Model to Numerical Study of Rock Mass Behavior (암석거동의 수치해석적 연구를 위한 균열모형의 적용)

  • Park, Do-hyun;Jeon, Seok-won
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.2 no.2
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    • pp.72-85
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    • 2000
  • Rock is a very complex and heterogeneous material, containing structural flaws due to geologic generation process. Because of those structural flaws, deformation and failure of rock when subjected to differential compressive stresses is non-linear. To simulate the non-linear behavior of rock, mechanical crack models, that is, sliding and shear crack models have been used in several studies. In those studies, non-linear stress-strain curves and various behaviors of rock including the changes of effective elastic moduli ($E_1$, $E_2$, ${\nu}_1$, ${\nu}_2$, $G_2$) due to crack growth were simulated (Kemeny, 1993; Jeon, 1996, 1998). Most of the studies have mainly focused on the verification of the mechanical crack model with relatively less attempt to apply it to practical purposes such as numerical analysis for underground and/or slope design. In this study, the validity of mechanical crack model was checked out by simulating the non-linear behavior of rock and consequently it was applied to a practical numerical analysis, finite element analysis commonly used.

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