• Title/Summary/Keyword: Reuss

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The bounds for the elasticity tensor components of cortical bone (치밀골의 탄성 텐서 요소 경계)

  • Yoon, Won-Sok;Yoon, Young-June
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.5 no.1
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    • pp.52-59
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    • 2012
  • The bone material is a composite material consisted of collagen and mineral crystals. Also it shows transversely isotropic symmetry. So far none has shown that the components of the elasticity tensor satisfy the Voigt and Reuss bounds. To determine the effective elastic constant of bone material, the Voigt and Reuss bounds are employed and we show that the components of the elasticity tensor satisfy the Voigt and Reuss bounds. Mathematically this bounds are satisfied on two conditions only out of four conditions.

A Simpler Method to Estimate the Elastic Constant of Collagen-like Microfibril Using Voigt-Reuss Bounds (복합재료역학을 이용한 콜라겐 단백질 마이크로피브릴의 탄성율 예측 개선)

  • Yoon, Young-June;Bae, Cheol-Soo
    • Journal of Biomedical Engineering Research
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    • v.31 no.3
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    • pp.194-198
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    • 2010
  • The effective Young’s modulus of a microfibril surrounded by water may be simply calculated by using the upper (Voigt) and lower (Reuss) bounds, which is one way to estimate the Young’s modulus in composite materials. The Steered Molecular Dynamics (SMD) has been used for estimating the Young’s modulus of a microfibril surrounded by water. In this paper, the result estimated by the upper (Voigt) and lower (Reuss) bounds shows 9.2% to 21.8% discrepancy from the result estimated by SMD, but introducing “efficiency of reinforcement parameter” removes the discrepancy and shows good agreement with the result estimated by SMD. We found the best fit for the Young’s modulus against the size of the gap between microfibrils. Also the steps using these bounds are much simpler than SMD.

A Numerical Investigation on the Rule of Mixtures for the Mechanical Properties of Composites with Homogeneously Distributed Particles (입자가 균일하게 분포된 복합체의 기계적 성질과 혼합률에 관한 수치적 연구)

  • 김형섭
    • Transactions of Materials Processing
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    • v.10 no.5
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    • pp.396-401
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    • 2001
  • The concept of the mixtures can be used not only in the composites but also in the materials with precipitates and matrix. In this investigation, the finite element method of axisymmetric unit cell models and the rule of mixtures of the Voigt and the Reuss models are used to analyze the overall mechanical response of composites with homogeneously distributed particles. The calculations have been cameo out by taking the materials as i) hardening and ii) perfect plastic materials. The Plastic properties are predicted for various volume fractions of the soft and hard particles. The computational results are compared with the results of the rule of mixtures. It is found that the plastic flow curves agree well with the Voigt model when the volume fraction of the particles is high. On the other hand, the calculated flow curves exist between the Voigt model and the Reuss model when the volume fraction of the particles is low.

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The bounds for fully saturated porous material

  • Yoon, Young-June;Jung, Jae-Yong;Chung, Jae-Pil
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.13 no.5
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    • pp.432-435
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    • 2020
  • The elasticity tensor for water may be employed to model the fully saturated porous material. Mostly water is assumed to be incompressible with a bulk modulus, however, the upper and lower bounds of off-diagonal components of the elasticity tensor of porous materials filled with water are violated when the bulk modulus is relatively high. In many cases, the generalized Hill inequality describes the general bounds of Voigt and Reuss for eigenvalues, but the bounds for the component of elasticity tensor are more realistic because the principal axis of eigenvalues of two phases, matrix and water, are not coincident. Thus in this paper, for anisotropic material containing pores filled with water, the bounds for the component of elasticity tensor are expressed by the rule of mixture and the upper and lower bounds of fully saturated porous materials are violated for low porosity and high bulk modulus of water.

Thirty new records of marine benthic Foraminifera from Korean waters

  • Lee, Somin;Frontalini, Fabrizio;Lee, Wonchoel
    • Journal of Species Research
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    • v.6 no.spc
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    • pp.75-93
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    • 2017
  • As a part of a survey of indigenous biological resources of Korea, 30 marine benthic foraminiferal species belonging to 24 genera and seven orders (Astrorhizida, Lagenida, Lituolida, Miliolida, Robertinida, Rotaliida and Textulariida) were identified. Bottom sediment samples were collected from eight stations on the west and east coast of South Korea, in April 2015 and May 2016, respectively. Ten species belonging to nine genera and five orders (Lagenida, Lituolida, Robertinida, Rotaliida, Textulariida) were identified in the Yellow Sea. Among these taxa, Rotaliida was the dominant order, represented by four species: Evolvocassidulina tenuis (Phleger & Parker, 1951), Cibicides mabahethi Said, 1949, Cibicides pseudolabatulus Perelis & Reiss, 1975 and Cibicidoides barnetti Bermudez, 1949. Twenty species belonging to 15 genera and five orders (Astrorhizida, Lagenida, Lituolida, Miliolida, and Rotaliida) were identified from the East Sea and the Lagenida was the dominant order, represented by 11 species: Lagena strumosa Reuss, 1858, Lagena nebulosa (Cushman, 1923), Lagena striata var. semiornata Reuss, 1863, Procerolagena cylindrocostata Albani & Yassini, 1989, Fissurina bispinata $Ujii{\acute{e}}$, 1963, Oolina laevigata d'Orbigny, 1839, Polymorphina amplissima McCulloch, 1977, Polymorphina subelliptica McCulloch, 1977, Guttulina succincta McCulloch, 1977, Guttulina neoproblema McCulloch, 1977 and Lagenosolenia obtecta McCulloch, 1977. The findings described here increased the number of foraminiferal species in Korea to approximately 1060, and contribute to our understanding of the diversity of foraminifera in Korean waters.

Effects of Partially Distributed Loads on Dynamic Response of Plane Parabolic Arch (부분분포하중이 평면 포물선아치의 동적응답에 마치는 영향)

  • Cho, Jin-Goo;Park, Keun-Soo
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.6
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    • pp.21-28
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    • 2004
  • This study aims to investigate the effects of partially distributed loads on the dynamic behaviour of steel parabolic arches by using the elasto-plastic finite element model based on the Von Mises yield criteria and the Prandtl-Reuss How rule. For this purpose, the vertical and the radial load conditions were considered as a distributed loading and the loading range is varied from 40% to 100% of arch span. Normal arch and arch with initial deflection were studied. The initial deflection of arch was assumed by the sinusoidal motile of ${\omega}_i\;=\;{\\omega}_O$ sin ($n{\pi}x/L$). Several numerical examples were tested considering symmetric initial deflection when the maximum initial deflection at the apex is fixed as L/1000. The analysis resluts showed that the maximum deflection at the apex of arch was occurred when 70% of arch span was loaded. The maximum deflection at the quarter point of arch span was occurred when 50% of arch span was loaded. It is known that the optimal rise to span ratio between 0.2 and 0.3 when the vertical or radial distributed load is applied. It is verified that the influence of initial deflection of radial load case is more serious than that of vertical load case.

A report on the Myxobolus sp. (Myxosporea : Bivalvulida), found from the gills of the pale chub, Zacco platypus (한국산 담수어류 피라미의 아기미에 기생하는 Myxobolus sp.에 관하여)

  • Ji, Bo-Young;Kim, Ki-Hong;Park, Soo-Il
    • Journal of fish pathology
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    • v.9 no.1
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    • pp.15-19
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    • 1996
  • The mature spores of present Myxobolus sp. was ovoid in front view with no distinct redges of folds, lemon-shaped in side view with a straight sutural ridge. Spore valves showed symmetrical and smooth. Spores were 9 to $12{\mu}m$ (Mean=$10.4{\pm}0.7$, n=50)in length, 6 to $9{\mu}m$ (Mean=$7.7{\pm}0.6$, n=50) in width and 5.0 to $7.5{\mu}m$ (Mean=6.2, n=7) in thickness. Two polar capsules of spore were pyriform in shape, equal or mearly equal in size, 3 to $6{\mu}m$(Mean=$4.6{\pm}0.6$, n=50) in length, 2 to $3{\mu}m$(Mean=$2.2{\pm}0.3$, n=50) in width, Polar filaments of spore were composed with six to seven coils within capsules. Extended polar filaments were 55 to $135{\mu}m$ (Mean=78.7, n=50)in length. The shape and measurements of the present Mysobolus sp. spores were very similar with the spore of M. cyprinicola Reuss, 1906.

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Rock Physics Modeling: Report and a Case Study (암석 물리 모델링: 기술 보고 및 적용 사례)

  • Lee, Gwang H.
    • Economic and Environmental Geology
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    • v.49 no.3
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    • pp.225-242
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    • 2016
  • Rock physics serves as a useful tool for seismic reservoir characterization and monitoring by providing quantitative relationships between rock properties and seismic data. Rock physics models can predict effective moduli for reservoirs with different mineral components and pore fluids from well-log data. The distribution of reservoirs and fluids for the entire seismic volume can also be estimated from rock physics models. The first part of this report discusses the Voigt, Reuss, and Hashin-Shtrikman bounds for effective elastic moduli and the Gassmann fluid substitution. The second part reviews various contact models for moderate- to high-porosity sands. In the third part, constant-cement model, known to work well for the sand that gradually loses porosity with deteriorating sorting, was applied to the well-log data from an oil field in the North Sea. Lastly, the rock physics template constructed from the constant-cement model and the results from the prestack inversion of 2D seismic data were combined to predict the lithology and fluid types for the sand reservoir of this oil field.

Effects of initial imperfections on nonlinear behaviors of thin-walled members

  • Ohga, M.;Takaue, A.;Shigematsu, T.;Hara, T.
    • Structural Engineering and Mechanics
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    • v.11 no.5
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    • pp.519-534
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    • 2001
  • The effect of the initial imperfections on the nonlinear behaviors and ultimate strength of the thin-walled members subjected to the axial loads, obtained by the finite element stability analysis, are examined. As the initial imperfections, the bucking mode shapes of the members are adopted. The buckling mode shapes of the thin-walled members are obtained by the transfer matrix method. In the finite element stability analysis, isoparametric degenerated shell element is used, and the geometrical and material nonlinearity are considered based on the Green Lagrange strain definition and the Prandtl-Reuss stress-strain relation following the von Mises yield criterion. The U-, box- and I-section members subjected to the axial loads are adopted for numerical examples, and the effects of the initial imperfections on the nonlinear behaviors and ultimate strength of the members are examined.