• Title/Summary/Keyword: Coefficient of equivalent stress

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Contact Stress Evaluations for the Ball Groove of Weiss Type Constant velocity joint (Weiss형 등속조인트 볼 홈의 접촉응력평가)

  • 김완두;이순복
    • Tribology and Lubricants
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    • v.5 no.2
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    • pp.60-67
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    • 1989
  • For the life prediction and fatigue failure prevention of the constant velocity joint, the maximum equivalent stress and its location in depth from the contact area are essential. These values give the fundamental information to determine the depth of the surface hardening treatment at the contact area. Contact stresses are evaluated at the surface and subsurface of the ball groove of the Weiss type constant velocity joint. The maximum contact pressure and the maximum equivalent stress are obtained. The effects of various parameters such as the radius of ball groove, friction coefficient, and residual stress are studied. The maximum equivalent stress and the maximum contact pressure increase as the radius of the ball grove increases. The location of the maximum equivalent stress moves toward surface as the friction coefficient increases. It was also found that the maximum equivalent stress becomes minimum when the compressire residual stress is about 0.16 times of the maximum contact pressure.

A Study on the Cutting characteristics of a plastic sheet including Friction (마찰을 고려한 플라스틱 시트의 절단특성에 관한 연구)

  • Han Joohyun;Kim Dohyun;Kim Chungkyun
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.245-248
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    • 2004
  • The press cutter is productive equipment that practically manufactures materials such as fabrics, papers, films, leathers, rubbers etc. into the desired shapes using cutting method. Plate cutting process is one of the primary energy absorbing mechanisms in a grounding or collision event. The cutting mechanism is complicated and involves plastic flow of plate in the vicinity of the tip, friction between wedge and plate, deformation of plate. In this paper, we studied the effect of friction between cutter and plastic sheet for producing precise and superior products. The press cutter is analyzed numerically using MARC finite element program according to the variation of friction coefficients. The FEM results showed that normal stress, equivalent cauchy stress, normal total strain, equivalent total strain are good when friction coefficient is 0.0 and shear stress, shear total strain are good when friction coefficient is 0.8.

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A Study on Roughness Coefficient Estimations in Gravel Bed Stream without Water Level-Discharge Data (수위-유량자료가 부재한 자갈하천의 조도계수 산정에 관한 연구)

  • Lee, Sin-Jae;Park, Sang-Woo
    • Journal of Korea Water Resources Association
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    • v.39 no.12 s.173
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    • pp.985-996
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    • 2006
  • This study developed a model that could calculate equivalent roughness using shear stress acting on distributed grains in gravel bed stream. The estimated equivalent roughness by the model developed was used for estimation of water level and roughness coefficient in the stream without water level-discharge data. The model was applied to the Gurey-Songjeong stage station section located in the Sumjin river mid-downstream. The equivalent roughness by the model developed in this study was estimated to be 0.194m at the Gurey stage station. Calculated water level which the estimated equivalent roughness was applied to the flow model was shown ewer of within 6% in comparison with observed water level. Also, roughness coefficient was estimated using observed and calculated water level about each discharge scale by unsteady flow analysis. As a result, error of roughness coefficient estimated by observed and calculated water level was shown error of $0{\sim}0.002$ and could consider variability of roughness coefficient.

A study on the stress dependence of diffusion coefficient at the elevated tenperature and the structural characterictics of 12% Cr rotor steel. (12% Cr강의 고온 확산계수의 응력의존성과 조직의 특성에 관한 연구)

  • 장윤석;김태형
    • Journal of Ocean Engineering and Technology
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    • v.11 no.2
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    • pp.39-47
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    • 1997
  • Creep rate the elevated temperature is known to be controller by the softening process of microstructure especially in the solid solution alloys such as 125 Cr rotor steel. The change of structure is a decreasing process of the free energy of the state including stress, diffusivity of the material, and tmeperature. This study shows that diffusion coefficient, D of 12% Cr rotor steel at 953K with 74.8 MPa is 1.084~3.140*$10^{15}mm^2sec^1$ compared to $1.658*10^{24}mm^2sec^1$at 963K without stress. During creep, the growth of martensite laths accelerates the diffusion coefficient under stress due to incoherency of interface between carbides and matrix.

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Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

Thermal creep effects of aluminum alloy cladding on the irradiation-induced mechanical behavior in U-10Mo/Al monolithic fuel plates

  • Jian, Xiaobin;Ding, Shurong
    • Nuclear Engineering and Technology
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    • v.52 no.4
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    • pp.802-810
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    • 2020
  • Three-dimensional finite element simulations are implemented for the in-pile thermo-mechanical behavior in U-Mo/Al monolithic fuel plates with different thermal creep rates of cladding involved. The numerical results indicate that the thickness increment of fuel foil rises with the thermal creep coefficient of cladding. The maximum Mises stress of cladding is reduced by ~85% from 344 MPa on the 98.0th day when the creep coefficient of cladding increases from 0.01 to 10.0, due to its equivalent thermal creep strain enlarged by 3.5 times. When the thermal creep coefficient of Aluminum cladding increases from 0 to 1.0, the maximum mesoscale stress of fuel foil varies slightly. At the same time, the peak mesoscale normal stress of fuel foil can reach 51 MPa on the 98.0th day for the thermal creep coefficient of 10, which increases by 60.3% of that with the thermal creep un-occurred in the cladding. The maximum through-thickness creep strain components of fuel foil differ slightly for different thermal creep coefficients of cladding. The dangerous region of fuel foil becomes much closer to the heavily irradiated side when the creep coefficient of cladding becomes 10.0. The creep performance of Aluminum cladding should be optimized for the integrity of monolithic fuel plates.

Effects of Friction Coefficient on Creep Life Assessment of Sheet (박판 크리프 수명평가에 마찰계수의 영향)

  • Jeong, J.Y.;Im, J.W.;Keum, Y.T.
    • Transactions of Materials Processing
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    • v.19 no.7
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    • pp.435-440
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    • 2010
  • The creep life of 9Cr1MoVNb steel, in terms of Larson-Miller parameter(LMP), was evaluated by small punch(SP) creep simulation and verified by uniaxial creep test. By employing the elastoplastic FEM(finite element method), the small punch creep behaviors associated with various friction coefficients were simulated to identify a real friction phenomena. The friction coefficient, ${\mu}$=0.7, determined by comparing deflection history was used in the small punch creep simulation to find the equivalent stresses with which the relationship between punch load and uniaxial creep stress was found. The creep life was then predicted by the LMP, which was the relationship among the rupture time, temperature, and stress. Finally, the LMP calculated by SP-creep simulation was compared with that had computed by the uniaxial creep test and fairly matched LMPs were found.

Estimation of Critical Degree of Hydration and Thermal Expansion Coefficient of Early-Age Concrete from Measured Temperature, Strain and Stress (온도, 변형 및 응력 계측을 통한 초기재령 콘크리트의 임계수화도 및 열팽창계수 추정)

  • 오병환;최성철;신준호
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.809-814
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    • 2002
  • Recently, the properties of early-age concrete are increasingly important because these properties directly influence the behavior of early-age concrete structures including stress and cracking behavior. Nevertheless, the studies on early-age concrete are limited to strength and temperature development. The purpose of present study is to propose a simple and rational method which can predict the stress and strain behavior of young age concrete. A series of test have been done to measure the temperature development, strains and stresses in concrete members. The concept of equivalent age was used to define the degree of hydration and this degree of hydration was used to calculate the strength and elastic modulus. The critical degree of hydration and thermal expansion coefficient were calculated using experimental data. It is seen that the critical degree of hydration range from 0.05 to 0.11 based on the measuring method. The thermal expansion coefficient was calculated based on the measured non-mechanical strain and it is found that the coefficient decreases slightly with the increase of age. The consideration of critical degree of hydration in calculating stresses gives more accurate results. The present study provides useful method and data in evaluating early-age behavior of concrete structure.

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Effects of Specimen Length on Flexural Compressive Strength of Polymer Concrete (부재의 길이가 폴리머 콘크리트의 휨압축 강도에 미치는 영향)

  • 연규석;김남길;주명기;유근우;권윤환
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.99-104
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    • 2002
  • In this paper the influence or specimen length on flexural compressive strength and parameter or equivalent rectangular stress block of polymer concrete was evaluated. For this purpose, a series of C-shaped specimens subjected to eccentric compression were tested using four different length-to-depth ratios(from 1.0, 2.0, 3.0 and 4.0) of specimens with compressive strength of 1,020kgf/cm$^2$. Results indicate that for the region of h/c$\leq$3.0 the reduction in equivalent rectangular stress block depth and flexural compressive strength with increase of length-to-depth ratios was apparent but for the region of h/c$\geq$3.0 they were nearly constant. It means that for the region of h/c$\geq$3.0 effect of specimen length on equivalent rectangular stress block depth and flexural compressive strength was negligible. It was also founded that the effect of specimen length on v, a coefficient of strength, that was from 0.84 to 0.86 regardless of h/c was petty. Finally, predictive equation is, suggested by using modified law of effect of specimen length and results.

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A meso-scale approach to modeling thermal cracking of concrete induced by water-cooling pipes

  • Zhang, Chao;Zhou, Wei;Ma, Gang;Hu, Chao;Li, Shaolin
    • Computers and Concrete
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    • v.15 no.4
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    • pp.485-501
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    • 2015
  • Cooling by the flow of water through an embedded cooling pipe has become a common and effective artificial thermal control measure for massive concrete structures. However, an extreme thermal gradient induces significant thermal stress, resulting in thermal cracking. Using a mesoscopic finite-element (FE) mesh, three-phase composites of concrete namely aggregate, mortar matrix and interfacial transition zone (ITZ) are modeled. An equivalent probabilistic model is presented for failure study of concrete by assuming that the material properties conform to the Weibull distribution law. Meanwhile, the correlation coefficient introduced by the statistical method is incorporated into the Weibull distribution formula. Subsequently, a series of numerical analyses are used for investigating the influence of the correlation coefficient on tensile strength and the failure process of concrete based on the equivalent probabilistic model. Finally, as an engineering application, damage and failure behavior of concrete cracks induced by a water-cooling pipe are analyzed in-depth by the presented model. Results show that the random distribution of concrete mechanical parameters and the temperature gradient near water-cooling pipe have a significant influence on the pattern and failure progress of temperature-induced micro-cracking in concrete.