• Title/Summary/Keyword: isotropic curve

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Experimental and numerical investigations on the ratcheting characteristics of cylindrical shell under cyclic axial loading

  • Shariati, M.;Hatami, H.;Torabi, H.;Epakchi, H.R.
    • Structural Engineering and Mechanics
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    • v.44 no.6
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    • pp.753-762
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    • 2012
  • The ratcheting characteristics of cylindrical shell under cyclic axial loading are investigated. The specimens are subjected to stress-controlled cycling with non-zero mean stress, which causes the accumulation of plastic strain or ratcheting behavior in continuous cycles. Also, cylindrical shell shows softening behavior under symmetric axial strain-controlled loading and due to the localized buckling, which occurs in the compressive stress-strain curve of the shell; it has more residual plastic strain in comparison to the tensile stress-strain hysteresis curve. The numerical analysis was carried out by ABAQUS software using hardening models. The nonlinear isotropic/kinematic hardening model accurately simulates the ratcheting behavior of shell. Although hardening models are incapable of simulating the softening behavior of the shell, this model analyzes the softening behavior well. Moreover, the model calculates the residual plastic strain close to the experimental data. Experimental tests were performed using an INSTRON 8802 servo-hydraulic machine. Simulations show good agreement between numerical and experimental results. The results reveal that the rate of plastic strain accumulation increases for the first few cycles and then reduces in the subsequent cycles. This reduction is more rapid for numerical results in comparison to experiments.

ESTIMATION OF DUCTILE FRACTURE BEHAVIOR INCORPORATING MATERIAL ANISOTROPY

  • Choi, Shin-Beom;Lee, Dock-Jin;Jeong, Jae-Uk;Chang, Yoon-Suk;Kim, Min-Chul;Lee, Bong-Sang
    • Nuclear Engineering and Technology
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    • v.44 no.7
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    • pp.791-798
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    • 2012
  • Since standardized fracture test specimens cannot be easily extracted from in-service components, several alternative fracture toughness test methods have been proposed to characterize the deformation and fracture resistance of materials. One of the more promising alternatives is the local approach employing the SP(Small Punch) testing technique. However, this process has several limitations such as a lack of anisotropic yield potential and tediousness in the damage parameter calibration process. The present paper investigates estimation of ductile fracture resistance(J-R) curve by FE(Finite Element) analyses using an anisotropic damage model and enhanced calibration procedure. In this context, specific tensile tests to quantify plastic strain ratios were carried out and SP test data were obtained from the previous research. Also, damage parameters constituting the Gurson-Tvergaard-Needleman model in conjunction with Hill's 48 yield criterion were calibrated for a typical nuclear reactor material through a genetic algorithm. Finally, the J-R curve of a standard compact tension specimen was predicted by further detailed FE analyses employing the calibrated damage parameters. It showed a lower fracture resistance of the specimen material than that based on the isotropic yield criterion. Therefore, a more realistic J-R curve of a reactor material can be obtained effectively from the proposed methodology by taking into account a reduced load-carrying capacity due to anisotropy.

Development of Test Method for Simple Shear and Prediction of Hardening Behavior Considering the Bauschinger Effect (단순전단 시험법 구축 및 바우싱거효과를 고려한 경화거동 예측)

  • Kim, Dongwook;Bang, Sungsik;Kim, Minsoo;Lee, Hyungyil;Kim, Naksoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.10
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    • pp.1239-1249
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    • 2013
  • In this study we establish a process to predict hardening behavior considering the Bauschinger effect for zircaloy-4 sheets. When a metal is compressed after tension in forming, the yield strength decreases. For this reason, the Bauschinger effect should be considered in FE simulations of spring-back. We suggested a suitable specimen size and a method for determining the optimum tightening torque for simple shear tests. Shear stress-strain curves are obtained for five materials. We developed a method to convert the shear load-displacement curve to the effective stress-strain curve with FEA. We simulated the simple shear forward/reverse test using the combined isotropic/kinematic hardening model. We also investigated the change of the load-displacement curve by varying the hardening coefficients. We determined the hardening coefficients so that they follow the hardening behavior of zircaloy-4 in experiments.

Required Time for Isotopic and Ko Consolidation of Marine Clay in Triaxial Cell (삼축셀에서 해성점토의 등방 및 Ko 압밀소요 시간)

  • Lee, Kyeong-Jun;Jung, Du-Hwoe;Im, Jong-Chul
    • Journal of the Korean Geotechnical Society
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    • v.23 no.8
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    • pp.137-147
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    • 2007
  • Isotropic (instant loading) and Ko (gradual increase loading) consolidation tests were conducted in triaxial test equipment using cylindrical sample (5.0 cm in diameter and 10.0 cm in height) on two marine clay deposits. The duration of primary consolidation was estimated by two curve fitting methods using measured strain. A differential equation of consolidation for drainage in the radial and vertical direction was solved by the implicit finite difference scheme. The results of two curve fitting methods were compared with the numerical solutions to evaluate the appropriate axial loading rate of Ko consolidation and the primary consolidation periods. In addition, primary consolidation periods of the samples with a diameter of 35 mm and a height of 70 mm were calculated. The relation of radial and vertical consolidation coefficients is also presented.

Superplastic Forming Process Analysis for Aluminium Body Forming (알루미늄 차체성형을 위한 초소성 성형공정해석)

  • Kim C. G.;Kim Y. H.;Woo H. P.;Kim M. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.89-92
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    • 2001
  • A rigid-viscoplastic finite element code for superplastic forming processes has been developed The material is assumed to be isotropic and a modified Coulomb friction law is adopted to explain contact between tool and sheet. This code uses the triangular element based on the membrane approximation and a hierarchical contact searching method is implemented The optimum pressure-time relationships for target strain rate are calculated by several pressure control algorithms. By the analysis, optimum pressure-time curves and deformation behavior are predicted.

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An embedded crack model for failure analysis of concrete solids

  • Dujc, Jaka;Brank, Bostjan;Ibrahimbegovic, Adnan;Brancherie, Delphine
    • Computers and Concrete
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    • v.7 no.4
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    • pp.331-346
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    • 2010
  • We present a quadrilateral finite element with an embedded crack that can be used to model tensile fracture in two-dimensional concrete solids and the crack growth. The element has kinematics that can represent linear jumps in both normal and tangential displacements along the crack line. The cohesive law in the crack is based on rigid-plasticity with softening. The required material data for the concrete failure analysis are the constants of isotropic elasticity and the mode I softening curve. The results of two well known tests are presented in order to illustrate very satisfying performance of the presented approach to simulate failure of concrete solids.

TIDAL DENSITIES OF GLOBULAR CLUSTERS AND THE GALACTIC MASS DISTRIBUTION

  • Lee, Hyung-Mok
    • Journal of The Korean Astronomical Society
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    • v.23 no.2
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    • pp.97-105
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    • 1990
  • The tidal radii of globular clusters reflect the tidal field of the Galaxy. The mass distribution of the Galaxy thus may be obtained if the tidal fields of clusters are well known. Although large amounts of uncertainties in the determination of tidal radii have been obstacles in utilizing this method, analysis of tidal density could give independent check for the Galactic mass distribution. Recent theoretical modeling of dynamical evolution including steady Galactic tidal field shows that the observationally determined tidal radii could be systematically larger by about a factor of 1.5 compared to the theoretical values. From the analysis of entire sample of 148 globular clusters and 7 dwarf spheroidal systems compiled by Webbink (1985), we find that such reduction from observed values would make the tidal density (the mean density within the tidal radius) distribution consistent with the flat rotation curve of our Galaxy out to large distances if the velocity distribution of clusters and dwarf spheroidals with respect to the Galactic center is isotropic.

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ELASTIC GUIDED WAVES IN COMPOSITE PIPES

  • Cho Younho;Lee Joon-Hyun;Lee Chong Myong;Rose Joseph L.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.258-263
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    • 2004
  • An efficient technique for the calculation of guided wave dispersion curves in composite pipes is presented. The technique uses a forward-calculating variational calculus approach rather than the guess and iterate process required when using the more traditional partial wave superposition technique The formulation of each method is outlined and compared. The forward-calculating formulation is used to develop finite element software for dispersion curve calculation. Finally, the technique is used to calculate dispersion curves for several structures, including an isotropic bar, two multi-layer composite bars, and a composite pipe.

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A Numerical Analysis on Elastodynamic Dispersion Phenomena of Composite Pipes

  • Cho, Youn-Ho;Lee, Chong-Myong;Rose Joseph L.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.3
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    • pp.222-227
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    • 2005
  • An efficient technique fur the calculation of guided wave dispersion curves in composite pipes is presented. The technique uses a forward-calculating variational calculus approach rather than the guess and iterate process required when using the more traditional partial wave superposition technique. The formulation of each method is outlined and compared. The forward-calculating formulation is used to develop finite element software for dispersion curve calculation. Finally, the technique is used to calculate dispersion curves for several structures, including an isotropic bar, two multi-layer composite bars, and a composite pipe.

DYNAMICAL MODELS OF SPHERICAL GALAXIES WITH MASSIVE HALO (무거운 헤일로를 가진 구형 은하의 역학 모형)

  • 천문석;고훈성;손영종
    • Journal of Astronomy and Space Sciences
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    • v.20 no.1
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    • pp.63-82
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    • 2003
  • Using the Schwarzschild's linear programming technique, we obtained the general solutions of the collisionless Bolzmann equation describing the spherical galaxy in dynamical equilibrium. From this calculation we have confirmed the existence of isotropic spherical galaxies obeying a de Vaucouleurs'law which includes a dark halo. The flattening profile of the velocity dispersion curve seen in the elliptical galaxies can be explained as the increase of mass to light ratio in this dark matter. The space density distribution of this dark matter shows that the core radius of the dark matter is smaller than the effective radius of the galaxy.