• Title/Summary/Keyword: contraction transformation

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Thermal Expansion and Contraction Characteristics of Continuous Casting Carbon Steels (연속주조용 탄소강에서 상변화에 따른 열팽창 및 수축 거동)

  • Kim, H.C.;Lee, J.H.;Kwon, O.D.;Yim, C.H.
    • Korean Journal of Materials Research
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    • v.13 no.3
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    • pp.137-143
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    • 2003
  • The air gap between the metal and mold, formed by shrinkage during solidification, causes surface and subsurface cracks in the continuous casting process. Molten crack on the surface might also occur due to improper heat transfer between them. In order to compensate the air gap in mold design, the thermal contraction is an essential factor. In this study, the thermal contraction and expansion behaviors were examined from the ($\alpha$ and pearlite)/${\gamma}$ to ${\gamma}$/$\delta$ transformations in continuous casting steels by the commercial dilatometer and the self- assembled dilatometer with laser distance measurement. It was found that the thermal contraction and expansion behaviors were very dependant on the phase transformation of the ${\gamma}$/$\delta$ as well as ($\alpha$ and pearlite)/${\gamma}$. The sudden volume change from $\delta$ to ${\gamma}$ which might cause cracks in the continuous casting process, was observed on cooling just below the melting temperature by the self-assembled dilatometer.

Finite element analysis of viscoelastic flows in a domain with geometric singularities

  • Yoon, Sung-Ho;Kwon, Young-Don
    • Korea-Australia Rheology Journal
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    • v.17 no.3
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    • pp.99-110
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    • 2005
  • This work presents results of finite element analysis of isothermal incompressible creeping viscoelastic flows with the tensor-logarithmic formulation of the Leonov model especially for the planar geometry with singular comers in the domain. In the case of 4:1 contraction flow, for all 5 meshes we have obtained solutions over the Deborah number of 100, even though there exists slight decrease of convergence limit as the mesh becomes finer. From this analysis, singular behavior of the comer vortex has been clearly seen and proper interpolation of variables in terms of the logarithmic transformation is demonstrated. Solutions of 4:1:4 contraction/expansion flow are also presented, where there exists 2 singular comers. 5 different types spatial resolutions are also employed, in which convergent solutions are obtained over the Deborah number of 10. Although the convergence limit is rather low in comparison with the result of the contraction flow, the results presented herein seem to be the only numerical outcome available for this flow type. As the flow rate increases, the upstream vortex increases, but the downstream vortex decreases in their size. In addition, peculiar deflection of the streamlines near the exit comer has been found. When the spatial resolution is fine enough and the Deborah number is high, small lip vortex just before the exit comer has been observed. It seems to occur due to abrupt expansion of the elastic liquid through the constriction exit that accompanies sudden relaxation of elastic deformation.

A Study on LIFS Image Coding via Gram-Schmidt Orthogonalization - Fast Coding Algorithm - (Gram-Schmidt 직교화를 이용한 LIFS 영상 부호화법에 관한 연구 -부호화 고속 알고리즘-)

  • 유현배
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.4 no.2
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    • pp.96-101
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    • 2003
  • Recently, Fractal Image Coding has been studied as a way of efficient data compressing scheme. In the beginning, Fractal Image Coding has been studied for the data compressing in black & white images and linear images. A. E. Jacquin suggested LIFS which expends to Fractal Image Coding for a gray scale image. Currently, YTKT's LIFS scheme which is using Gram-Schmidt is so efficient that enough to compete with the JPEG which is the national standards. This paper investigates the way of greatly reduced calculation for the orthogonalization algorithm.

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Estimation of Proportional Control Signal from EMG (EMG 신호에서의 비례제어신호 추정에 관한 연구)

  • Choi, Kwang-Hyeon;Byun, Youn-Shik;Park, Sang-Hui
    • Journal of Biomedical Engineering Research
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    • v.5 no.2
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    • pp.133-142
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    • 1984
  • The EMG signal can be considered as a signal source that expresses the intention of man because it is a electrical signal generated when the man contracts muscles. For proportional control of prostheses, the control signal proportional to the mousle contraction level must be estimated. Typically a foul-wave rectifier and low-pass filter are used to estimate the proportional control signal from the EMG signal. In this paper, it is proposed to use a logarithmic transformation and a linear minimum mean square error estimator. A logarithmic transformation maps the myoelectric signal into an additive control signal-plus-noise domain and the Kalman filter is used to estimate the control signal as a linear minimum mean square error estimator. The performance of this estimator is verified by the computer simulation and the estimator is applied to the EMG obtained from the biceps brachii muscle of normal subjects.

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Study on the design of quenching fixture in hot press forming process (핫프레스포밍 공정의 냉각치구 설계에 관한 연구)

  • Lee, K.;Kwak, E.J.;Kim, H.Y.;Lee, Gi-Dong;Park, Jong-Kyu;Suh, Chang-Hee
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.337-340
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    • 2009
  • In hot press forming process, the desired high strength can be obtained through quenching process after cold forming of product. The quenching process, however, accompanies undesired distortion due to the volume change during the phase transformation as well as by thermal contraction. In this study the numerical simulation with DEFORM3D-Microstructure is used to predict the deformed shape during the quenching for the quenching fixture design.

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A preparation of hexacelsian powder by solution-polymerization route and its phase transformation behavior (Solution- polymerization 방법에 의한 hexacelsian 분말의 합성 및 상전이 공정에 의한 celsian 소결체의 제조)

  • Sang-Jin Lee;Young-Soo Yoon
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.3
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    • pp.428-436
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    • 1997
  • Hexacelsian ($BaO{\cdot}Al_2O_3{\cdot}2SiO_2$) powder was prepared by a solution-polymerization route employing PVA solution as a polymeric carrier. A fine amorphous-type hexacelsian powder with an average particle size of 0.8 $\mu \textrm{m}$ and a BET specific surface area of $63 \textrm{m}^2$/g was made by a ball-milling the powder precursor for 12 h after calcination at $800^{\circ}C$ for :1 h. A densified hexacelsian was obtained through sintering at $1550^{\circ}C$ for 2 h under an air atmosphere. The $\alpha\longleftrightarrow\beta$ and $\beta\longleftrightarrow\gamma$ displacive phase transformation in polycrystalline hexacelsia,n was examined by using dilatometry and differential scanning calorimtry. The reconstructive transformation between hexacelsian and celsian was obtained by annealing at $1600^{\circ}C$ for 72h. Volume contraction of 5.6% was accompanied by the reconstructive transformation.

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Behavior of the Residual Stress on the Surfaces of 12Cr Steels Generated by Flame Hardening Process (화염경화 표면처리 공정에 의한 12Cr 강의 잔류응력 거동)

  • 이민구;김광호;김경호;김흥회
    • Journal of the Korean institute of surface engineering
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    • v.37 no.4
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    • pp.226-233
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    • 2004
  • The residual stresses on the surfaces of low carbon 12Cr steels used as a nuclear steam turbine blade material have been studied by controlling the flame hardening surface treatments. The temperature cycles on the surfaces of 12Cr steel were controlled precisely as a function of both the surface temperature and cooling rate. The final residual stress state generated by flame hardening was dominated by two opposite competitive contributions; one is tensile stress due to phase transformation and the other is compressive stress due to thermal contraction on cooling. The optimum processing temperatures required for the desirable residual stress and hardness were in the range of $850^{\circ}C$ to $960^{\circ}C$ on the basis of the specification of GE power engineering. It was also observed that the high residual tensile stress generated by flame hardening induced the cracks on the surfaces, especially across the prior austenite grain boundaries, and the material failure virtually, which might limit practical use of the surface engineered parts by flame hardening.

Semi-Lagrangian flow analysis of Viscoelastic fluid using Objective Time Integration (Semi Lagrangian 방법과 Objective Time Integration을 이용한 점탄성 유동 해석)

  • Kang, S.Y.;Kim, S.M.;Lee, W.I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.99-104
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    • 2006
  • A semi-Lagrangian finite element scheme with objective time stepping algorithm for solving viscoelastic flow problem is presented. The convection terms in the momentum and constitutive equations are treated using a quasi-monotone semi-Lagrangian scheme, in which characteristic feet on a regular grid are traced backwards over a single time-step. Concerned with the generalized midpoint rule type of algorithms formulated to exactly preserve objectivity, we use the geometric transformation such as pull-back, push-forward operation. The method is applied to the 4:1 planar contraction problem for an Oldroyd B fluid for both creeping and inertial flow conditions.

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Magnetic and Ordering Behavior of Nb-doped FePt Alloy Films

  • Kim, Min-Kyu;Lee, Seong-Rae
    • Journal of Magnetics
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    • v.10 no.1
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    • pp.28-32
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    • 2005
  • The magnetic properties and ordering behavior of Nb-doped FePt alloy films prepared by dc-magnetron sputtering were investigated. It was found that Nb addition retarded the ordering reaction from the disordered face-centered-cubic (fcc) Al phase to the ordered face-centered-tetragonal (fct) L10 phase. The tetragonality (c/a ratio) of the ordered fct L10 phase increased with the Nb concentration. Nb addition hampered c-axis contraction during ordering, probably because the larger Nb atoms occupy Pt sites. Consequently, the coercivity and magnetocrystalline anisotropic energy of Nb-doped FePt alloy films are lower than those of un-doped FePt film under equivalent annealing conditions.

INVARIANT GRAPH AND RANDOM BONY ATTRACTORS

  • Fateme Helen Ghane;Maryam Rabiee;Marzie Zaj
    • Journal of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.255-271
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    • 2023
  • In this paper, we deal with random attractors for dynamical systems forced by a deterministic noise. These kind of systems are modeled as skew products where the dynamics of the forcing process are described by the base transformation. Here, we consider skew products over the Bernoulli shift with the unit interval fiber. We study the geometric structure of maximal attractors, the orbit stability and stability of mixing of these skew products under random perturbations of the fiber maps. We show that there exists an open set U in the space of such skew products so that any skew product belonging to this set admits an attractor which is either a continuous invariant graph or a bony graph attractor. These skew products have negative fiber Lyapunov exponents and their fiber maps are non-uniformly contracting, hence the non-uniform contraction rates are measured by Lyapnnov exponents. Furthermore, each skew product of U admits an invariant ergodic measure whose support is contained in that attractor. Additionally, we show that the invariant measure for the perturbed system is continuous in the Hutchinson metric.