• 제목/요약/키워드: Transformation Expansion

검색결과 259건 처리시간 0.024초

잔류응력 완화에 미치는 상변태의 수치적 모델링 (N.M.for the Effect of P.T. on Resicual Stress Relaxation)

  • 장경복;손금렬;강성수
    • Journal of Welding and Joining
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    • 제17권6호
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    • pp.84-89
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    • 1999
  • Most of ferrous b.c.c weld materials may experience martensitic transformation during rapid cooling after welding. It is well known that volume expansion due to the phase transformation could influence on the relaxation of welding residual stress. To apply this effect practically, it is a prerequisite to establish a numerical model which is able to estimate the effect of phase transformation on residual stress relaxation quantitatively. For this purpose, the analysis is carried out in two regions. i.e., heating and cooling, because the variation of material properties following a phase transformation in cooling is different in comparison with the case in heating, even at the same temperature. The variation of material properties following phase transformation is considered by the adjustment of specific heat and thermal expansion coefficient, and the distribution of residual stress in analysis is compared with that of experiment by previous study. consequently, in this study, simplified numerical procedures considering phase transformation, which based on a commercial finite element package was established through comparing with the experimental data of residual stress distribution by other researcher. To consider the phase transformation effect on residual stress relaxation, the transition of mechanical and thermal property such as thermal expansion coefficient and specific heat capacity was found by try and error method in this analysis.

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용접 잔류응력 완화에 미치는 변태 온도의 영향에 관한 수치적 모델링 (Numerical Modeling of the Transformation Temperature Effect on the Relaxation of Welding Residual Stress)

  • 장경복;강성수
    • 대한기계학회논문집A
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    • 제24권10호
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    • pp.2552-2559
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    • 2000
  • Most of ferrous b.c.c weld materials have martensitic transformation during rapid cooling after welding. It is well known that volume expansion due to the phase transformation could influence on the relaxation of welding residual stress. To apply this effect practically, it is necessary to establish a numerical model which is able to estimate the effect of phase transformation on residual stress relaxation quantitatively. For this purpose, the analysis is carried out in two regions, i.e., heating and cooling, because the variation of material properties following a phase transformation in cooling is different in comparison with the case in heating, even at the same temperature. The variation of material properties following phase transformation is considered by the adjustment of specific heat and thermal expansion coefficient, and the distribution of residual stress in analysis is compared with that of experiment by previous study. In this study, simplified numerical procedures considering phase transformation, which based on a commercial finite element package was established through comparing with the experimental data of residual stress distribution by other researcher. To consider the phase transformation effect on residual stress relaxation, the transition of mechanical and thermal property such as thermal expansion coefficient and specific heat capacity was found by try and error method in this analysis. In addition to, since the transformation temperature changes by the kind and control of alloying elements, the steel with many kinds of transformation temperature were selected and the effect of transformation on stress releasement was investigated by the numerical procedures considering phase transformation.

단일계단 지형에서 변분근사법과 고유함수 전개법에 의한 파랑변형 비교 (Comparison between Variational Approximation and Eigenfunction Expansion Method for Wave Transformation over a Step Bottom)

  • 서승남
    • 한국해안·해양공학회논문집
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    • 제21권2호
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    • pp.91-107
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    • 2009
  • 단일 계단지형 위를 지나는 선형 파랑의 변형을 계산하기 위해 변분근사법과 고유함수 전개법을 사용하였다. 이들 수치해를 비교에서 반사율과 투과율 그리고 해면변위는 거의 일치한다. 그러나 계단 경계에서 유속 정합조건이 부여되었음에도 불구하고 계산된 x방향 유속의 수직구조는 차이를 보인다.

선상가열시 강의 상변태를 고려한 개선된 고유변형도 기반의 등가하중법 (Developed Inherent Strain Method Considering Phase Transformation of Mild Steel in Line Heating)

  • 하윤석;장창두
    • 대한조선학회논문집
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    • 제41권6호
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    • pp.65-74
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    • 2004
  • The inherent strain method is known to be very efficient in predicting the deformation of steel plate by line heating. However, in the actual line heating process in shipyard, the rapid quenching changes the phase of steel. In this study, In order to consider additional effects under phase transformation, inherent strain regions were assumed to expand. Also, when calculating inherent strain, material properties of steel in heating and cooling are applied differently considering phase transformation. In this process, a new method which can reflect thermal volume expansion of martensite is suggested.8y the suggested method, it was possible to predict the plate deformations by line heating more precisely.

An Approach to a Formal Linearization toy Time-variant Nonlinear Systems using Polynomial Approximations

  • Komatsu, Kazuo;Takata, Hitoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.52.2-52
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    • 2002
  • In this paper we consider an approach to a formal linearization for time-variant nonlinear systems. A time-variant nonlinear sysetm is assumed to be described by a time-variant nonlinear differential equation. For this system, we introduce a coordinate transformation function which is composed of the Chebyshev polynomials. Using Chebyshev expansion to the state variable and Laguerre expansion to the time variable, the time-variant nonlinear sysetm is transformed into the time-variant linear one with respect to the above transformation function. As an application, we synthesize a time-variant nonlinear observer. Numerical experiments are included to demonstrate the validity of...

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3차원 함몰 지형에서 소멸파 성분의 영향 (Effects of evanescent modes on three-dimensional depression of seabed)

  • 정태화;김형준;조용식
    • 한국수자원학회논문집
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    • 제42권12호
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    • pp.1125-1133
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    • 2009
  • 파랑의 문제에서 진행파 성분 이외에 Laplace 방정식의 또 다른 해인 소멸파 성분은 주로 수심이 급하게 변화할 때 파랑의 변형에 영향을 미친다. 본 연구에서는 고유함수전개법을 사용하여 3차원 함몰 지형에서 파랑의 변형에 대한 소멸파 성분의 영향을 검토하였다. 먼저, 구간의 수와 소멸파 성분의 수에 변화를 주면서 수렴성 검사를 하였으며 다음으로 소멸파 성분을 고려하면서 3차원 함몰지형에서의 파랑변형을 연구하였다.

Catenary 계류된 부방파제의 3차원 파랑변형에 관한 수치해석 (Numerical Analysis of Three-Dimensional Wave Transformation of Floating Breakwater Moored by Catenary)

  • 김도삼;최낙훈;윤희면;손병규
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2004년도 학술대회지
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    • pp.241-248
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    • 2004
  • In general, the salient features if the floating breakwater have excellent regulation of sea-water keeping the marine a1ways clean, up and dorm free movement with the incoming and outgoing tides, capable of being installed without considering the geological condition of sea-bed at any water depth, This study discusses the three dimensional wave transformation of the floating breakwater moored by catenary. Numerical method is based at the Green function method and eigenfunction expansion method. The validity of the present is confirmed by comparing it with the result of Ijima et a1.(1975) fer tensile maxed floating breakwater. According to the numerical results, drift and width of the floating breakwater affect at the wave transformation greatly, and incident wave of long period is well transmitted to the rear of the floating breakwater.

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

  • 김현철;이재현;권오덕;임창희
    • 한국재료학회지
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    • 제13권3호
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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.

Evaluation of Shear-Induced Phase Transformation of $\beta$-Cristobalite by Fiber Push-Out Technique

  • Sang Jin Lee;Dong Zhu;Jae Suk Sung
    • The Korean Journal of Ceramics
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    • 제3권3호
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    • pp.208-212
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    • 1997
  • Shear-induced phase transformation behavior of chemically stabilized $\beta$-cristobalite was studied by the fiber push-out technique. To obtain the critical grain size for phase transformation, the hot-pressed polycrystalline $\beta$-cristobalite, which was used as the interphase between fiber and matrix, was annealed at $1300^{\circ}C$ for 10h. Two types of fibers, mullite and sapphire fiber, were used in this study. Debonding between mullite fiber and cristobalite interphase occurred at a critical load of 230 MPa. Static friction and fiber sliding were continuously followed by debonding. Shear-induced transformation induced cracks in the cristobalite interphase at the debonding stage. In the case of the sapphire fiber, the debonding occurred at a lower load of 180 MPa due to the residual stress in the interface caused by the difference in thermal expansion coefficients between the fiber and the cristobalite interphase. The load was insufficient for shear-induced phase transformation.

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분산 전개법에 의한 주파수-시간 영역 변환 (Frequency-to-time Transformation by a Diffusion Expansion Method)

  • 조인기;김래영;고광범;유영준
    • 지구물리와물리탐사
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    • 제17권3호
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    • pp.129-136
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    • 2014
  • 전자 탐사는 신호원의 파형에 따라 주파수 영역과 시간 영역법으로 나누어진다. 주파수 영역과 시간 영역은 수학적으로 Fourier 변환 관계에 있으므로, 주파수 영역 자료를 Fourier 변환하여 시간 영역 자료를 얻어낼 수 있다. 즉, 시간 영역 전자 탐사의 모델링 자료는 주파수 영역에서 수행한 모델링 자료의 적절한 변환을 통해 얻어질 수 있다. 따라서 주파수-시간 영역 변환은 전자 탐사에서 매우 중요한 부분이다. 분산 전개법(DEM)은 신속하고 효과적인 주파수-시간 영역 변환 기법 중의 하나이다. 분산 전개법에서는 전자기장은 분산 함수와 분산 시간의 급수로 전개하며, 분산 시간은 주어진 주파수 자료에 의해 결정된다. 특히 적정 분산 시간의 설정은 분산 전개법의 정확성을 결정하는 주요 요소이다. 이 연구에서는 급수 전개에 의해 얻어진 주파수 영역 자료의 오차를 최소화하는 방법을 사용하여 적정 분산 시간의 설정 방법을 개발하였다. 반무한 공간 및 2층 구조 모델에 대하여 이 방법을 적용한 결과, 분산 전개법은 상당히 넓은 시간 대역에서 정확한 결과를 나타냄을 확인하였다.