• 제목/요약/키워드: power law function

검색결과 281건 처리시간 0.023초

열간 단조용 비조질강의 고온 변형 거동에 관한 연구 (High Temperature Deformation Behavior of Microalloyed Hot Forging Steels)

  • 위겸복;이경섭
    • 한국재료학회지
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    • 제2권5호
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    • pp.343-352
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    • 1992
  • 고온 압축 시험을 이용하여 열간 단조용 비조질강의 고온 변형 거동을 온도, 변형률속도, 합금원소에 따라 조사하였다. 고온 압축 시험에서 얻은 유동 응력 곡선의 형태와 조직관찰로부터 고온 변형 기구는 동적 재결정임을 알 수 있었다. 최대응력에 이르는 변형률은 온도가 증가할수록 작아지고 변형률속도가 빠를수록 크게 나타났다. Nb-V-Mo강은 Nb-V강에 비하여 최대응력은 증가하였으나 동적 재결정은 빨라졌다. 1.2Mn-0.09Nb강은 1.0Mn-0.05Nb강에 비하여 최대응력은 증가하였으나 동적재결정은 지연되었다. C-Nb-V강은 C강에 비하여 최대응력이 증가하였으며 동적 재결정은 지연되었다. 열간변형에 대한 구성방정식은 멱수법칙의 형태를 가졌다. Zener-Hollomon 파라미터가 증가할수록 동적 재결정립은 미세해졌고, 동적 재결정립과 Zener-Hollomon 파라미터와의 관계는 멱수법칙으로 정량화할 수 있었다.

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대칭형 다공성 매질의 확산주도 영역에 관한 1차 물질이동 방정식 (First-Order Mass Transfer in a Diffusion-Dominated (Immobile) Zone of an Axisymmetric Pore: Semi-Analytic Solution and Its Limitations)

  • 김영우;강기준;조정호
    • 한국산학기술학회논문지
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    • 제11권11호
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    • pp.4664-4670
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    • 2010
  • 본 연구에서는 기존 MIM Zone model과 새로이 유도한 모델과 비교를 통해 몇가지 결론을 도출하였다. MIM model 이 적용되면 immobile 영역에서의 초기농도는 기공의 형태에 의해 달라지는 보정계수에 의해 실제농도보다 저평가되었으며 이는 오직 확산이 기공의 가장 깊은 부분까지 시행된 이후에 유효함을 확인하였다. 물질이동계수, $\alpha$는 기공의 깊이에 따라 반비례하며, 유동 구역의 유속에는 종속되어지지 않는다. 기존의 MIM model 은 확산주도영역의 농도가 급속하게 감소하는 현상을 보여주는데 새로이 유도된 모델의 경우도 충분한 시간이 경과한후 비슷한 현상을 보였으며 이는 기존의 여러 실험에서 관찰된 power-law BTC 의 상반되는 결과를 보여준다.

Buckling behaviors of FG porous sandwich plates with metallic foam cores resting on elastic foundation

  • Abdelkader, Tamrabet;Belgacem, Mamen;Abderrahmane, Menasria;Abdelhakim, Bouhadra;Abdelouahed, Tounsi;Mofareh Hassan, Ghazwani;Ali, Alnujaie;S.R., Mahmoud
    • Structural Engineering and Mechanics
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    • 제85권3호
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    • pp.289-304
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    • 2023
  • The main objective of this paper is to study the effect of porosity on the buckling behavior of thick functionally graded sandwich plate resting on various boundary conditions under different in-plane loads. The formulation is made for a newly developed sandwich plate using a functional gradient material based on a modified power law function of symmetric and asymmetric configuration. Four different porosity distribution are considered and varied in accordance with material propriety variation in the thickness direction of the face sheets of sandwich plate, metal foam also is considered in this study on the second model of sandwich which containing metal foam core and FGM face sheets. New quasi-3D high shear deformation theory is used here for this investigate; the present kinematic model introduces only six variables with stretching effect by adopting a new indeterminate integral variable in the displacement field. The stability equations are obtained by Hamilton's principle then solved by generalized solution. The effect of Pasternak and Winkler elastic foundations also including here. the present model validated with those found in the open literature, then the impact of different parameters: porosities index, foam cells distribution, boundary conditions, elastic foundation, power law index, ratio aspect, side-to-thickness ratio and different in-plane axial loads on the variation of the buckling behavior are demonstrated.

Free vibration investigation of functionally graded plates with temperature-dependent properties resting on a viscoelastic foundation

  • Abdeldjebbar Tounsi;Adda Hadj Mostefa;Amina Attia;Abdelmoumen Anis Bousahla;Fouad Bourada;Abdelouahed Tounsi;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • 제86권1호
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    • pp.1-16
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    • 2023
  • The free vibration of temperature-dependent functionally graded plates (FGPs) resting on a viscoelastic foundation is investigated in this paper using a newly developed simple first-order shear deformation theory (FSDT). Unlike other first order shear deformation (FSDT) theories, the proposed model contains only four variables' unknowns in which the transverse shear stress and strain follow a parabolic distribution along the plates' thickness, and they vanish at the top and bottom surfaces of the plate by considering a new shape function. For this reason, the present theory requires no shear correction factor. Linear steady-state thermal loads and power-law material properties are supposed to be graded across the plate's thickness. Uniform, linear, non-linear, and sinusoidal thermal rises are applied at the two surfaces for simply supported FGP. Hamilton's principle and Navier's approach are utilized to develop motion equations and analytical solutions. The developed theory shows progress in predicting the frequencies of temperature-dependent FGP. Numerical research is conducted to explain the effect of the power law index, temperature fields, and damping coefficient on the dynamic behavior of temperature-dependent FGPs. It can be concluded that the equation and transformation of the proposed model are as simple as the FSDT.

Free vibration analysis of Bi-Directional Functionally Graded Beams using a simple and efficient finite element model

  • Zakaria Belabed;Abdeldjebbar Tounsi;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohamed Bourada;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • 제90권3호
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    • pp.233-252
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Structural RC computer aided intelligent analysis and computational performance via experimental investigations

  • Y.C. Huang;M.D. TuMuli Lulios;Chu-Ho Chang;M. Nasir Noor;Jen-Chung Shao;Chien-Liang Chiu;Tsair-Fwu Lee;Renata Wang
    • Structural Engineering and Mechanics
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    • 제90권3호
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    • pp.253-261
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

원자력발전소 화재방호 규제 개선 방향에 관한 연구 (A Study on Proposals for Improving the Fire Protection Regulations for Nuclear Power Plants)

  • 마진수;권경옥
    • 한국화재소방학회논문지
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    • 제24권4호
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    • pp.116-122
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    • 2010
  • 원자력발전소는 심층화재방어 개념에 따라 화재 발생시 발전소 외부로 방사능의 누출을 억제하고, 발전소의 안전정지 기능이 유지될 수 있도록 설계, 건설, 운영되어야 한다. 해외의 원전건설 국가는 이러한 원자력발전소의 안전정지 기능의 목적을 달성하기 위하여 원자력발전소에 대한 통합된 화재방호 규제요건을 가지고 있으나, 우리나라의 경우, 원자력발전소의 화재방호계통을 적용하기 위한 강제 요건으로서 소방관계법과 원자력법을 동시에 적용하는 비합리적인 규제지침을 가지고 있다. 화재방호설비에 관하여 원자력발전소 운영에 오랜 경험을 가진 미국, 캐나다 및 일본의 기술적으로 단일화된 원자력발전소의 화재방호 규제체계를 제시하였고, 우리나라도 화재방호설비는 원자력법에 의한 화재하중에 따른 화재위험도분석 결과를 설계에 반영하여 소방관계법에서는 예외조항으로 인정받을 수 있어야 함을 제안하였다.

수직축 항력식 풍력터빈의 구조설계 및 실험평가 (Structure Design and Experimental Appraisal of the Drag Force Type Vertical Axis Wind Turbine)

  • 김동건;금종윤;윤순현
    • 대한기계학회논문집B
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    • 제30권3호
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    • pp.278-286
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    • 2006
  • Experiments were conducted to estimate the performance of drag force type vertical axis wind turbine with an opening-shutting rotor. It was operated by the difference in drag force generated on both sides of the blades. The rotational speed was measured by a tachometer in a wind tunnel and the tunnel wind speed was measured by using a pilot-static tube and a micro manometer. The performance test for a prototype was accomplished by calculating power, power coefficient, torque coefficient from the measurement of torque and rpm by a dynamometer controller. Various design parameters, such as the number of blades(B), blade aspect ratio(W/R), angle of blades$(\alpha)$ and drag coefficient acting on a blade, were considered for optimal conditions. At the experiment of miniature model, maximum efficiency was found at N=15, $\alpha=60^{\circ}$ and W/R=0.32. The measured test variables were power, torque, rotational speed, and wind speeds. The data presented are in the form of power and torque coefficients as a function of tip-speed ratio V/U. Maximum power was found in case of $\Omega=0.33$, when the power and torque coefficient were 0.14 and 0.37 respectively. Comparing model test with prototype test, similarity law by advance ratio for vertical axis wind turbine was confirmed.

DECAY OF TURBULENCE IN FLUIDS WITH POLYTROPIC EQUATIONS OF STATE

  • Lim, Jeonghoon;Cho, Jungyeon
    • 천문학회지
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    • 제53권2호
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    • pp.49-57
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    • 2020
  • We present numerical simulations of decaying hydrodynamic turbulence initially driven by solenoidal (divergence-free) and compressive (curl-free) drivings. Most previous numerical studies for decaying turbulence assume an isothermal equation of state (EOS). Here we use a polytropic EOS, P ∝ ργ, with polytropic exponent γ ranging from 0.7 to 5/3. We mainly aim at determining the effects of γ and driving schemes on the decay law of turbulence energy, E ∝ t. We additionally study probability density function (PDF) of gas density and skewness of the distribution in polytropic turbulence driven by compressive driving. Our findings are as follows. First of all, we find that even if γ does not strongly change the decay law, the driving schemes weakly change the relation; in our all simulations, turbulence decays with α ≈ 1, but compressive driving yields smaller α than solenoidal driving at the same sonic Mach number. Second, we calculate compressive and solenoidal velocity components separately and compare their decay rates in turbulence initially driven by compressive driving. We find that the former decays much faster so that it ends up having a smaller fraction than the latter. Third, the density PDF of compressively driven turbulence with γ > 1 deviates from log-normal distribution: it has a power-law tail at low density as in the case of solenoidally driven turbulence. However, as it decays, the density PDF becomes approximately log-normal. We discuss why decay rates of compressive and solenoidal velocity components are different in compressively driven turbulence and astrophysical implication of our findings.

확률론적 저장대모형을 이용한 하천에서의 물질혼합거동 해석 (Analysis of solute transport in rivers using a stochastic storage model)

  • 김병욱;서일원;권시윤;정성현;윤세훈
    • 한국수자원학회논문집
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    • 제54권5호
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    • pp.335-345
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    • 2021
  • 하천에서의 용존물질의 혼합거동을 신속하게 예측하기 해석하기 위하여 1차원 추적모형이 개발되어 왔다. 그 중 저장대모형(Transient Storage Model, TSM)은 자연하천의 복잡하고 불규칙한 수리·지형적인 특성을 단순하게 반영할 수 있다는 장점때문에 가장 많이 사용되는 1차원 추적모형이다. 하지만 TSM의 정확도는 본류대 및 저장대의 면적, 물질교환계수 등 모형의 매개변수에 의존하며 이들은 직접적으로 측정될 수 없다는 단점이 있다. 또한 TSM은 농도곡선의 꼬리에 나타나는 저장대특성의 형태를 지수함수형태로 반영하는데 이는 실제 추적자실험을 통해 관측되는 꼬리는 형태와 다르다는 평가가 제기되고 있다. 이에 따라 본 연구에서는 1차원 확률론적 저장대모형에 대한 수치모형을 개발하여 자연하천에 적용하고 그 결과를 TSM의 모의결과와 비교하였다. 상기의 모형을 검증하기 위하여 낙동강의 1차 지류 중 하나인 감천의 4.85 km의 구간에서 추적자 실험을 실시하였다. 본 추적자 실험을 통해 측정한 농도곡선과 본 연구에서 제시된 확률론적 저장대모형의 모의 곡선의 꼬리부 멱함수 기울기를 비교해본 결과, 오차율은 평균 0.24으로 나타났는데, 이는 1차원 이송-분산 모형과 TSM로부터의 오차율인 14.03과 1.87에 비해 보다 정확한 값이다. 본 연구 결과, 감천에서의 저장대 특성을 나타내는 하상의 체류시간분포는 지수함수분포보다는 멱함수 분포에 가까운 것으로 밝혀졌다.