• 제목/요약/키워드: smooth curve function

검색결과 35건 처리시간 0.023초

균열선단 응력확대계수 결정을 위한 후처리기법 (Post-Processing Technique on the Determination of Crack Tip Stress Intensity Factors)

  • 진치섭;장희석
    • 대한토목학회논문집
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    • 제11권1호
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    • pp.17-27
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    • 1991
  • 본 논문에서는 구조물의 응력확대 계수를 균열선단주위에서 정의되는 표면적분법에 의하여 구하는 방법을 연구하였다. 통상의 J적분법을 변형시켜 표면 적분법을 유도하였으며 물체력을 고려하는 경우도 포함시켰다. 유한요소 해석결과를 입력변수로 받아들여 표면적분법으로 응력확대계수 $K_I$$K_{II}$를 구하는 프로그램을 작성하였다. 형상비(요소길이/균열길이)가 25% 정도인 요소망에서 본 논문에서 제안한 포물선형태의 평활곡선함수를 사용한 결과, 외측적분반경이 균열길이의 1/3~1 되는 구간에서 비교적 정확한 응력확대 계수가 얻어지는 것을 알수 있었다.

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수치해석적 방법에 의한 층상 점토지반의 극한지지력 해석 (The Analysis of the Bearing Capacity of Layered Clay by Numerical Methods)

  • 김영민
    • 한국지반공학회논문집
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    • 제19권1호
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    • pp.121-129
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    • 2003
  • 층상점토지반의 극한지지력에 대하여 수치해석적 방법을 이용하여 거친 띠기초, 미끈한 띠기초에 대하여 해석을 수행하였다. 유한요소법과 유한차분법(FLAC)을 사용하여 층상점토 기초지반의 파괴거동 및 전반적인 하중-변위관계, 극한지지력에 대하여 수치해석적 방법으로 검토하였다. 해석된 결과를 분석하여보면, 이러한 수치해석적 방법을 통해서 층상점토 지반의 극한지지력, 진행성 파괴거동을 충분히 검토할 수 있음을 보여주었다. 그러나 정도가 높은 해석결과를 얻기 위해서는 수치해석에 큰 영향을 미치는 조절요인(항복함수선택, 해석증분수)과 두 가지 이상의 수치해석적 방법에 의하여 해석결과를 비교 분석하는 것이 필요하다.

저온용 고장력강(EH36)의 평균 응력 삼축비에 따른 파단 변형률 정식화 (Formulation of Failure Strain according to Average Stress Triaxiality of Low Temperature High Strength Steel (EH36))

  • 정준모;남웅식
    • 한국해양공학회지
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    • 제27권2호
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    • pp.19-26
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    • 2013
  • Stress triaxiality is recognized as one of the most important factors for predicting the failure strain of ductile metals. This study dealt with the effect of the average stress triaxiality on the failure strain of a typical low-temperature high-strength marine structural steel, EH36. Tensile tests were carried out on flat specimens with different notches, from relatively smooth to very sharp levels. Numerical simulations of each specimen were performed by using ABAQUS. The failure initiation points in numerical simulations were identified from a comparison of the engineering stress vs. strain curves obtained from experiments with simulated ones. The failure strain curves for various dimensionless critical energy levels were established in the average stress triaxiality domain and compared with the identified failure strain points. It was observed that most of the failure initiation points were approximated with a 100% dimensionless critical energy curve. It was concluded that the failure strains were well expressed as a function of the average stress triaxiality.

RECENT DEVELOPMENT OF IMMERSED FEM FOR ELLIPTIC AND ELASTIC INTERFACE PROBLEMS

  • JO, GWANGHYUN;KWAK, DO YOUNG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권2호
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    • pp.65-92
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    • 2019
  • We survey a recently developed immersed finite element method (IFEM) for the interface problems. The IFEM uses structured grids such as uniform grids, even if the interface is a smooth curve. Instead of fitting the curved interface, the bases are modified so that they satisfy the jump conditions along the interface. The early versions of IFEM [1, 2] were suboptimal in convergence order [3]. Later, the consistency terms were added to the bilinear forms [4, 5], thus the scheme became optimal and the error estimates were proven. For elasticity problems with interfaces, we modify the Crouzeix-Raviart based element to satisfy the traction conditions along the interface [6], but the consistency terms are not needed. To satisfy the Korn's inequality, we add the stabilizing terms to the bilinear form. The optimal error estimate was shown for a triangular grid. Lastly, we describe the multigrid algorithms for the discretized system arising from IFEM. The prolongation operators are designed so that the prolongated function satisfy the flux continuity condition along the interface. The W-cycle convergence was proved, and the number of V-cycle is independent of the mesh size.

스플라인 곡선을 이용한 막구조물의 재단도 작성에 관한 연구 (A Study on Cutting Pattern Generation of Membrane Structures Using Spline Curves)

  • 손수덕;이승재
    • 한국공간구조학회논문집
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    • 제12권1호
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    • pp.109-119
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    • 2012
  • 막 구조물은 일반적인 설계와는 달리 형상해석, 응력변형해석 및 재단도 과정을 수행하여야만 설계가 가능하다. 처음 두 과정과는 달리 재단은 3차원 곡면을 최소 오차를 가진 평면 스트립을 형성하는 과정이다. 경제적인 이유로 재단 선은 주로 측지선을 이용하여 작성된다. 그러나 일반적으로 측지선은 초기 형상탐색에서 구성된 삼각형 요소의 정보에서 추출됨으로 부드러운 곡선이 아니며, 불규칙한 직선이다. 그러므로 어떻게 불규칙한 직선을 곡선으로 표현할 것인가가 중요하다. 따라서 본 연구에서는 스플라인 함수를 이용한 보간 방법을 재단도 생성에 적용하였다. 이를 위해서 삼차 스플라인 함수, B-스플라인 함수 및 최소자승 스플라인 함수의 세 가지 경우에 대해서 고찰하고, 단순 모델 및 카테나리 모델을 대상으로 재단도 작성 결과를 검토하였다. 단순모델의 해석요소수와 추출된 불연속 절점 수에 따른 보간 곡선 비교결과는 요소수가 큰 경우 추출된 절점의 수가 적은 것이 효과적이며, 최소자승 보간이 다른 방법보다 더 부드러운 재단 경계선을 제공한다.

정상유동 장치에서 유동 특성 평가 방법에 대한 연구(5) - 평가위치의 영향 (Study on Evaluation Method of Flow Characteristics in Steady Flow Bench(5)-Effect of Evaluation Position)

  • 조시형;엄인용
    • 한국자동차공학회논문집
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    • 제25권2호
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    • pp.179-189
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    • 2017
  • This paper is the fifth investigation on the methods of evaluating flow characteristics in a steady flow bench. In previous studies, several assumptions used in the steady flow bench were examined and it was concluded that the assumption of the solid rotation may lead to serious problems. In addition, though the velocity profiles were improved as the measuring position went downstream, the distributions were far from ideal regardless of the valve angle and evaluation position. The eccentricities were also not sufficiently small to disregard the effect on impulse swirl meter (ISM) measurement. Therefore, the effect of these distribution and eccentricity changes according to the positions needs to be analyzed to discuss the method of flow characteristics estimation. In this context, the effects of evaluation position on the steady flow characteristics were studied. For this purpose, the swirl coefficient and swirl ratio were assessed and compared via measurement of the conventional ISM and calculation based on the velocity by particle image velocimetry(PIV) from 1.75B, 1.75 times bore position apart from the cylinder head, to the 6.00B position. The results show that the swirl coefficients by ISM strictly decrease and the curves as a function of the valve lift become smooth and linear as the measuring position goes downstream. However, the values through the calculation based on the PIV are higher at the farther position due to the approach of the tangential velocity profile to ideal. In addition, there exists an offset effect between the velocity distribution and eccentricity in the low valve lift range when the coefficients are estimated based on the swirl center. Finally, the curve of the swirl ratio by ISM and by PIV evaluation as a function the measuring position intersect around 5.00B plane except at $26^{\circ}$ valve angle.

BETTI NUMBERS OF GAUSSIAN FIELDS

  • Park, Changbom;Pranav, Pratyush;Chingangbam, Pravabati;Van De Weygaert, Rien;Jones, Bernard;Vegter, Gert;Kim, Inkang;Hidding, Johan;Hellwing, Wojciech A.
    • 천문학회지
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    • 제46권3호
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    • pp.125-131
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    • 2013
  • We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investigate the Betti numbers as a function of threshold level. Betti numbers are topological invariants of figures that can be used to distinguish topological spaces. In the case of the excursion sets of a three-dimensional field there are three possibly non-zero Betti numbers; ${\beta}_0$ is the number of connected regions, ${\beta}_1$ is the number of circular holes (i.e., complement of solid tori), and ${\beta}_2$ is the number of three-dimensional voids (i.e., complement of three-dimensional excursion regions). Their sum with alternating signs is the genus of the surface of excursion regions. It is found that each Betti number has a dominant contribution to the genus in a specific threshold range. ${\beta}_0$ dominates the high-threshold part of the genus curve measuring the abundance of high density regions (clusters). ${\beta}_1$ dominates the genus near the median thresholds which measures the topology of negatively curved iso-density surfaces, and ${\beta}_2$ corresponds to the low-threshold part measuring the void abundance. We average the Betti number curves (the Betti numbers as a function of the threshold level) over many realizations of Gaussian fields and find that both the amplitude and shape of the Betti number curves depend on the slope of the power spectrum n in such a way that their shape becomes broader and their amplitude drops less steeply than the genus as n decreases. This behaviour contrasts with the fact that the shape of the genus curve is fixed for all Gaussian fields regardless of the power spectrum. Even though the Gaussian Betti number curves should be calculated for each given power spectrum, we propose to use the Betti numbers for better specification of the topology of large scale structures in the universe.

실험적(實驗的) 절식(絶食)에 있어서 혈액세포(血液細胞) 및 조혈기능(造血機能)의 변화(變化)에 관(關)한 연구(硏究) 1. 가토(家兎)의 절식경과(絶食經過)에 있어서 예비적(豫備的) 혈액학적(血液學的) 관찰(觀察) (ALTERATIONS OF BLOOD CELLS AND HEMATOPOIETIC FUNCTION DURING THE EXPERIMENTAL STARVATION I. PRELIMINRY HEMATOLOGICAL OBSERVATION IN THE COURSE OF STARVATION ON RABBITS)

  • 이방환
    • 대한수의학회지
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    • 제1권1호
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    • pp.1-29
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    • 1961
  • A routine hematological observation in the course of starvation was carried out on eight experimentel1y starved rabbits. They were strictly selected and restricted all of food intake with the exception of optional water intake until death. The body weight of each rabbit on the day before starvation was about 2 kilograms. The results are summarized as follows. 1. The average decrememt ratio of body weight on the terminal day before death was $34.3{\pm}7.5$ per cent with the range from 24.5 to 46.3 per cent. The average life duration until death was $10.25{\pm}2.6$ days, the range being from 6 to 14 days. 2. The decrease in number of reticulocytes with a parallel disappearance of polychromatic erythrocytes in peripheral blood in the course of starvation Was the most remarkable change in erythrocytic series, an evidence suggesting marked restriction of the erythropoietic function on 3rd to 4th day and almost complete suspension in about a week of starvation. 3. Erythrocyte count, hemoglobin content and haematocrit value of peripheral blood, were normal or indicative of slight hemoconcentration. 4. Mean Corpuscular Hemogloin Concentration was slightly higher than normal and Mean Corpuscular Volume tended to be low and no appreciable shifts were observed in Mean Corpuscular Diameter and Price-Jones curve of erythrocytes, while fewer macrocytes than normal were seen. These changes were considered to have resulted from a marked decrease in young erythrocytes in peripheral blood in the course of starvation. 5. Neither poikilccytoses or anisosytosis was observed. 6. Leukopenia was observed in all of 8 starved rabbits. The decrement ratio on the terminal day of starvation was between 13 to 64 per cent. The leukopenia was mainly due to fall of lymphocytes in 6 cases and to fall of neutrophilic leukocytes in the other 2 cases. In many cases, irregular fluctuation of neutrophilic leukocytes in its biological curve were seen in contrast to the relatively smooth changes of lymphocytes. Eosinophilic leukocytes tended to decrease in absolute number especially in later stage of starvation. Little significance in regard to monocytes and basophilic leukocytes in this study was discussed. 7. Proplasma cells, rarely plasma cells, appeared with a tendency to increase in number at later stage of starvation. 8. The most characteristic changes on circulating blood cells in complete starvation of rabbits were the leukoponia and failure of regeneration of erythroctes. These changes were considered as adaptive phenomena in response to the catabolic consumption of body constituents.

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21세기 패션디자인에 나타난 탈정형적 공간 표현에 관한 연구 (A Study on Post-formal Spatial Expression in 21 st Century Fashion Design)

  • 양희영;김소영
    • 복식
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    • 제58권8호
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    • pp.91-105
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    • 2008
  • Spatial multiplication phenomenon, expressed through de-constructive trend since the late of 20C, have got changed existing fixed and dis-variable space to smooth, fluid, and changeable space. Ex-form and fluidity of new spatial paradigm have been focused through lots of scientific theories studied between digital thought and indeterminacy and rankless nature phenomena. In 21C fashion, indeterminate and irregular form and space have been crested continuously, which could not explain simply according as the fluidity theory Different from the space crested for multi-function and multipurpose, this is revealed the characteristics of chaosmos that communizes the order and the disorder, deconstruction and creation. Ex-formal space of fashion have shown the relationship of de-centerizing, de-territorial, and do-structural phenomenon among different fashion elements. This paper intends to understand the concept of ex-form, and study expressive manners of ex-formal space of 21C fashion, and conclusion as follows. 1) Overlap changes single space of fashion to multi-layered space through the repeat system of pleats, origami, and folding. 2) Ex-gravity expressed in deviation of the gravity acting vertical direction, for example, twisting, curve, winding, portion. 3) Morphing is shown the change process from single fixed form to different complex form. 4) Blurring is expressed in re-combination and re-arrangement among elements of fashion. 5) Blob shows hybrid fashion space through the liberal compounding and separation of a lot of different elements.

금속유기분해법으로 제조한 니켈 망가나이트 박막의 구조적 특성 (Structural Properties of Nickel Manganite Thin Films Fabricated by Metal Organic Decomposition)

  • 이귀웅;전창준;정영훈;윤지선;남중희;조정호;백종후;윤종원
    • 한국전기전자재료학회논문지
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    • 제27권4호
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    • pp.226-231
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    • 2014
  • Thin thermistor films of solutions with nickel and manganese oxides were prepared by metal-organic decomposition (MOD). The structural properties of the thin films were investigated as a function of annealing temperature. Field emission scanning electron microscope (FE-SEM) results indicated that the thin films had a thin thickness, smooth and dense surface. The crystallization temperature of $414.9^{\circ}C$ was confirmed from thermogavimetric-differential thermal analysis (TG-DTA) curve. A single phase of cubic spinel structure was obtained for the thin film annealed from $700^{\circ}C$ to $800^{\circ}C$, which was confirmed from the X-ray diffraction (XRD). From the selected area electron diffraction (SAED) in high resolution transmission electron microscope (HRTEM), the nano grains (2~3 nm) of spinel phase with (311) and (222) planes were detected for the thin film annealed at $500^{\circ}C$, which could be applicable to read-out integrated circuit (ROIC) substrate of the uncooled microbolometer with low processing temperature.