• 제목/요약/키워드: Semi-Elliptical

검색결과 100건 처리시간 0.019초

A fracture criterion for high-strength steel cracked bars

  • Toribio, J.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.209-221
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    • 2002
  • In this paper a fracture criterion is proposed for cracked cylindrical samples of high-strength prestressing steels of different yield strength. The surface crack is assumed to be semi-elliptical, a geometry very adequate to model sharp defects produced by any subcritical mechanism of cracking: mechanical fatigue, stress-corrosion cracking, hydrogen embrittlement or corrosion fatigue. Two fracture criteria with different meanings are considered: a global (energetic) criterion based on the energy release rate G, and a local (stress) criterion based on the stress intensity factor $K_I$. The advantages and disadvantages of both criteria for engineering design are discussed in this paper on the basis of many experimental results of fracture tests on cracked wires of high-strength prestressing steels of different yield strength and with different degrees of strength anisotropy.

Development of the Fuzzy-Based System for Stress Intensity Factor Analysis

  • Lee, Joon--Seong
    • 한국지능시스템학회논문지
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    • 제12권3호
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    • pp.255-260
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    • 2002
  • This paper describes a fuzzy-based system for analyzing the stress intensity factors (SIFs) of three-dimensional (3D) cracks. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated by the bucketing method, and ten-coded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The singular elements such that the mid-point nodes near crack front are shifted at the quarter-points, and these are automatically placed along the 3D crack front. The complete finite element(FE) model is generated, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. To demonstrate practical performances of the present system, semi-elliptical surface cracks in a inhomogeneous plate subjected to uniform tension are solved.

THE VIRIAL RELATION AND INTRINSIC SHAPE OF EARLY-TYPE GALAXIES

  • TRIPPE, SASCHA
    • 천문학회지
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    • 제49권5호
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    • pp.193-198
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    • 2016
  • Early-type galaxies (ETGs) are supposed to follow the virial relation $M=k_e{\sigma}^2R_e/G$, with M being the mass, σ* being the stellar velocity dispersion, Re being the effective radius, G being Newton's constant, and ke being the virial factor, a geometry factor of order unity. Applying this relation to (a) the ATLAS3D sample of Cappellari et al. (2013) and (b) the sample of Saglia et al. (2016) gives ensemble-averaged factors 〈ke〉 = 5.15 ± 0.09 and 〈ke〉 = 4.01 ± 0.18, respectively, with the difference arising from different definitions of effective velocity dispersions. The two datasets reveal a statistically significant tilt of the empirical relation relative to the theoretical virial relation such that $M{\propto}({\sigma}^2_*R_e)^{0.92}$. This tilt disappears when replacing Re with the semi-major axis of the projected half-light ellipse, a. All best-fit scaling relations show zero intrinsic scatter, implying that the mass plane of ETGs is fully determined by the virial relation. Whenever a comparison is possible, my results are consistent with, and confirm, the results by Cappellari et al. (2013). The difference between the relations using either a or Re arises from a known lack of highly elliptical high-mass galaxies; this leads to a scaling (1 - ϵ ) ∝ M0.12, with ϵ being the ellipticity and $R_e=a\sqrt[]{1-{\epsilon}}$. Accordingly, a, not Re, is the correct proxy for the scale radius of ETGs. By geometry, this implies that early-type galaxies are axisymmetric and oblate in general, in agreement with published results from modeling based on kinematics and light distributions.

블완전용입 맞대기 용접재의 용입깊이에 따른 피로강도특성 및 잔류수명의 산출 (Investigation of Fatigue Strength and Prediction of Remaining Life in the Butt Welds Containing Penetration Defects)

  • 한승호;한정우;신병천
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.423-435
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    • 1998
  • 본 연구에서는 기존의 강교에서 흔하게 발견되고 있는 맞대기 용접부의 용입불량으로 인한 부재의 피로강도 저하도를 정량적으로 평가하고자 하였다. 이를 위하여 강교량의 재료로 널리 사용되고 있는 SWS490강으로 제작된 완전용입 및 용입깊이가 서로 다른 불완전용입 맞대기 용접시험편을 대상으로 일정진폭하중시험을 수행하여 S-N선도를 산출하고 이를 비교 검토하였으며, 파괴역학적 방법을 이용하여 불완전용입 용접재의 피로수명을 계산하였다. 본 연구의 결과로서, 완전용입 용접재의 경우 AASHTO의 피로강도등급선도와의 비교에서 피로한도값은 A등급보다 높은 값을 보였고, S-N선도의 기울기는 5.57로 매우 높게 나타났다. 불완전용입 용접재의 경우 불완전용입깊이 D가 증가함에 따라 피로강도가 감소하는데, D=14.7mm인 경우 AASHTO의 E'등급보다 낮게 나타난다. 불완전용입 용접재의 파손거동에서 피로균열은 내부 용접루트 선단부에서 a/c가 매우 작은 반타원형 표면균열의 형태로 발생하고, 시험체의 두께방향으로 진전하여 최종파손을 유발한다. 파괴역학적 방법을 이용한 불완전용입 용접재의 피로수명을 평가하기 위하여 3차원 반타원형 균열형상에 대한 응력확대계수 K를 유한요소해석으로 구하였다. 여기서 얻어진 K값과 실험으로 얻어진 Paris식의 상수를 이용하여 불완전용입 용접재의 피로수명을 계산하여 비교하였다. 그리고 실제 불완전용입 맞대기용접부의 파손으로 붕괴사고가 발생한 성수대교의 수직재에 본 연구결과를 적용하여 피로수명을 계산해 보았다.

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반타원형 균열을 가정한 파괴 및 피로역학에 의한 수소 압력용기의 예상 수명 계산과 두께와 내경이 미치는 영향 분석 (Calculation of Expected Life of Hydrogen Pressure Vessels by Fracture and Fatigue Mechanics assuming Semi-elliptical Cracks and Analysis of the Effect of Thickness and Radius)

  • 김정환;이화영;이민경;이재훈;유근준
    • 한국가스학회지
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    • 제25권6호
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    • pp.53-65
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    • 2021
  • 수소충전소의 빠른 확장 및 설치와 동시에 수소충전소의 고압수소 충전 압력용기에 대한 안전 검사가 매우 중요하게 이루어져야 한다. 이 중 ASME에 따르면 일정 압력 이상의 수소를 보관하는 용기에 대해서는 수소 취성 검사를 반드시 해야 한다. 수소취성 검사의 주된 시험방법으로 고압의 수소분위기에서 파괴시험 및 피로 파괴시험을 실시해야 하며, 이를 통해 수소 분위기에서 압력용기의 내구한계를 측정하고, 사용한계를 결정하도록 되어 있다. 세부적으로 stress intensity factor(K)로부터 한계균열깊이를 계산하고, da/dN(피로성장율)로부터 사용수명을 결정할 수 있다. API579-1/ ASME FFS-1 part 9에서 crack-like flaws의 모드에 따른 계산방법을 예시하고 있으나, 플레이트, 실린더 등 다양한 형태의 형상에 대하여 균열의 형상, 위치 등에 의하여 대략 55개 모드가 있고, 상당히 복잡한 수식으로 인하여 쉽게 접근을 못한다. 본 연구에서는 엑셀 및 VBA를 통하여 수치해석적으로 파괴역학계산하는 방법을 소개하고자 한다. 또한, 이를 적용하여 압력용기의 두께와 내경이 수명에 미치는 영향을 분석해 보았다.

7075-T651 AI 합금에 있어서 물리적 미소 표면 피로균열 성장거동에 관한 연구 (A Study on Physically small Surface Fatigue Crack Growth Behavior in 7075-T651 Aluminum Alloy)

  • 신용승;서성원;유헌일
    • 한국정밀공학회지
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    • 제9권1호
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    • pp.106-117
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    • 1992
  • In this study, the propagation behaviour and the closure phenomena of physically small surface cracks were investigated by the techinque of the Kikukawa-unloading elastic compliance method using a back face strain gage. The surface cracks initiated and propagated from notched specimens under constant amplitude bending load. The crack shape (aspect ratio) with approximately semi-circular at the early stage was changed to semi-elliptical as the cracks grew larger. The crack depth (a) could be expressed uniquenly by the crack length (c). The dependence of the crack propagation rate on the stress ratio R was strongly related in the lower ${\Delta}K$ range. The deceleration of the surface crack propagation rate was prominent in lower R during the crack length was small. When the propagation rate was rearranged with the effective stress intensity factor range ${\Delta}$K_{eff} the dependence of the crack propagation rate on the stress ratio R was found to be diminshed. These were caused by the crack closure phenomena that was most prominent at the lower propagation rate. The mechanism of crack closure phenomena was dominated by the plasticity-induced mechanism.

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용접지단부 TIG처리에 의한 피로강도향상 및 피로특성 (Fatigue Strength Improvement and Fatigue Characteristics by TIG-Dressing on Weld Bead Toes)

  • 정영화;김익겸;남왕현;장동휘
    • 산업기술연구
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    • 제20권A호
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    • pp.169-178
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    • 2000
  • The 4-point bending tests have been performed In order to estimate the effect of TIG-dressing on fatigue strength and fatigue characteristics quantitatively for non load-carrying fillet welded joints subjected to pure bending. As a result of fatigue tests, fatigue strengths of as-welded specimens have satisfied the grade of fatigue strength prescribed in specifications of korea, AASHTO and JSSC. Fatigue strength at 2 million cycles of TIG-dressing specimens have increased compared with as-welded specimens. As the result of beachmark tests, fatigue cracks occurred at several points, where the radius of curvature and flank angle in the weld bead toes were low, and grew as semi-elliptical cracks, then approached to fracture. As a result of finite element analysis, stress concentration factor in weld bead toes has closely related to the flank angle and radius of curvature, and between these, the radius of curvature has more largely affected in stress concentration factor than flank angle. As a result of fracture mechanics approaches, the crack correction factor of test specimens has largely affected on stress gradient correction factor in case a/t is below 0.4. From the relations between stress intensity factor range estimated from FEM analysis and fatigue crack growth rate, fatigue life has been correctly calculated.

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실린더에 존재하는 축방향 표면균열에 대한 공학적 J-적분식 (I) - 변형소성에 기초한 방법- (Engineering J-Integral Estimation for Internal Axial Surface Cracks in Cylinders (I) -Deformation Plasticity Based Estimation-)

  • 김진수;김윤재;박영재;김영진
    • 대한기계학회논문집A
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    • 제26권8호
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    • pp.1672-1679
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    • 2002
  • This paper provides an engineering J estimation equation for cylinders with finite internal axial surfacecracks under internal pressure. The proposed equation is the J estimation equation based on deformation plasticity using Ramberg-Osgood (R-O) materials. Based on detailed 3-D FE results using deformation plasticity, plastic influence functions for fully plastic J components are tabulated for practically interesting ranges of the mean radius-to-thickness ratio, the crack depth-to-length ratio, the crack depth-to-thickness ratio. the strain hardening index for the R-O material, and the location along the semi-elliptical crack front. Based on tabilated plastic influence functions, the J estimation equation along the crack front is proposed and validated for R-O materials. Good agreements between the FE results and the proposed J estimation provide confidence in the use of the proposed method to elastic-plastic fracture mechanics of pressurized piping.

복합하중을 받는 평판에 존재하는 반타원 표면균열의 공학적 탄소성 파괴해석법 (Engineering Elastic-Plastic Fracture Analysis for Semi-Elliptical Surface Cracked Plates Under Combined Bending and Tension)

  • 심도준;김윤재;최재붕;김영진
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.1127-1134
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    • 2002
  • The present paper provides an engineering J estimation equation for surface cracked plates under combined bending and tension. The proposed equation is based on the reference stress approach, and the most relevant normalising loads to define the reference stress for accurate J estimations are given for surface cracked plates under combined bending and tension. Comparisons with J results from extensive 3-D FE analyses, covering a wide range of crack geometry, plate geometry and loading combination, show overall good agreement not only at the deepest point but also at arbitrary points along the crack front. for pure tension, agreement between the estimated J and the FE results is excellent, even at the surface point. On the other hand, for pure bending and combined bending and tension, the estimated J values become less accurate for locations close to the surface point. Thus the results in this paper will be useful to assess short-term fracture or low cycle fatigue of surface defects in plates under combined bending and tension.

가압열충격을 받는 원자로용기의 확률론적 건전성 평가 (Probabilistic Evaluation of RV Integrity Under Pressurized Thermal Shock)

  • 김종민;배재현;손갑헌;윤기석;최택상
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.90-95
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    • 2004
  • The probabilistic fracture analysis is used to determine the effects of uncertainties involved in material properties, location and size of flaws, etc, which can not be addressed using a deterministic approach. In this paper the probabilistic fracture analysis is applied for evaluating the RV(Reactor Vessel) under PTS(Pressurised Thermal Shock). A semi-elliptical axial crack is assumed in the inside surface of RV. The selected random parameters are initial crack depth, neutron fluence, chemical composition of material (copper, nickel and phosphorous) and $RT_{NDT}$. The deterministically calculated $K_I$ and crack tip temperature are used for the probabilistic calculation. Using Monte Carlo simulation, the crack initiation probability for fixed flaw and PNNL(Pacific Northwest National Laboratory) flaw distribution is calculated. As the results show initiation probability of fixed flaw is much higher than that of PNNL distribution, the postulated crack sizes of 1/10t in this paper and 1/4t of ASME are evaluated to be very conservative.

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