• 제목/요약/키워드: crack instability analysis

검색결과 47건 처리시간 0.023초

열충격이 작용하는 취성구조의 신뢰성 평가 (Reliability evaluation of brittle structures under thermal shocks)

  • 이치우;장건익;김종태
    • 한국해양공학회지
    • /
    • 제12권1호
    • /
    • pp.58-64
    • /
    • 1998
  • An analysis method for the reliability of ceramic structures subjected to thermal shocks is presented. Flaws with the size of given probability distribution function are assumed to be distributed at random with a certain density per unit volume in the structures. Criterions for crack instability are derived for brittle solids under general thermal stresses. A probabilistic failure model is presented to study the probability of crack instability for brittle solids containing cracks with uncertain size. The reliabilities of brittle structures are evaluated based on the weakest-link hypothesis, which states that a structure fails when the cracks in any differential volume become unstable. A numerical example is given to demonstrate the application of the proposed method.

  • PDF

내압이 작용하는 직관과 엘보우의 경계면에 존재하는 원주방향 관통균열의 응력확대계수 및 탄성 균열열림변위 예측식 (Closed-Form Solutions for Stress Intensity Factor and Elastic Crack Opening Displacement for Circumferential Through-Wall Cracks in the Interface between an Elbow and a Straight Pipe under Internal Pressure)

  • 장윤영;정재욱;허남수;김기석;조우연
    • 한국생산제조학회지
    • /
    • 제24권5호
    • /
    • pp.553-560
    • /
    • 2015
  • Fracture mechanics analysis for cracked pipes is essential for applying the leak-before-break (LBB) concept to nuclear piping design. For LBB assessment, crack instability and leak rate should be predicted accurately for through-wall cracked pipes. In a nuclear piping system, elbows are connected with straight pipes by circumferential welding; this weld region is often considered a critical location. Hence, accurate crack assessment is necessary for cracks in the interface between elbows and straight pipes. In this study, the stress intensity factor (SIF) and elastic crack opening displacement (COD) were estimated through detailed 3D elastic finite element (FE) analyses. Based on the results, closed-form solutions of shape factors for calculating the SIFs and elastic CODs were proposed for circumferential through-wall cracks in the abovementioned interfaces under internal pressure. In addition, the effect of the elbow on shape factors was investigated by comparing the results with the existing solutions for a straight pipe.

Experimental study on rock-coal-rock composite structure with different crack characteristics

  • Li, Tan;Chen, Guangbo;Li, Qinghai
    • Geomechanics and Engineering
    • /
    • 제29권4호
    • /
    • pp.377-390
    • /
    • 2022
  • The stability of the roof rock-coal pillar-floor rock composite structure is of great significance to coal mine safety production. The cracks existing in the composite structure seriously affect the stability of the roof rock-coal pillar-floor rock composite structure. The numerical simulation tests of rock-coal-rock composite structures with different crack characteristics were carried out to reveal the composite structures' mechanical properties and failure mechanisms. The test results show that the rock-coal-rock composite structure's peak stress and elastic modulus are directly proportional to the crack angle and inversely proportional to the crack length. The smaller the crack angle, the more branch cracks produced near the main control crack in the rock-coal-rock composite structure, and the larger the angle between the main control crack and the crack. The smaller the crack length, the larger the width of the crack zone. The impact energy index of the rock-coal-rock composite structure decreases first and then increases with the increase of crack length and increases with the increase of crack angle. The functional relationships between the different crack characteristics, peak stress, and impact energy index are determined based on the sensitivity analysis. The determination of the functional relationship can fully grasp the influence of the crack angle and the crack length on the peak stress and impact energy index of the coal-rock composite structure. The research results can provide a theoretical basis and guidance for preventing the instability and failure of the coal pillar-roof composite structure.

1/2T Compact-Tension Type 시편으로 구한 J-R (J-T) 곡선의 타당성 검토. (Qualification of J-R (J-T) Curve from 1/2T Compact-Tension Specimen)

  • Jee, Sae-Hwan;Park, Sun-Pil
    • Nuclear Engineering and Technology
    • /
    • 제19권3호
    • /
    • pp.169-179
    • /
    • 1987
  • 소형시험편(1/2"T)을 이용, 균열진전량 및 J계산식에 따른 재료의 J-R (J-T) 곡선의 변화를 조사하여 신뢰성있는 J-R(J-T) 곡선을 구하기 위한 실험 및 해석방법을 고찰하였다. 시험은 국내 원자력발전소 압력용기감시 시험에 포함되어 있는 파괴인성시편과 꼭같이 SA 533 Grade 3, Class1 재료로 제작한 1/2"T, C-T 시편을 이용, Single Specimen Unloading Compliance Technique으로 수행하였다. 시험 및 해석결과 Ernst의 Deformation theory J (JD)식을 이용하여 초기 Uncracked ligament (be)의 25~30%까지 균열을 진전시켜 구한 J-R(J-T) 곡선이 대형시편의 결과와 가장 유사한 값을 나타내었다. 한편 Ernst의 Modified J (JM)식에 의한 J-R (J-T) 곡선은 Deformation theory J(JD)에 의한 J-R(J-T) 곡선보다 다소 높은 Instability 예측점을 얻을 수 있기 때문에 실제 압력용기 안전성 해석시에는 가동률향상 및 수명연장 측면에서 Modified J의 사용은 고려되어야 할 것이다.되어야 할 것이다.

  • PDF

인장 불안정이 제거된 SPH을 이용한 고체의 동적 탄소성해석 (Elasto-Plastic Dynamic Analysis of Solids by Using SPH without Tensile Instability)

  • 이경수;신상섭;박대효
    • 대한토목학회논문집
    • /
    • 제31권2A호
    • /
    • pp.71-77
    • /
    • 2011
  • 본 논문은 고체의 동적 탄소성해석을 수행하기 위해 인장불안정이 제거된 SPH기법을 사용하였다. 인장불안정은 SPH 입자들이 인장력에 의해 서로 떨어져나가는 해석적 오류현상이며, 재료적 특성에 따라 해석결과에 큰 영향을 미치게 된다. 이와 같은 인장불안정을 제어하기 위한 방법으로 본 연구에서는 가상응력의 개념을 적용하였다. 본 연구에서 제시한 SPH에 의해 해석예제를 수행하여 해석법의 효율성을 검증하였으며, 해석예제로 원형 링의 충돌문제와, 절단, 균열과 같은 재료적 파괴문제를 수행하였다.

Modeling or rock slope stability and rockburst by the rock failure process analysis (RFPA) method

  • Tang, Chun'an;Tang, Shibin
    • 한국암반공학회:학술대회논문집
    • /
    • 한국암반공학회 2011년도 추계 총회 및 창립 30주년 기념 심포지엄
    • /
    • pp.89-97
    • /
    • 2011
  • Brittle failure of rock is a classical rock mechanics problem. Rock failure not only involves initiation and propagation of single crack, but also is a complex problem associated with initiation, propagation and coalescence of many cracks. As the most important feature of rock material properties is the heterogeneity, the Weibull statistical distribution is employed in the rock failure process analysis (RFPA) method to describe the heterogeneity in rock properties. In this paper, the applications of the RFPA method in geotechnical engineering and rockburst modeling are introduced with emphasis, which can provide some references for relevant researches.

  • PDF

크랙을 가진 유체유동 파이프의 안정성 및 동특성 해석 (Stability and Dynamic Behavior of Cracked Pipe Conveying Fluid)

  • 윤한익;손인수;안성진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
    • /
    • pp.703-708
    • /
    • 2006
  • In this paper a dynamic behavior(natural frequency) of a cracked simply supported pipe conveying fluid is presented. In addition, an analysis of the buckling instability of a cracked pipe conveying fluid subjected to a follower compressive load is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. TI1e crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

  • PDF

경사 종동력을 받는 티모센코 보의 안정성에 미치는 크랙의 영향 (Effects of Crack on Stability of Timoshenko Beams Subjected to Subtangential Follower Force)

  • 손인수;윤한익
    • 한국소음진동공학회논문집
    • /
    • 제18권12호
    • /
    • pp.1327-1334
    • /
    • 2008
  • In this paper, the purpose is to investigate the stability of cracked Timoshenko cantilever beams subjected to subtangential follower force. In addition, an analysis of the instability(critical follower force of flutter and divergence) of a cracked beam as slenderness ratio and subtangential coefficient is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The results of this study will contribute to the safety test and stability estimation of structures of a cracked beam subjected to subtangential follower force.

해양구조물의 원통형 조인트에 대한 파괴역학적 피로수명 산출방법의 설정 (Establishment of Fracture Mechanics Fatigue Life Analysis Procedures for Offshore Tubular Joints -part II : Fatigue Life Analysis for a Multi-Plan Tubular Joint)

  • 이희종
    • 한국해양공학회지
    • /
    • 제3권2호
    • /
    • pp.87-100
    • /
    • 1989
  • 해양구조물의 원통형 조인트에 대한 파괴역학적 피로수명 산출방법이 개발되었다. 개발된 방법을 이용해서 2평면 K형 조인트에 대한 피로수명을 구체적인 파괴역학적 방법으로 산출 하였다. 이 분석을 위해 용접부위 표면균열의 응력확대 계수를 3차원 유한요소법에 의해 계산하였다. 계산된 결과에 의하면 용접부위 표면균열 첨단은 단순한 Mode I형태를 보이지 않고 Mode I, II, III이 복합된 형태임이 입증되었다. 계산된 응력확대 계수를 사용해서 16개의 용접부위균열 성장형태를 일반적인 피로균열 성장법칙을 적용해서 계산하였고, 균열성장의 안정분석을 통해 각 균열의 최종 파괴상태를 파괴해석도면(failure assessment diagram)법을 이용해서 계산하였다.

  • PDF