• 제목/요약/키워드: LEFM

검색결과 61건 처리시간 0.025초

피로와 파괴력학(I)

  • 최용식
    • 기계저널
    • /
    • 제16권4호
    • /
    • pp.41-48
    • /
    • 1976
  • 재료의 피로문제에 대해서는 꽤 오래 전부터 많은 연구가 이루어져왔고, 피로의 현상파악에서부 터 피로이론의 구명, 나아가서는 실제문제로서의 피로설계, 피로수명예측 등에 기여한 업적은 아 주 크다 하겠다. 그러나 종래의 피로문제연구의 방향이, S-N 곡선에서 얻어지는 피로한계강도 (더 정확한 표현으론 피로파괴한계강동)에 바탕을 두고, 정력확적인 설계관례인 안전계수의 도입 을 빌려, 피로강도를 실용화할려는 선에서 이루어져 왔다고 보겠다. 재료의 피로한계강도란, 그 정의로 미루어, 다분히 정적으로는 극한강도 또는 피로강도의 개념에 견주어 질 수 있는 공칭응 력으로써 탄성학적으로 해석될 수도 없고, 다만 탄역성이론의 개념을 바탕으로 근사해석례만이 허용되고 있을 뿐이다. 재료에는 소위 평활재이건 절결재이건 간에 또 검출여부에 관계없이, 내외 부에 대소각종의 결함이나 역학적 불연속부가 잠재해있음은 이미 공지의 사실이며, 이들 결합, 불 연속부등이 외하중하에서 응분의 응력집중원이 되어 재료를 전반적인 파괴로 몰고 갈 수 있다 함 도, 또한 이러한 역학적거동이 피로파괴에 까지 확장해석될 수 있을 것이란 것도 이미 잘 알려져 있는 터이라 하겠다. 재료내외부의 제결합을 응력집중이 극대인 crack로 대체해서 외하중하에서 의 응력장거동을 해석한 선형탄성파괴역학(LEFM)은, 바로 이러한 실제재료의 강도설계에 보다 큰 정확성을 부여한 방법론적 학문이라 하겠고, 나아가서는 재료의 파괴기구를 파헤치는데 진일 보적인 역학적인 수법이라 하겠다. 취성파괴, 연성파괴에 바탕을 둔 파괴역학(LEFM)을 피로파괴 에 적용시키는 데는 상당한 문제점들을 수반할 것임은 충분히 인지되나, 제한된 경계조건하에서 의 적용 예는 종래의 어떤 방법에 의한 것 보다도 피로강도설계, 안전사용 피로수명예측 등에 획기적인 진전을 보여주고 있다. 파괴역학은 crack 재의 강도학이고, 더 구체적으로 음력학대계수 (stress intensity factor) K 또는 이와 연연되는 parameter 인 strain energy release rate(G), crack-tip plactic zone size r$_{p}$,.rho., crack-tip opening displacement .phi., strain intensity 등을 쓰는 재료강도학이기 때문에, 이 수법을 피로파괴에 적용시킴은, 종래의 공칭응력으로 피로 문제를 다루던 방법과는 판이하다 하겠다. 본고에선 파괴역학의 관점에서 피로구열의 안정성장을 논하고, 과거 10여년간의 피로 crack문제에 대한 연구방법, 실험방법 등을 소개하는 방향으로 고 를 진행시켜 나가겠다.

  • PDF

탄소섬유쉬트로 보강된 철근콘크리트보의 계면박리에 대한 해석적 연구 (Analytical Study on Interface Debonding of Reinforced Concrete Beams Strengthened with Carbon Fiber Sheet(CFS))

  • 심종성;배인환
    • 콘크리트학회지
    • /
    • 제11권2호
    • /
    • pp.177-186
    • /
    • 1999
  • 본 연구의 목적은 탄소섬유쉬트로 보강된 시험체의 주요 파괴모드인 계면모드인 계면박리 모드에 의한 부재의 파괴를 규명하는 것이다. 탄소섬유쉬트로 보강된 손상된 보시험체의 계면박리 모드를 해석하기 위하여 선형탄성 파괴역학(LEFM)의 컴플라이언스법과 유한요소법을 사용하여 계면파괴 역학변수인 에너지해방율(strain energy release rate, G)을 고찰하였다. 손상된 단순 보시험체의 해석결과, 최대 에너지해방율($G_{max}$)은 에폭시 접착두께에 관계없이 바깥 휨균열에서 시작된 계면 전단 균열 길이가 18mm 부근에서 발생하였다. 보강보의 강도 해석결과, 극한강도 설계법에 따른 단면의 공칭 휨 강도에 대한 계면박리에 의해 부재가 파괴되는 것으로 해석되었다. 또한 적용된 접착두께 1mm~3mm는 에너지해방율에 거의 영향을 미치지 않아 계면박리의 주요 인자가 아닌 것으로 나타났다.

응력비의 영향을 고려한 표면피로균열의 균열성장식 (Fatigue Crack Growth Equation considered the Effect of Stress Ratio)

  • 강용구;김대석
    • 한국해양공학회지
    • /
    • 제12권1호
    • /
    • pp.39-49
    • /
    • 1998
  • In this work, fatigue tests by axial loading were carried out to investigate the effect of stress ratio on the growth behaviors of surface fatigue crack for SM45C steel and Al 2024-T4 alloy. The growth behaviors of surface crack have been monitored during fatigue process by measuring system attached CCTV and monitor. When the growth rates of surface crack were investigate by the concept of LEFM based on Newman-Raju's .DELTA.K, the dependence of stress ratio appears both SM45C steel and Al 2024-T4 alloy. Therefore, modified stress intensity factor range, .DELTA.K' [=(1+R)/sup n/.DELTA.K] are intorduced to eliminate the dependence of stress ratio. Using .DELTA.K', it is found that the dependence of stress ratio disappears both SM45C steel and Al 2024-T4 alloy.

  • PDF

철근콘크리트보의 휨-전단균열에 대한 파괴역학적 해석 (Fracture Analysis of Flexural-Shear Failure in RC Beams)

  • 임철원;김대중;김우
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 1998년도 가을 학술발표논문집(II)
    • /
    • pp.418-423
    • /
    • 1998
  • This paper is intended to investigate the behavior of flexural-shear cracking in reinforced concrete beams without web reinforcement with FEM incorporated into a linear elastic fracture mechanics approach(LEFM). Each crack was propagated progressively by a finite length, then the quantitative reponses were examined. The results show that the horizontal crack was initiated by the bond-jnduced shear stress due to horizontal shearing action of the T-C force couple after the formation of the critical flexural crack. Also, the horizontal crack is considered to be a major factor of shear failure in slender reinforced concrete beams without web reinforcement.

  • PDF

Al 7075-T651의 부식피로균열 성장 거동에 관한 연구(II) (A Study on Corrosion Fatigue Crack Growth Behavior in Al 7075-T651(II))

  • 한지원;우흥식
    • 한국안전학회지
    • /
    • 제14권2호
    • /
    • pp.3-10
    • /
    • 1999
  • Fatigue crack growth rates in commercial plate of high strength Al 7075-T651 were investigated for the T-L direction in air, water and sea water. In this paper the effect of cyclic load wave-form(trapezoid and triangle) on fatigue crack growth rates in air, water and sea water environments were investigated using standard LEFM testing procedures. It was founded that the fatigue crack growth behaviors were not affected by cyclic load wave-forms. In region II (stable crack growth region), the fatigue crack growth behaviors were insensitive to cyclic load wave-forms and were sensitive to environment i.e. fatigue crack growth behaviors were higher in sea water than in air for all cyclic load wave-form. The result of fractographical morphology in air, water and sea water by SEM showed obvious dimple rupture and typical striation in air, but transgranular fracture surface in water and sea water. The values m are not affected by corrosion environments but C are different values.

  • PDF

염색체 침투법을 이용한 쐐기쪼갬시험체의 파괴특성 (Fracture Measurements on WST test using Dye Penetration Method)

  • 어석홍;박영규;황규만;최덕진;홍기호
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2001년도 가을 학술발표회 논문집
    • /
    • pp.719-724
    • /
    • 2001
  • In this study, wedge splitting tensile test(WST) using dye penetration method was carried out to investigate cracking criterion and fracture characteristics of concrete. For the this purpose, three levels of compressive strength of 180, 300 and 600 kgf/$\textrm{cm}^2$ and five testing age of 1, 3, 7, 14 and 28 days were selected as test variables. The specimen was loaded in a controlled manner and then dye was inserted at the load of 40%, 70% of the presumed peak load and at the load of 90% just after peak load. The fracture process zone was measured at each load step of a specimen. Test results were compared with analytic results by linear elastic fracture mechanics(LEFM) and numerical results through fictitious crack model(FCM) and finite element method(FEM).

  • PDF

필릿 용접부의 면외굽힘하중에 대한 피로강도 (Fatigue Strength of Fillet Weldment under Out-of-plane Bending Load)

  • 강성원;한상혁;김화수;백영민
    • 대한조선학회논문집
    • /
    • 제40권1호
    • /
    • pp.28-35
    • /
    • 2003
  • Fatigue tests of transverse fillet weldment were performed under out-of-plane bending loads. Significant increase of the fatigue strength was observed under out-of-plane bending loads, compared to the one under in-plane loads (axial loads). Applicability of the crack propagation analysis using LEFM for the surface crack of fillet weldment were investigated as well, in parallel with the fatigue tests. For the rational assessment of the fatigue strength of welded ship structures where combined stresses of the in-plane axial stress and the out-of-plane bending stress are induced simultaneously due to complexity of applied load and structural geometry, further investigation is recommended for the effect of the out-of-plane bending stress on the fatigue strength of weldment.

P-Version 유한요소법에 의한 피로 균열 해석 (Fatigue Crack Propagation Analysis by P-version of Finite Element Method)

  • 우광성;이채규
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1992년도 봄 학술발표회 논문집
    • /
    • pp.30-35
    • /
    • 1992
  • Since many design problems in the railroad, aerospace and machine structures involve considerations of the effect of cyclic loading, manufacturing and quality control processes must fully account for fatigue of critical components. Due to the sensitivity of the Paris law, it is very important to calculate the ΔK numerically to minimize the error of predicted fatigue life in cycles. It is shown that the p-version of FEM based on LEFM analysis is far better suited for computing the stress intensity factors than the conventional h-version. To demonstrate the proficiency of the proposed scheme, the welded T-joint with crack problem of box car body bolster assembly and a crack problem emanating Iron a circular hole in finite strip have been solved.

  • PDF

표면적분법을 이용한 콘크리트 댐의 균열 해석 (Crack Analysis of Concrete Gravity Dam Using Surface Integral Method)

  • 진치섭;이영호;손기석
    • 콘크리트학회논문집
    • /
    • 제12권3호
    • /
    • pp.31-37
    • /
    • 2000
  • When a crack is produced in a concrete structure, a micro crack zone of fracture process zone (FPZ) appears at the crack tip. To investigate the behaviour of this the micro crack zone, nonlinear fracture mechanics (NLFM) must be applied. However, when a massive concrete structure such as a concrete gravity dam is considered, the micro crack zone can be neglected and the structure can be assumed to have linear elastic fracture mechanics (LEFM) behaviour. This study is divided into two main topics : (1) Calculating stress intensity factor (SIF) at the crack tip by surface integral method and (2) Investigating the propagation of the initial crack. If the initial crack propagates, the angle of the propagation is calculated by using maximum circumferential tensile strength theory. This study, also, contains the effects of body forces and water pressures on the crack face.

피로하중을 받는 구조물의 결함분포에 대한 확률론적 해석 (Probabilistic Analysis of Flaw Distribution on Structure Under Cyclic Load)

  • 곽상록;최영환;김효정
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 춘계학술대회
    • /
    • pp.604-609
    • /
    • 2003
  • Flaw geometries, applied stress, and material properties are major input variables for the fracture mechanics analysis. Probabilistic approach can be applied for the consideration of uncertainties within these input variables. But probabilistic analysis requires many assumptions due to the lack of initial flaw distributions data. In this study correlations are examined between initial flaw distributions and in-service flaw distributions on structures under cyclic load. For the analysis, LEFM theories and Monte Carlo simulation are applied. Result shows that in-service flaw distributions are determined by initial flaw distributions rather than fatigue crack growth rate. So initial flaw distribution can be derived from in-service flaw distributions.

  • PDF