• 제목/요약/키워드: Non-Linear Fracture Mechanics

검색결과 57건 처리시간 0.025초

SUS 304 강의 크리프 온도역에 있어서 피로균열성장거동에 관한 연구 (A Study on Fatigue Crack Growth Behavior at a Creep Temperature Region in SUS 304 Stainless Steel)

  • 주원식;오세욱;조석수
    • 대한기계학회논문집
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    • 제18권3호
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    • pp.548-554
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    • 1994
  • The high temperature fatigue crack growth behavior of SUS 304 stainless steel at $550^{\circ}C$ and $650^{\circ}C$ was investigated under various kinds of stress ratio and frequency in sinusoidal waveform on the basis of the non-linear fracture mechanics. The result arranging crack growth rate by modified J-integral J' showed influence of stress ratio and frequency. All the data obtained under the test at $550^{\circ}C$ were plotted within data band of da/dN-${\triangle}J_f$ relationship for cycle-dependent crack growth. On the basis of static creep and cycle-dependent data band; both time- and cycle-dependent crack growth behavior was observed under loading conditions at $650^{\circ}C$, but cycle-dependent crack growth behavior predominantly appeared and time-dependent crack growth behaviour was little observed under loading conditions at $550^{\circ}C$. Fractographic examinations for fracture surface indicated that the fracture mode was generally transgranular. The stripes were found on fracture surface and each stripe was accompanied by a crack tip blunting and an abrupt increase in the load-point displacement. The $J'_{an}$ had a validity in case of $650^{\circ}C, but scarcely had it in case of $550^{\circ}C$.

Seismic fragility evaluation of arch concrete dams through nonlinear incremental analysis using smeared crack model

  • Moradloo, Javad;Naserasadi, Kiarash;Zamani, Habib
    • Structural Engineering and Mechanics
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    • 제68권6호
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    • pp.747-760
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    • 2018
  • In the present study, a methodology for developing fragilities of arch concrete dams to assess their performance against seismic hazards is introduced. Firstly, the probability risk and fragility curves are presented, followed by implementation and representation of the way this method is used. Amirkabir arch concrete dam was subjected to non-linear dynamic analyses. A modified three dimensional rotating smeared crack model was used to take the nonlinear behavior of mass concrete into account. The proposed model considers major characteristics of mass concrete. These characteristics are pre-softening behavior, softening initiation criteria, fracture energy conservation, suitable damping mechanism and strain rate effect. In the present analysis, complete fluid-structure interaction is included to account for appropriate fluid compressibility and absorptive reservoir boundary conditions. In this study, the Amirkabir arch concrete dam is subjected to a set of 8 three-component earthquakes each scaled to 10 increasing intensity levels. Using proposed nonlinear smeared crack model, nonlinear analysis is performed where the structure is subjected to a large set of scaled and un-scaled ground motions and the maximum responses are extracted for each one and plotted. Based on the results, fragility curves were plotted according to various and possible damages indexes. Discrete damage probabilities were calculated using statistical methods for each considered performance level and incremental nonlinear analysis. Then, fragility curves were constructed based on the lognormal distribution assumption. Two damage indexes were introduced and compared to one another. The results indicate that the dam has a proper stability under earthquake conditions at MCE level. Moreover, displacement damages index is more conservative and impractical in the fragility analysis than tensional damage index.

Timber-FRP composite beam subjected to negative bending

  • Subhani, Mahbube;Globa, Anastasia;Moloney, Jules
    • Structural Engineering and Mechanics
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    • 제73권3호
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    • pp.353-365
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    • 2020
  • In the previous studies, the authors proposed the use of laminated veneer lumber - carbon fiber reinforced polymer (LVL-CFRP) composite beams for structural application. Bond strength of the LVL-to-CFRP interface and flexural strengthening schemes to increase the bending capacity subjected to positive and negative moment were discussed in the previous works. In this article, theoretical models are proposed to predict the moment capacity when the LVL-CFRP beams are subjected to negative moment. Two common failure modes - CFRP fracture and debonding of CFRP are considered. The non-linear model proposed for positive moment is modified for negative moment to determine the section moment capacity. For the debonding based failure, previously developed bond strength model for CFRP-to-LVL interface is implemented. The theoretical models are validated against the experimental results and then use to determine the moment-rotation behaviour and rotational rigidity to compare the efficacy of various strengthening techniques. It is found that combined use of bi- and uni-directional CFRP U-wrap at the joint performs well in terms of both moment capacity and rotational rigidity.

내압이 작용하는 원주방향 관통균열 배관의 비선형 파괴역학 해석법 (An Engineering Method for Non-Linear Fracture Mechanics Analysis of Circumferential Through-Wall Cracked Pipes Under Internal Pressure)

  • 허남수;김윤재;김영진
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.1099-1106
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    • 2002
  • This paper provides engineering J-integral and crack opening displacement (COD) estimation equations for circumferential through-wall cracked pipes under internal pressure and under combined internal pressure and bending. Based on selected 3-D finite element calculations for the circumferential through-wall cracked pipes under internal pressure using the idealized power law materials, the elastic and plastic influence functions for fully plastic J-integral and COD solutions are found as a function of the normalized crack length and the mean radius-to-thickness ratio. These developed GE/EPRI-type solutions are then re-formulated based on the enhanced reference stress method. Such re-formulation not only provides simpler equations for J-integral and COD estimations, but also can be easily extended to combined internal pressure and bending. The proposed equations are compared with elastic-plastic finite element results using actual stress-strain data, which shows overall excellent agreement.

3차원 유한요소해석을 통해 도출한 균열배관의 소성한계압력식 (Plastic Limit Pressure Solutions for Cracked Pipes Using 3-D Finite Element Method)

  • 심도준;허남수;김윤재;김영진
    • 대한기계학회논문집A
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    • 제27권1호
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    • pp.26-33
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    • 2003
  • Based on detailed FE limit analyses, the present paper provides tractable approximations fer plastic limit pressure solutions fur axially through-wall-cracked pipe; axially (inner) surface-cracked pipe; circumferentially through-wall-cracked pipe; and circumferentially (inner) surface-cracked pipe. In particular, for surface crack problems, the effect of the crack shape, the semi-elliptical shape or the rectangular shape, on the limit pressure is quantified. Comparisons with existing analytical and empirical solutions show a large discrepancy in circumferential short through-wall cracks and in surface cracks (both axial and circumferential). Being based on detailed 3-D FE limit analysis, the present solutions are believed to be the most accurate, and thus to be valuable information not only for plastic collapse analysis of pressurised piping but also for estimating non-linear fracture mechanics parameters based on the reference stress approach.

포화유무에 따른 KURT 화강암의 균열손상 기준 및 수정 파괴인성 측정(Level II Method) (Evaluation of Stress Thresholds in Crack Development and Corrected Fracture Toughness of KURT Granite under Dry and Saturated Conditions)

  • 김진섭;홍창호;김건영
    • 터널과지하공간
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    • 제30권3호
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    • pp.256-269
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    • 2020
  • 본 연구의 목적은 KURT 화강암 시료의 포화유무에 따른 균열손상 기준과 파괴인성의 변화를 측정하는 것이다. 이를 위하여 일축압축시험을 이용한 소성체적변형률을 통해 KURT 화강암의 균열손상 기준을 도출하였다. 또한 암석의 파괴인성을 보다 신뢰성 있게 측정하기 위해 암석의 비선형적 변형에 대한 보정(Level II Method; ISRM, 1988) 을 통해 포화유무에 따른 KURT 화강암의 수정 파괴인성(corrected fracture toughness)을 측정하였다. 시험결과 건조시료의 평균 균열개시 응력(σci)과 균열손상 응력(σcd)은 91.1 MPa과 128.7 MPa이었으며, 포화시료의 평균 균열개시 응력(σci)과 균열손상 응력(σcd)은 58.2 MPa과 68.2 MPa이었다. 건조시료에 비해 포화시료의 균열개시 응력은 36% 감소하였으며 균열손상 응력은 건조시료 대비 47%나 감소되는 결과를 나타내었다. 균열손상 응력(σcd)이 상대적으로 더욱 감소하였음을 감안할 때 시료의 포화로 인해 더 낮은 응력조건에서 구조물에 대한 손상이 쉽게 발생할 수 있음을 알 수 있다. KURT 화강암의 비선형성을 고려한 수정 파괴인성은 0.811 MPa·m0.5이었으며 포화시료의 수정 파괴인성은 0.620 MPa·m0.5이었다. 즉 암석의 비선형성을 고려함으로써 파괴인성의 증가를 확인할 수 있었으며, 암석의 포화시 수정 파괴인성은 24% 감소하였다. 따라서 지하수 포화로 인해 암석 내 균열의 생성과 진전에 대한 저항성이 감소함을 알 수 있다.

2차원 균열판의 p-적응적 유한요소해석을 위한 정규크리깅 보간법의 적용 (Application of Ordinary Kriging Interpolation Method for p-Adaptive Finite Element Analysis of 2-D Cracked Plates)

  • 우광성;조준형;박미영
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.429-440
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    • 2006
  • 이 연구의 목적은 두 가지로 대별할 수 있다. 첫째는, 베리오그램 모델링에 기초를 둔 정규크리깅 보간법의 p-적응적 유한요소법으로의 적용성이다. 둘째는, 수정된 초수렴 팻취복구 기법을 사용한 사후오차평가기와 연계된 계층적 p-체눈 세분화의 적응적 유한요소 과정을 제시하는 것이다. 가중치를 부여한 보간기법중의 하나인 정규크리깅 방법은 가우스 적분점에서의 응력데이타로 부터 소위 준정해를 얻는데 적용된다. 가중치를 동일하게 가정하는 종래의 보간기법과는 달리 실험적 및 이론적 베리오그램을 작성한 후 보간을 위한 가중치를 결정하게 된다. 한편, 적응적 p-체눈 세분화는 해석영역의 각 체눈에서 p-차수를 만족할만한 정확도를 얻을 수 있도록 프로그램내에서 자동으로 사후오차평가를 통해 불균등 또는 선택적으로 증가시킨다. 수정된 초수렴 팻취복구기법을 검증하기 위해 극한치를 사용한 새로운 오차평가기가 제안된다. 제안된 알고리즘의 정당성은 선형탄성파괴역학의 대표적 문제들인 중앙균열판, 일변균열 및 양변균열 해석을 통해 테스트되었다.