• 제목/요약/키워드: Circular Crack

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노치형태 변화에 따른 Al/AFRP 적층재의 층간분리거동 (Variation of Notch Shape on the Delamination Zone Behavior in Al/AFRP Laminates)

  • 송삼홍;김철웅
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.278-285
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    • 2001
  • Aluminum/Aramid Fiber Reinforced Plastic(Al/AFRP) laminates are applied to the fuselage-wing intersection. The main objective of this study was to evaluate the delamination zone behavior of Al/AFRP with a saw-cut and circular hole using average stress criterion and the effect of notch geometry. Mechanical tests were carried out to determine the cyclic-bending moment and delamination zone observed ultrasonic C-scan pictures. In case of Al/AFRP containing saw-cut specimen, the shape and size of the delamination zone formed along the fatigue crack. However, in case of Al/AFRP containing circular hole specimen, the shape and size of delamination zone formed two types. first type, delamination zone formed along the fatigue crack. Second type, not observed fatigue crack. Therefore, delamination zone was formed dependently of the circular hole shape.

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New analytical model for the hoop contribution to the shear capacity of circular reinforced concrete columns

  • Trentadue, Francesco;Quaranta, Giuseppe;Greco, Rita;Marano, Giuseppe Carlo
    • Computers and Concrete
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    • 제14권1호
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    • pp.59-71
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    • 2014
  • The paper is concerned with the analytical description of a resistance mechanism, not considered in previous models, by which the hoops contribute to the shear capacity of RC columns with circular cross sections. The difference from previous approaches consists in observing that, because of deformation, the hoops change their original shape and, as a consequence, their slope does not match anymore the original one in the neighborhood of a crack. The model involves two parameters only, namely the crack inclination and the hoop strain in the neighborhood of a crack. A closed-form analytical formulation to correlate the average value of the crack width and the hoop strain is also provided. Results obtained using the proposed model have been compared with experimental data, and a satisfactory agreement is found.

원공(圓孔)에 접근(接近)하는 균열(龜裂)이 있는 판(板)이 경계요소해석(境界要素解析) (Boundary Element Analysis of Plate with Crack Approaching Circular Holes)

  • 양창현;김일곤
    • 대한토목학회논문집
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    • 제7권1호
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    • pp.103-110
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    • 1987
  • 구조물(構造物)에 발생(發生)한 균열(龜裂)이 원공(圓孔)에 접근(接近)할 때 원공(圓孔)과 균열선단(龜裂先端)에서는 큰 응력집중현상(應力集中現象)이 생긴다. 이러한 구조물(構造物)의 응력집중(應力集中)에 대한 수치해석방법(數値解析方法)으로 지금까지 주로 유한요소법(有限要素法)이 사용(使用)되어 왔으나 본 연구(硏究)에서는 유한요소법(有限要素法)에 비(比)해 입력자료(入力資料)와 계산시간(計算時間)을 현저히 줄일 수 있는 경계요소법(境界要素法)(boundary element method)을 시도(試圖)하였다. 두개의 원공(圓孔)사이에 균열(龜裂)이 있는 평판(平板)을 모델로 채택하여 경계요소법(境界要素法)으로 구한 해(解)를 Newman에 의한 경계선점법(境界選點法)(boundary collocation method)의 해와(解) 비교(比較)하였고 원공(圓孔)과 균열선단(龜裂先端)에서 역학적(力學的) 거동(擧動을 구명(究明)하였다.

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철근콘크리트 기둥에서 원형전단철근에 의한 전단강도 산정 (Evaluation of the Shear Strength Component by Circular Transverse Reinforcement in Reinforced Concrete Columns)

  • 하태훈;홍성걸
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.982-988
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    • 2002
  • 철근콘크리트 기둥에서 원형 전단철근에 의한 전단강도 성분을 산정하는 기존의 기준식들은 일반적으로 그 강도를 과대평가하는 경향이 있다. 그 이유는 불연속분포로 이루어진 철근의 배근을 단순한 연속분포로 가정하는 데에서 기인하며, 또 다른 한편으로는 단면이 직사각형인 부재에 사용되는 설계식을 원형 단면에 그대로 적용함으로써 발생한다. 전단철근은 부재에 대각선균열이 발생하면서 그 역할이 시작된다고 할 수 있는데, 원형 단면은 직사각형 단면과는 달리 균열을 가로지르는 지점에 따라 전단력에 저항하는 성분이 달라지기 때문이다. 본 연구에서는 원형 전단철근에 대하여 대각선 균열의 시작점과 그 균열을 가로지르는 전단철근의 개수, 그리고 원형단면 상에서의 저항성분의 변화를 고려한 새로운 강도모델을 제안하고자 하였다. 제안된 모델의 수학적인 해석에 따르면 균열을 가로지르는 철근의 개수가 적을수록 균열의 시작점 및 균열의 수직투영거리가 철근의 배근 간격과 이루는 배율이 철근의 전단저항에 미치는 영향이 크다는 사실을 알 수 있었다. 본 연구의 결과로 도출된 불연속 모델을 설계에 이용될 수 있는 식으로 단순화시키기 위해 선형회귀법이 이용되었으며, 이렇게 유도된 설계방정식은 수학적 정해의 하한계 값에 부합하는 결과를 가져왔다.

Stress Intensity Factors and Kink Angle of a Crack Interacting with a Circular Inclusion Under Remote Mechanical and Thermal Loadings

  • Lee, Saebom;Park, Seung-Tae;Earmme, Youn-Young;Chung, Dae-Youl
    • Journal of Mechanical Science and Technology
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    • 제17권8호
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    • pp.1120-1132
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    • 2003
  • A problem of a circular elastic inhomogeneity interacting with a crack under uniform loadings (mechanical tension and heat flux at infinity) is solved. The singular. integral equations for edge and temperature dislocation distribution functions are constructed and solved numeric-ally, to obtain the stress intensity factors. The effects of the material property ratio on the stress intensity factor (SIF) are investigated. The computed SIFs are used to predict the kink angle of the crack when the crack grows.

Elastic-plastic fracture of functionally graded circular shafts in torsion

  • Rizov, Victor I.
    • Advances in materials Research
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    • 제5권4호
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    • pp.299-318
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    • 2016
  • Analytical investigations were performed of a longitudinal crack representing a cylindrical surface in circular shafts loaded in torsion with taking into account the non-linear material behavior. Both functionally graded and multilayered shafts were analyzed. It was assumed that the material is functionally graded in radial direction. The mechanical behavior of shafts was modeled by using non-linear constitutive relations between the shear stresses and shear strains. The fracture was studied in terms of the strain energy release rate. Within the framework of small strain approach, the strain energy release rate was derived in a function of the torsion moments in the cross-sections ahead and behind the crack front. The analytical approach developed was applied to study the fracture in a clamped circular shaft. In order to verify the solution derived, the strain energy release rate was determined also by considering the shaft complimentary strain energy. The effects were evaluated of material properties, crack location and material non-linearity on the fracture behavior. The results obtained can be applied for optimization of the shafts structure with respect to the fracture performance. It was shown that the approach developed in the present paper is very useful for studying the longitudinal fracture in circular shafts in torsion with considering the material non-linearity.

가균열 모델을 이용한 섬유강화 금속적층재의 층간분리 평가법 (Evaluation of Delamination for Fiber Reinforced Metal Laminates Using a Pseudo Crack Model)

  • 송삼홍;김철웅
    • 대한기계학회논문집A
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    • 제28권2호
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    • pp.174-180
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    • 2004
  • If Fiber Reinforced Metal Laminates(FRMLs) were delaminated, the decrease of stiffness and fiber bridging effect would result in the sudden aggravation of fatigue characteristics. It was reported that the delamination of FRMLs resulted from the crack of metal layers and that it depended on the crack growth. While cracks were made in FRMLs containing a saw-cuts under fatigue loading, cracks could be produced or not in FRMLs with circular holes under the same condition. When the FRMLs with the circular holes produce not the crack but the delamination, it is not possible to analyze it by the conventional fracture parameters expressed as the function of the crack. And so, this research suggests a new analytical model of the delamination to make the comparison of the delamination behavior possible whenever the cracks occur or not. Therefore, a new analytical model called Pseudo Crack Model(PCM) was suggested to compare the delaminations whether cracks were made or not. The relationship between the crack energy consumption rate( $E_{crack}$) and the delamination energy consumption rate( $E_{del}$) was discussed and it was also known that the effect of $E_{del}$ was larger than that of $E_{crack}$.

축 단면 내 대칭 위치의 미소 원공 결함에서 발생한 피로균열 특징 (The Characteristics of Fatigue Cracks Emanating from Micro Hole Defects Located Opposite Position of the Shaft Cross Section)

  • 송삼홍;배준수;안일혁
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.211-216
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    • 2001
  • The components with the circular cross section have the symmetric combination parts for rotating balance and the crack emanates from the symmetric combination parts. The symmetric cracks from symmetric combination parts make a decrease in the component fatigue life more than single crack. In this study, to estimate the behavior of symmetric cracks, the fatigue test was performed using rotary bending tester on the specimen with a symmetric defects in circular cross section. The material used in this study is Ni-Cr-Mo steel alloy. Under the same stress, the result from the rotary bending fatigue test turned out that the symmetric cracks made a decrease in the fatigue life by 35% more than single crack and the relation between log a and cycle ratio $N/N_f$ obtained linearly.

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