• 제목/요약/키워드: Crack direction

검색결과 546건 처리시간 0.024초

두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석 (Transient Response of a Crack in a Functionally Graded Piezoelectric Strip between Two Dissimilar Piezoelectric Strip)

  • 신정우;이영신;김성준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 추계학술대회 논문집
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    • pp.206-213
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    • 2013
  • 본 논문에서는 적분변환법을 이용하여 면외전단 충격하중이 작용하는 두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석 을 수행한다. 기능경사압전재료의 물성치는 두께 방향을 따라 연속적으로 변하는 것으로 가정한다. 라플라스 변환과 푸리에 변환을 이용하여 문제를 복합적분방정식으로 구성하고, 수치해석을 위해 복합적 분방정식을 제 2 종 프레드홀름 적분방정식으로 표현한다. 전기적 하중, 재료물성 치의 변화율, 각 접합층의 두께가 균열의 과도응답에 미치는 영향을 보기 위해 동에너지 해방률에 대한 수치해석 결과를 제시한다.

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문경지역에 분포하는 화강암의 미세균열 발달특성 (Characteristics of Microcrack Development in Granite of the Mungyeong area in Korea)

  • 이병대;장보안;윤현수;이한영;진명식
    • 암석학회지
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    • 제8권1호
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    • pp.24-33
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    • 1999
  • 화강암에 대한 미세균열의 특성을 규명하기 위하여 노은리와 궁기리의 2개소 화강암을 대상으로 차분 변형율 분석(Differential Strain Analysis)을 실시하였다. 변형율은 압력을 처음 50MPa 까지는 5MPa씩, 50~100MPa에서는 10MPa씩, 250MPa 까지는 15MPa 씩 압력을 가하였다. 변형율 분석을 위하여 코아 시료의 수직바향과 수평방향에 각각 변형율 게이지를 부착하였다. 수직방향과 수평방향의 누적 균열 변형율은 매우 큰 편차를 보여주고 있어 미세균열의 발달에 이방성을 보임을 알수 있다. 수직방향의 누적 균열 변형율이 가장 큰 값을 보여 수평방향과 평행한 미세균열이 가장 잘 발달 해 있음을 지시하며, 이는 문경지역 화강암류 석제의 "결" 방향(rift plane)과 일치하고 있음을 알 수 있다. 240 MPa의 압력하에서 발생한 균열 변형율은 각각 N-1 : 174$\times$10-6~820$\times$10-6, N-2:190$\times$10-6~460$\times$10-6, G-1 : 329$\times$10-6~836$\times$10-6, G-1 : 833$\times$10-6~1,592$\times$10-6이다. 또한 250MPa의 압력에서 체적 균열 변형율은 궁기리지역 석재가 1,804$\times$10-6~3,936$\times$10-6, 노은리 지역의 석재가 1,125$\times$10-6~1,457$\times$10-6으로서 전자가 후자에 비해 훨씬 많은 미세균열들이 분포하고 있으며 "결" 의 발달상태가 더 양호한 것으로 나타났다. 화강암의 "결"과 미세균열의 방향성을 측정하기 위하여 최대 균열 변형율과 최소 균열 변형율의 비($\varepsilon$max/$\varepsilon$min)를 계산하였다. 그 비는 2.42에서 3.43까지의 높은 값을 가지는데, 이는 연구지역의 조립질 화강암류 석재에 발달되어 있는 미세균열은 대부분이 일정한 방향성을 보이는 입자내 균열임을 시사한다.분이 일정한 방향성을 보이는 입자내 균열임을 시사한다.

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구멍들을 가진 표준 CT 시험편 내에서의 크랙 거동에 대한 해석적 연구 (An Analytical Study on Crack Behavior Inside Standard Compact Tension Specimen with Holes)

  • 이정호;조재웅
    • 대한기계학회논문집A
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    • 제40권6호
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    • pp.531-537
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    • 2016
  • 기계 혹은 구조물의 파손 및 파괴는 소재의 내부에 존재하는 결함에서 발생하는 크랙에 의한 것이다. 이러한 크랙들은 밀집하여 존재하는 경우가 많기 때문에 크랙의 진전 및 성장특성들을 고려하지 않으면 안 된다. 이에 따라 본 연구에서는 표준 CT 시험편 내부의 크랙 및 구멍의 위치에 따른 파괴특성을 고찰하였으며, 표준CT 시험편에 편심된 집중하중을 가하였을 때, 시험편 내 크랙 주변의 구멍의 존재유무 및 위치에 따른 파괴역학적 거동에 대하여 규명하였다. 연구 결과로서 Model 3(크랙 주변에 구멍이 한 개 존재하는 시험편 모델로서 크랙의 끝부분과 구멍 간의 거리 가로방향으로 2mm의 경우)가 최대 변형량, 최대 응력 및 최대 변형 에너지, 모두 가장 크게 나타났으며, 모든 시험편 모델들이 시험편 내부의 크랙과 구멍의 거리가 가까울수록 최대 응력이 커지는 경향을 보였다. 또한 구멍의 개수와는 별개로 시험편 내부의 크랙 가까이에 구멍이 존재할 때 크랙 가까이에서 최대 응력은 커지는 경향이 나타나는 것을 알 수 있었으며, 이러한 본 연구 결과를 토대로 기계 혹은 기계 구조물 내부에 구멍을 뚫는다면, 시험편에 발생하는 파괴 응력의 값을 줄임으로써 파손이나 고장이 일어나는 것을 방지할 수 있을 것으로 사료된다.

철도교량(鐵道橋梁)의 용접부(鎔接部)에서 피로(疲勞)균열의 성장특성(成長特性) (Fatigue Creak Growth Properties of Welded Joint for the Railway Bridge Steel)

  • 장동일;용환선
    • 대한토목학회논문집
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    • 제4권1호
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    • pp.125-136
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    • 1984
  • 용접구조에서 피로파괴는 피로균열의 성장거동에 주로 지배를 받는다. 특히 용접방향과 피로균열 성장방향의 이방성은 용접부 피로파괴의 중요한 영향인자가 된다. 피로이력을 갖고 있는 강재와 피로이력이 없는 강재를 용접시 저 ${\Delta}K$ 영역에서는 모재의 재질적인 영향인자보다 잔류응력의 영향이 크게 작용하였다. 그러나 균열이 용착금속에서 성장을 하는 경우는 용착금속의 인성이 가장 중요한 영향인자가 되는 것으로 밝혀졌다. 특히 용착금속의 인성불균일은 $da/dN-{\Delta}K$ 관계를 넓게 분포시킨다.

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마이크로 R2R 성형에서 주름의 발생 예측과 개선 (Prediction of Wrinkling in Micro R2R Forming and Its Improvement)

  • 민병욱;서원상;김종봉;이혜진;이상훈;김종호
    • 소성∙가공
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    • 제20권1호
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    • pp.42-47
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    • 2011
  • Recently, with the merits of simplicity, ease of mass production and cost effectiveness, a roll-to-roll (R2R) forming process is tried to be employed in the manufacturing of the circuit board, barrier ribs and other electronic device. In this study, the roll-to-roll process for the forming of micro-pattern in electronic device panel is designed and analyzed. In the preliminary experiments, two major defects, i.e., crack near the dimple wall and wrinkling on outside region of dimple, are found. The study on the crack prevention is carried out in previous works by authors. In this study, the cause of wrinkling and modification of tooling to prevent the wrinkling is studied. The main cause of wrinkling is considered to be the uneven material flow along the rolling direction. To reduce or to retard the wrinkling initiation, a dummy shape on outside the pattern is introduced. From the finite element analysis results, it is shown that the dummy shape can reduce the uneven material flow significantly. Finally the effect of dimensions of the dummy shape on material flow is investigated and the optimum dimensions are found.

API 5LB강관의 고주파전기저항용접부에 관한 파괴인성 평가 (Evaluation of Fracture Toughness on High Frequency Electric Resistance Welded API 5LB Steel Pipe)

  • 오세욱;윤한기;안계원
    • 한국해양공학회지
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    • 제1권1호
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    • pp.127-137
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    • 1987
  • The evaluation of the elastic-plastic fracture toughness $J_{1C}$ was performed on the center of weld metal(CWM), the heat affected zone (HAZ) and the base metal (BM) of API 5LB steel pipes welded by the high frequency electric resistance welding. The $J_{1C}$ was evaluated by the JSME R-Curve and JSME SZW methods using the smooth and side-grooved specimens. The results are as follows; (1) The $J_{1C}$ values by the SZW method are overestimated as compared with those by the R-curve method, because the micro-crack is formed as SZW increase with the deformation at SZ after initiation of the ductile crack. (2) The everage of $J_{1C}$ values by the the R-curve and the SZW methods in side-grooved specimens tended to decrease in comparison with smooth specimens 9.42% at CWM, 4.2% at HAZ, 23.2% at BM, respectively. (3) The boundary of the fatigue pre-crack, stretched zone, and dimple regions appeared more clearly in side-grooved specimens, for the slight change of SZW in the direction of the plate thickness, as compared with smooth specimens.

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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.

Bending of a cracked functionally graded nanobeam

  • Akbas, Seref Doguscan
    • Advances in nano research
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    • 제6권3호
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    • pp.219-242
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    • 2018
  • In this study, static bending of an edge cracked cantilever nanobeam composed of functionally graded material (FGM) subjected to transversal point load at the free end of the beam is investigated based on modified couple stress theory. Material properties of the beam change in the height direction according to exponential distributions. The cracked nanobeam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-nanobeams connected through a massless elastic rotational spring. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Euler-Bernoulli beam theory by using finite element method. In order to establish the accuracy of the present formulation and results, the deflections are obtained, and compared with the published results available in the literature. Good agreement is observed. In the numerical study, the static deflections of the edge cracked FGM nanobeams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and different material distributions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked FGM nanobeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

The influence of initial stresses on energy release rate and total electro-mechanical potential energy for penny-shaped interface cracks in PZT/Elastic/PZT sandwich circular plate-disc

  • Akbarov, Surkay D.;Cafarova, Fazile I.;Yahnioglu, Nazmiye
    • Smart Structures and Systems
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    • 제22권3호
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    • pp.259-276
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    • 2018
  • This paper studies the energies and energy release rate (ERR) for the initially rotationally symmetric compressed (or stretched) in the inward (outward) radial direction of the PZT/Elastic/PZT sandwich circular plate with interface penny-shaped cracks. The investigations are made by utilizing the so-called three-dimensional linearized field equations and relations of electro-elasticity for piezoelectric materials. The quantities related to the initial stress state are determined within the scope of the classical linear theory of piezoelectricity. Mathematical formulation of the corresponding problem and determination of the quantities related to the stress-strain state which appear as a result of the action of the uniformly normal additional opening forces acting on the penny-shaped crack's edges are made within the scope of the aforementioned three-dimensional linearized field equations solution which is obtained with the use of the FEM modelling. Numerical results of the energies and ERR and the influence of the problem parameters on these quantities are presented and discussed for the PZT- 5H/Al/PZT-5H, PZT-4/Al/PZT-4, $BaTiO_3/Al/BaTiO_3$ and PZT-5H/StPZT-5H sandwich plates. In particular, it is established that the magnitude of the influence of the piezoelectricity and initial loading on the ERR increases with crack radius length.

전자전단 간섭법을 이용한 플랜지 용접부 내부 결함 측정에 관한 연구 (A Study on the Measurement of the Internal Crack in Flange Welding Zone by Digital Shearography)

  • 김정필;강영준;박상규
    • 한국정밀공학회지
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    • 제26권1호
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    • pp.97-104
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    • 2009
  • There is a many kinds with nondestructive testing such as RT and UT representatively. Referred before two testing methods there is a limit which is spatial such as nuclear pipe, small vessel, sealing up vessel. So a new technique needs to overcome the limit which is spatial. shearography will be able to overcome the limit which is spatial. This paper introducing shearography which was known as non-contact full-field testing method and It is an interferometric technique for measurement of surface deformation such as displacement or displacement gradient. Also, a research about internal defect of the flange welding zone was accomplished. About variation with method pressurized with the Gaseous Nitrogen. Phase map where is various were measured according to changing a sheared direction, size of crack and loaded pressure. Consequently, crack quantitatively to be detected qualitatively was measured by using shearography.