• Title/Summary/Keyword: Plane Tip

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Crack-tip constraint analysis of two collinear cracks under creep condition

  • Jiao, Guang-Chen;Wang, Wei-Zhe;Jiang, Pu-Ning
    • Structural Engineering and Mechanics
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    • v.43 no.3
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    • pp.311-320
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    • 2012
  • The higher-order asymptotic C(t) - $A_2(t)$ approach was employed to investigate the crack-tip stress of two collinear cracks in a power-law creeping material under the plane strain conditions. A comprehensive calculation was made of the single crack, collinear crack model with S/a = 0.4 and 0.8, by using the C(t) - $A_2(t)$ approach, HRR-type field and the finite element analysis; the latter two methods were used to check the constraint significance and the calculation accuracy of the C(t) - $A_2(t)$ approach, respectively. With increasing the creep time, the constraint $A_2$ was exponentially increased in the small-scale creep stage, while no discernible dependency of the constraint $A_2$ on the creep time was found at the extensive creep state. In addition, the creep time and the mechanical loads have no distinct influence on accuracy of the results obtained from the higher-order asymptotic C(t) - $A_2(t)$ approach. In comparison with the HRR-type field, the higher-order asymptotic C(t) - $A_2(t)$ solution matches well with the finite element results for the collinear crack model.

Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Piezoelectric Materials (직교이방성 압전재료에서 전파 하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.6
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    • pp.701-708
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    • 2010
  • The stress and displacement fields of a permeable propagating crack in orthotropic piezoelectric materials under anti-plane shear mechanical load and in-plane electric load are analyzed. The equations of motion for the propagating crack in piezoelectric materials are developed and the solution on the stress and the displacement fields through an asymptotic analysis was obtained. The influences of the piezoelectric constant and of the dielectric permittivity on the stress and displacement fields at the crack tip are explicitly clarified. Using the stress and displacement fields obtained in this study, the characteristics of stress and displacement at a propagating crack tip in piezoelectric materials are discussed.

Prediction of Thickness and Loading Noise from Aircraft Propeller (항공기용 프로펠러에서의 두께 및 하중소음 예측)

  • Ryu, Ki-Wahn
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.39-45
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    • 2005
  • The aim of this research is to predict the thickness and loading noise of the round-tip shaped Hartzell propeller currently used in the general aviation aircraft. Before implementing the noise analysis, the pressure distribution on the propeller was obtained by using the free wake panel method and unsteady Bernoulli's equation. The noise signal at observer position can be obtained by using the FW-H equation. The noise prediction results for the propeller indicates that the thickness noise has s symmetric directivity pattern with respect to the tip path plane, while the noise due to loading shows higher noise directivity toward downstream than the upstream direction from the rotor plane. The loading noise is dominant rather than the thickness noise in normal operating condition.

A Study on Crack Initiation of 2-Phase Composite with Through Notch (貫通노치를 가진 二相接合材의 龜裂發생에 대한 硏究)

  • ;;Shimada, Heihachi
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.636-642
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    • 1989
  • In this paper, 3-dimensional fracture phenomena in the local area near the notch tip between the surface and the center of a composite bar which is consisted of two different materials were investigated by using embedded dyeing grids with the pitch of 50.8.mu. It was confirmed that the maximum strain near the notch tip occurred not at the notch front but at the curvature beginning point of the notch which is in the interior of z/W = 0.3 - 0.35 from the surface and a notch was initiated from that point. And that the strain near the notch front between the center and z/W = 0.65 - 0.7 toward the surface was in a state of compression.

Parallel Crack in Bonded Dissimilar Orthotropic Planes Under Out-of-Plane Loading (면외하중을 받는 상이한 직교 이방성 평면내의 평행균열)

  • 최성렬;권용수;채영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.170-180
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    • 1995
  • A parallel crack in bonded dissimilar orthotropic planes under out-of-plane loading is analyzed. The problem is formulated by Fourier integral transforms, and reduced to a pair of dual integral equations. By solving the integral equations, the asymptotic stress and displacement fields near the crack tip are determined in closed form, from which the stress intensity factor and energy release rate are obtained. Discontinuity in the stress intensity factor as the distance ratio h/a of the parallel crack approaches zero is found, while the energy releas rate is shown to be continuous at h/a = 0. This information can immediately be used to generate the stress intensity factor for the parallel crack near the interface. By employing "the maximum energy release rate criterion", it could be shown in the case of no existing crack initially that the parallel crack is formed far from the interface for the more compliant material, while it is formed close to the interface for the stiffer material. material.

The design of XYZ 3-axis stage for AFM system (AFM 시스템을 위한 XYZ 3축 스테이지의 설계)

  • 김동민;김기현;심종엽;권대갑;엄천일
    • Proceedings of the Korea Crystallographic Association Conference
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    • 2002.11a
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    • pp.36-36
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    • 2002
  • To Establish of standard technique of length measurent in 2D plane, we develope AFM system. The XY scanner scans the sample only in XY plane, while the Z scanner scans the specimen only in Z-direction. Cantilever tip is controlled to has constant height relative to speciman surface by feedback of PSPD signal. To acquire high accuracy, Z-axis measuring sensor will be added.(COXI or others). In this paper we design XYZ stage suitable for this AEM system. For XY stage, single module parallel-kinnematic flexure stage is used which has high orthogonality and minimum out-of-plane motion. To obtain best performance optimal design is performed. For XY stage, to be robust about parasitic motion optimal design of maximizing Z and tilt stiffness is performed under the constraint of motion range and stage size. And for Z stage, optimal design of maximizing 1st resonant frequency is performed. Because if resonant frequency is get higher, scan speed is improved. So it makes reduce the error by sensor drift. Resultly XYZ stage each have 1st natural frequency of 115㎐, 201㎐, 2.66㎑ and range 109㎛, 110㎛, 12㎛.

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Characteristics of Tool Life according to the Cutting Direction and Cutting Speed in Machining on Inclined Plane using Ball End Mill (볼 엔드밀의 경사면 가공에서 공구경로와 절삭속도에 따른 공구수명의 특성)

  • 박윤종;김경균;강명창;김정석;이득우
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.05a
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    • pp.240-244
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    • 1999
  • This paper deals with the establishment of the cutting direction on inclined plane by using ball end mill. Ball-end milling is widely used for free form surface die and mold. In these machining, the cutting parts vary because the tool tip is hemisphere shaped. The cutting characteristics, such as cutting force, surface roughness and surface profile are varied according to the variation of cutting directions. The effective tool diameter was calculated on different tilt angles and tool-path. Tool life and cutting characteristics were estimated on variation of cutting directions in the same cutting speed. In this paper, the optimal cutting direction which can be applied 3-D sculpture surface cutting is suggested.

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Finite Element Analysis of Fatigue Crack Closure under Plane Strain State (평면변형률 상태 하에서 유한요소해석을 이용한 균열닫힘 거동 예측 및 평가)

  • Lee, Hak-Joo;Song, Ji-Ho;Kang, Jae-Youn
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.202-207
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    • 2004
  • An elastic-plastic finite element analysis of fatigue crack closure is performed for plane strain conditions. The stabilization behavior of crack opening level and the effect of mesh size on the crack opening stress are investigated. In order to obtain a stabilized crack opening level for plane strain conditions, the crack must be advanced through approximately four times the initial monotonic plastic zone. The crack opening load tends to increase with the decrease of mesh size. The mesh size nearly equal to the theoretical plane strain cyclic plastic zone size may provide reasonable numerical results comparable with experimental crack opening data. The crack opening behavior is influenced by the crack growth increment and discontinuous opening behavior is observed. A procedure to predict the most appropriate mesh size for different stress ratio is suggested. Crack opening loads predicted by the FE analysis based on the procedure suggested resulted in good agreement with experimental ones within the error of 5 %. Effect of the distance behind the crack tip on the crack opening load determined by the ASTM compliance offset method based on the load-displacement relation and by the rotational offset method based on the load-differential displacement relation is investigated. Optimal gage location and method to determine the crack opening load is suggested.

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Fracture toughnesses of thin sheet materials by using CT specimens (CT 시편을 이용한 박판재료의 파괴인성 특성)

  • Lee, Eok-Seop;Lee, Yun-Pyo;Gang, In-Mo;Kim, Seon-Yong;Kim, Seung-Gwon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2090-2095
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    • 1997
  • The plane stress fracture toughness for thin aluminum alloy(2024-T3 and 7075-T6) specimens are characterized by using compact-tension (CT) specimens. Anti-buckling plates were fabricated on both sides of the thin CT specimens to prevent the buckling phenomena which caused by the 45.deg. C plastic yielding at the crack tip under the plane stress condition. The plane stress fracture toughnesses determined by three different procedures are compared with each others. The plane stress fracture toughnesses are also compared with a few published values which were determined by using center-cracked panel specimens.

A Study on the Determination of Stress Intensity Factors in Orthotropic Plane Elastic Bodies (직교이방성 평면탄성체의 응력확대계수 결정에 관한 연구)

  • Jin, Chi Sub;Lee, Hong Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.19-27
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    • 1993
  • Recent work in the mechanics of fracture points out the desirability of a knowledge of the elastic energy release rate, the crack extension force, and the character of the stress field surrounding a crack tip in analyzing the strength of cracked bodies. The objective of this work is to provide a discussion of the energy rates, stress fields and the like of various cases for anisotropic elastic bodies which might be of interest. Reinforced concrete, wood, laminates, and some special types of elastic bodies with controlled grain orientation are often orthotropic. In this paper, determination of the stress intensity factors(SIFs) of orthotropic plane elastic body using crack tip singular element and fine mesh in near the crack tip is performed. A numerical method in this paper was used by displacement correlation method. A numerical example problem of an orthotropic cantilevered single edge cracked elastic body subjected to shear loading was analyzed, and the results of this paper are in good agreement with those of the others.

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