• Title/Summary/Keyword: crack extension angle

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The Evaluation of the Fracture Criterion having an Effect on Crack Extension Simulation for a Thin Sheet (박판시험편의 균열성장 시물레이션에 미치는 파괴기준 평가)

  • 권오헌
    • Journal of the Korean Society of Safety
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    • v.15 no.4
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    • pp.15-19
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    • 2000
  • The exact estimation of the ductile crack growth in a thin sheet would be needed in part of the commercial transport aircraft industry fields. A 2-dimensional elastic plastic finite element analysis was carried out to simulate a stable crack extension in a thin sheet 2024 aluminium alloy. Two kinds of crack modeling were used to evaluate curves of the stable crack extension. And then CTOA(crack tip opening angle) and CTED(crack tip energy density) were calculated in order to determine whether they can be used as useful crack extension criterions in a thin sheet. Results indicate that stable crack extension behaviors were simulated well and CTED is more admirable even though CTOA also is reasonable as a criterion for a stable crack extension in a thin 2024 aluminium alloy sheet.

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Mixed Mode Crack Extension in Orthotropic Materials (직방성 복합재료에서 혼합모드 균열의 진전)

  • Kang, Seok-Jin;Cho, Hyung-Seok;Lim, Won-Kyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.35-41
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    • 2005
  • The problem of an orthotropic composite material with a central crack inclined with respect to the principal axes of material symmetry is studied. The material is subjected to uniform biaxial loading along its outer boundaries. The normal stress ratio theory is applied to predict initial crack extension behavior in cracked composite materials. The dependence of the crack extension angle with respect to the biaxial loading and the principal axes of material symmetry is discussed. Our analysis shows significant effects of horizontal loading, crack angle and fiber angle on the crack extension.

Crack Resistance Behavior Using Digital Image Correlation and Crack Tip Opening Angle on Particulate Reinforced Composite (디지털 화상관련법 및 균열선단열림각도를 이용한 입자강화 복합재료의 균열저항거동)

  • Na, Seong Hyeon;Lee, Jeong Won;Kim, Jae Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.12
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    • pp.1021-1026
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    • 2016
  • In this study, crack resistance is evaluated by the crack tip opening angle (CTOA) using a wedge splitting test (WST) on a viscoelastic particulate reinforced composite based on an HTPB binder. Generally, CTOA, as a function of crack extension, is used in order to determinate fracture resistance and has a steady state relative angle. Digital image correlation (DIC) is used to measure the crack tip opening displacement (CTOD) and crack extension for the critical crack tip opening angle (CTOAc). In these results, the CTOAc value of a particulate reinforced composite tends to approach a constant angle after a small amount of crack extension. The CTOAc value increases with decreasing temperature, from $50^{\circ}C$ to $-40^{\circ}C$. These CTOAc values may be used to measure fracture mechanics parameters for particulate reinforced composite.

Analysis of Inclined Crack Extension in Orthotropic Solids Under Biaxial Loading (2축하중을 받는 직교이방성체내 경사균열진전의 해석)

  • Lim, Won-Kyun;Choi, Seung-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.993-1000
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    • 2002
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. In order to develop the capability to fully analyze fracture growth and failure in anisotropic structures, we examined the fundamental problem of mixed mode fracture by carrying out the analysis on orthotropic materials with an inclined crack subject to biaxial loading. Our goal here is to include an additional term in the asymptotic expansion of the crack tip stress field and to show that the direction of crack initiation can be significantly affected by that term. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by horizontal loads and the use of second order term in the series expansion is important f3r the accurate determination of crack growth direction.

Analysis of Orthotropic Materials with Crack (균열을 내포하는 직방성재료의 해석)

  • 임원균
    • Proceedings of the Safety Management and Science Conference
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    • 2001.05a
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    • pp.179-184
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    • 2001
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by the use of second order term in the series expansion is important for the accurate determination of crack growth direction.

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Fracture Analysis Based on the Critical-CTOA Criterion (임계 CTOA조건을 이용한 파괴해석)

  • 구인회
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2223-2233
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    • 1993
  • An engineering method is suggested to calculate the applied load versus crack extension in the elastic-plastic fracture. The condition for an increment of crack extension is set by a critical increment of crack-up opening displacement(CTOD). The ratio of the CTOD increment to the incremental crack extention is a critical crack-tip opening angle(CTOA), assumed to be constant for a material of a given thickness. The Dugdale model of crack-tip deformation in an infinite plate is applied to the method, and a complete solution for crack extension and crack instability is obtained. For finite-size specimens of arbitrary geometry in general yielding, an approximate generalization of the Dugdale model is suggested so that the approximation approaches the small-scale yielding solution in a low applied load and the finite-element solution in a large applied load. Maximum load is calculated so that an applied load attains either a limit load on an unbroken ligament or a peak load during crack extension. The proposed method was applied to three-point bend specimens of a carbon steel SM45C in various sizes. Reasonable agreements are found between calculated maximum loads and experimental failure loads. Therefore, the method can be a viable alternative to the J-R curve approach in the elastic-plastic fracture analysis.

The Mechanics of Crack Formation Induced by Sliding on a Brittle Material (슬라이딩에 의해 취성재료에 발생하는 균열 성장에 관한 연구)

  • Kim, J.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.36-44
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    • 1995
  • When sliding a hard cylinder along the surface of glass, periodic surface cracks appear on the flat surface due to tensile stresses induced by the slider. These cracks propagate into the substrate and will affect the fracture properties of a body. Crack spacings and the directions of crack propagation into glass were calculated numerically by applying the finite element method and linear elastic fracture mechanics. The calculated crack spacings were in the range of the experimental results. Stress intensity factors and crack extension angles depended on the radius of slider and the load, and from these two factors the possible directions of crack propagation were calculated. The calculated propagation directions were in good agreement with real crack propagation.

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A study on the stress analysis for rake face of a tool with crack in cutting process (적삭중인 공구의 경사면상에 crack을 갖는 경우의 응력해석에 관한 연구)

  • 김원익;남준우
    • Journal of the korean Society of Automotive Engineers
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    • v.9 no.3
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    • pp.66-75
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    • 1987
  • The determination of stress distributions on the rake face of tool are important to understand the mechanism of metal cutting. For this reason, many researchers have been payed much effort to analyize machining stress distribution on the rake face. The author's photoelastic experiment has shown that the stress distributions on a rake face can be obtained photoelastically by using a specially designed tool made of epoxy resin plate, and also, Stress Intensity Factors $k_{I}$, $k_{II}$ and Crack Extension Angle can be deter mined by using Linear Elastic Fracture Mechanics.ics..

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The Effect of Fiber Stacking Angle on the Relationship Between Fatigue Crack and Delamination Behavior in a Hybrid Composite Materials (하이브리드 복합재료의 섬유배향각이 피로균열 및 층간분리 거동의 관계에 미치는 영향)

  • Song, Sam-Hong;Kim, Cheol-Woong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.3
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    • pp.281-288
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    • 2004
  • The hybrid composite material (Al/GFRP laminates) are applied to the fuselage and wing in a aircraft. Therefore, Al/GFRP laminates suffer from the cyclic bending moments. This study was to evaluate the effect of fiber stacking angle on the fatigue crack propagation and delamination behavior using the relationship between crack growth rate (da/dN) and stress intensity factor range (ΔK) in Al/GFRP laminates under cyclic bending moment. The variable delamination growth behavior in case of three different type of fiber orientations, i.e., [Al/O$_2$/Al], [Al/+45$_2$/Al] and [Al/90$_2$/Al] at the interface of Al layer and glass fiber layer was measured by ultrasonic C-scan images. As results of this study, It represent that the delamination shape should turns out to have more effective characteristics on the fiber stacking angle. The extension of the delamination zone in case of [Al/+45$_2$/Al] and [Al/90$_2$/Al] were not formed along the fatigue crack profile. The shape of delamination zone depend on fiber stacking angle and the variable type with the delamination contour decreased non-linearly toward the crack tip at the Al layer.

A Study on the Dynamic Characteristics of a Composite Beam with a Transverse Open Crack (크랙이 존재하는 복합재료 보의 동적 특성 연구)

  • 하태완;송오섭
    • Journal of KSNVE
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    • v.9 no.5
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    • pp.1019-1028
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    • 1999
  • Free vibration characteristics of cantilevered laminated composite beams with a transverse non0propagating open carck are investigated. In the present analysis a special ply-angle distribution referred to as asymmetric stiffness configuration inducing the elastic coupling between chord-wise bending and extension is considered. The open crack is modelled as an equivalent rotational spring whose spring constant is calculated on the basis of fracture mechanics of composite material structures. Governing equations of a composite beam with a open crack are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect. the effects of various parameters such as the ply angle, fiber volume fraction, crack depth, crack position and transverse shear on the free vibration characteristics of the beam with a crack is highlighted. The numerical results show that the natural frequencies obtained from Timoshenko beam theory are always lower than those from Euler beam theory. The presence of intrinsic cracks in anisotropic composite beams modifies the flexibility and in turn free vibration characteristics of the structures. It is revealed that non-destructive crack detection is possible by analyzing the free vibration responses of a cracked beam.

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