• Title/Summary/Keyword: Fracture intensity

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Numerical Computation of Dynamic Stress Intensity Factors Based on the Equations of Motion in Convolution Integral (시간적분형 운동방정식을 바탕으로 한 동적 응력확대계수의 계산)

  • Sim, U-Jin;Lee, Seong-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.904-913
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    • 2002
  • In this paper, the dynamic stress intensity factors of fracture mechanics are numerically computed in time domain using the FEM. For which the finite element formulations are derived applying the Galerkin method to the equations of motion in convolution integral as has been presented in the previous paper. To assure the strain fields of r$^{-1}$ 2/ singularity near the crack tip, the triangular quarter-point singular elements are imbedded in the finite element mesh discretized by the isoparametric quadratic quadrilateral elements. Two-dimensional problems of the elastodynamic fracture mechanics under the impact load are solved and compared with the existing numerical and analytical solutions, being shown that numerical results of good accuracy are obtained by the presented method.

Finite Element Analysis of Multiple Subsurface Cracks in Half-space Due to Sliding Contact

  • Lee, Sang Yun;Kim, Seock Sam
    • KSTLE International Journal
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    • v.2 no.1
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    • pp.12-16
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    • 2001
  • A finite element analysis of crack propagation in a half-space due to sliding contact was performed. The sliding contact was simulated by a rigid asperity moving across the surface of an elastic half-surface containing single and multiple cracks. Single, coplanar, and parallel cracks were modeled to investigate the interaction effects on the crack growth in contact fatigue. The analysis was based on linear elastic fracture mechanics and the stress intensity factor concept. The crack propagation direction was predicted based on the maximum range of the shear and tensile stress intensity factors.

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Stress Intensity Factors of a Sheet with an Eccentrically Inclined Crack Subjected to Pure Bending (편심 경사균열 을 가진 판 이 순수굽힘 을 받는 경우의 응력확대계수)

  • 최선호;조상봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.18-23
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    • 1985
  • In the fracture mechanics, the determination of the stress intensity factor value is vital for the prediction of a material fracture behavior. So many data concerning to the S.I.F. have been presented by many investigations to meet endless requrement. In this paper, the stress intensity factors of a sheet with an eccentrically inclined crack subjected to the pure bending moment were investigated theoretically by using of the complex mapping function to determine the Muskelishvili's comlex stress functions. Moreover, the theoretical value was compared with the result obtained from photoelastic esperiment. As a result, it was confirmed that both values coincided with satisfactorily within the margin of 2-3% devition; The results theoretically derived are right.

Development of new fracture parameter for rigid inclusion with crack shape in creep material (크립재료의 균열형상 강체함유물에 대한 새로운 파괴역학 매개변수 개발)

  • Lee, Kang-Yong;Kim, Jong-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2165-2171
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    • 1997
  • The analysis model is the infinite power law creep material containing the rigid inclusion with crack shape. The present analysis is performed using the complex pseudo-stress function method. The strain rate intensity factor is developed as new fracture mechanics parameter which represents the stress and strain rate distribution near a crack tip in power law creep material. The strain rate intensity factor is developed in terms of Kolosoff stress functions.

Design of Welded Joints Using Stress Intensity Factors (응력확대계수를 이용한 용접이음부 설계 연구)

  • Park, Ji-Woo;Gu, Man-Hoi;Choi, Chang;Sung, Wan
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.1058-1062
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    • 1996
  • The assessments of weld defects by fracture mechanics are performed for design of welded Joints. In general, butt, T-type, and L-type welded joint are useful for welding structure. When linear weld defects are in welded joint, stress intensity factors for each joints are calculated by finite element method. Analysis results are shown for the fracture modes and characteristics of joint types. And they are founded for the weaken order of welded joints being T-type, butt, L-type.

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Fracture Mechanics Analysis of a Reactor Pressure Vessel Considering Pressurized Thermal Shock (가압열충격을 고려한 원자로 압력용기의 파괴역학적 해석)

  • 박재학;박상윤
    • Journal of the Korean Society of Safety
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    • v.16 no.4
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    • pp.29-38
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    • 2001
  • The purpose of this paper is to evaluate the structural integrity of a reactor pressure vessel subjected to the pressurized thermal shock(PTS) during the transient events, such as main steam line break(MSLB) and small break loss of coolant accident(SBLOCA). For postulated surface or subsurface cracks, variation curves of stress intensity factor are obtained by using the three different methods, including ASME section XI code anlysis, the finite element alternating method and the finite element method. From the stress intensity factor curves, the maximum allowable nil-ductility transition temperatures(RT/NDT/) are determined by the tangent criterion and the maximum criterion for various crack configurations and two initial transient events. As a result of the analysis, it is noted that axial cracks have smaller maximum allowable RT$_{NDT}$ values than same-sized circumferential cracks for both the transient events in the case of the tangent criterion. Axial cracks have smaller RT$_{NDT}$ values than same-sized circumferential cracks for MSLB and circumferential cracks have smaller values than axial cracks for SBLOCA in the case of the maximum criterion.

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Fatigue Crack Growth Behavior of Short fiber/Particle Hybrid Metal Matrix Composites (단섬유/입자 혼합 금속복합재료의 피로균열진전 거동)

  • Oh K.H.;Jang J. H.;Han K. S.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.04a
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    • pp.219-222
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    • 2004
  • The effects of short fiber and particle hybrid reinforcement on fatigue crack propagation behaviors in aluminum matrix composites have been investigated. Single and hybrid reinforced 6061 aluminum containing same 20 $Al_2O_3\;volume\%$ with four different constituent ratios of short fibers and particles were prepared by squeeze casting method and tested to check the near-threshold and stable crack growth behavior. The fatigue threshold of the composites increased with portion of particle contents and showed the improved crack resistance especially in low stress intensity range. Addition of particle instead of short fiber also increased fracture toughness due to increase of inter-reinforcement distance. These increase in both fatigue threshold and fracture toughness eventually affected the fatigue crack growth behavior such that the crack growth curve shift low to high stress intensity factor value. Overall experimental results were shown that particle reinforcement was enhanced the fatigue crack resistance over the whole stress intensity factor range.

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Numerical analysis of center cracked orthotropic fgm plate: Crack and material axes differ by θ°

  • Kaman, Mete Onur;Cetisli, Fatih
    • Steel and Composite Structures
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    • v.13 no.2
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    • pp.187-206
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    • 2012
  • In this study, fracture analysis of orthotropic FGM (Functionally Graded Material) plate having center crack is performed, numerically. Material axis arbitrarily oriented and there is an angle ${\theta}^{\circ}$ between material and crack axes. Stress intensity factors at the crack tips for Mode I are calculated using Displacement Correlation Method (DCM). In numerical analysis, effects of material properties and variation of angle ${\theta}^{\circ}$ between material and crack axes on the fracture behavior are investigated for four different boundary conditions. Consequently, it is found that the effect of ${\theta}^{\circ}$ on stress intensity factor depends on variation of material properties.

The Effect of Low-Intensity Pulsed Ultrasound on Fracture Healing in the Rabbit Model (토끼모델에서 저강도 맥동초음파가 골절치유에 미치는 영향)

  • Kim, Jong-Man;Yi, Chung-Hwi;Cho, Sang-Hyun;Park, Jung-Mi;Kwon, Hyuk-Cheol;Hwang, Tae-Sun
    • Physical Therapy Korea
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    • v.9 no.1
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    • pp.81-96
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    • 2002
  • The purpose of this research was to determine the effects on the healing of fibular fractures in rabbits of low-intensity pulsed ultrasound (50 $mW/cm^2$ and 500 $mW/cm^2$) applied for periods of 4, 14 and 24 days following fibular osteotomy. Thirty-six male Japanese white rabbits were randomly divided into three groups of twelve for three treatment protocols: (1) ultrasound treatment at intensities of 50 $mW/cm^2$ and 500 $mW/cm^2$ until the 4th day following fibular osteotomy, (2) ultrasound treatment at intensities of 50 $mW/cm^2$ and 500 $mW/cm^2$ until the 14th day following fibular osteotomy, and (3) ultrasound treatment at intensities of 50 $mW/cm^2$ and 500 $mW/cm^2$ until the 24th day following fibular osteotomy. The low-intensity pulsed ultrasound was applied to only one fibula of each rabbit (these served as the experimental group). The other fibula of each rabbit served as the control group. The selection of which fibula was to be treated was made randomly. The animals were sacrificed on the 4th, 14th and 24th day after the start of ultrasound treatments. Percent of trabecular bone area and fibular radiography were carried out to compare the degree of fibular bone healing. A microscope was also used to determine any histologic changes. For statistical differences in radiological changes due to length of treatment period (4, 14 and 24 days respectively), the Wilcoxon signed-ranks test was used to compare the experimental and control groups. For statistical differences in fracture healing due to differences in ultrasound intensity, radiological studies were compared using the Mann-Whitney Test. And, to compute percentage differences in areas of trabecular bone, Two-way analysis of variance (ultrasound intensity x each group) was used. Experiment results were as follows: 1. In animals sacrificed on the 4th day, no difference was found in the radiological studies of the fibulae in the experimental and control groups (p>.05). However, experimental groups showed more rapid bone repair than control group. 2. Both radiographic and percent of trabecular bone area studies showed significant differences in rabbits sacrificed after 14 days. Fracture healing was significantly increased in the experimental group (p<.05) 3. In the animals sacrificed on the 24th day, histologic study showed rapid bone repair but fibular radiologic studies did not show statistical differences between the two groups (p>.05). 4. On the 14th day, bone union on radiograph was significantly more rapid in the treatment group with pulsed ultrasound of 50 $mW/cm^2$ than the group with 500 $mW/cm^2$ (p<.05). Histologic studies showed that both the 14 and 24 days groups had more rapid bone repair in animals treated with 50 $mW/cm^2$ ultrasound intensity than those treated with 500 $mW/cm^2$ intensity. In conclusion, it has been shown that the low-intensity pulsed ultrasound has a positive effect on bone fracture healing in the early stage and the range of pulse ultrasound from 50 $mW/cm^2$ to 500 $mW/cm^2$ is effective for fracture healing. Further study is needed to investigate the influence of pulsed ultrasound on delayed union and non-union in bone fractures and also for the clinical use of low-intensity pulsed ultrasound for bone healing in humans.

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