• Title/Summary/Keyword: Alternating Stress

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Elastic-plastic Analysis of a 3-Dimensional Inner Crack Using Finite Element Alternating Method (유한요소 교호법을 이용한 삼차원 내부 균열의 탄소성 해석)

  • Park, Jai-Hak;Park, Sang-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.10
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    • pp.1009-1016
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    • 2007
  • Finite element alternating method has been suggested and used effectively to obtain the fracture parameters in assessing the integrity of cracked structures. The method obtains the solution from alternating independently between the FEM solution for an uncracked body and the crack solution in an infinite body. In the paper, the finite element alternating method is extended in order to obtain the elastic-plastic stress fields of a three dimensional inner crack. The three dimensional crack solutions for an infinite body were obtained using symmetric Galerkin boundary element method. As an example of a three dimensional inner crack, a penny-shaped crack in a finite body was analyzed and the obtained elastc-plastic stress fields were compared with the solution obtained from the finite element analysis with fine mesh. It is noted that in the region ahead of the crack front the stress values from FEAM are close to the values from FEM. But large discrepancy between two values is observed near the crack surfaces.

Analysis of Elastic-Plastic J Integrals for 3-Dimensional Cracks Using Finite Element Alternating Method (유한요소 교호법을 이용한 삼차원 균열의 탄소성 J 적분 해석)

  • Park, Jai-Hak
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.2
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    • pp.145-152
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    • 2009
  • SGBEM(Symmetric Galerkin Boundary Element Method)-FEM alternating method has been proposed by Nikishkov, Park and Atluri. In the proposed method, arbitrarily shaped three-dimensional crack problems can be solved by alternating between the crack solution in an infinite body and the finite element solution without a crack. In the previous study, the SGBEM-FEM alternating method was extended further in order to solve elastic-plastic crack problems and to obtain elastic-plastic stress fields. For the elastic-plastic analysis the algorithm developed by Nikishkov et al. is used after modification. In the algorithm, the initial stress method is used to obtain elastic-plastic stress and strain fields. In this paper, elastic-plastic J integrals for three-dimensional cracks are obtained using the method. For that purpose, accurate values of displacement gradients and stresses are necessary on an integration path. In order to improve the accuracy of stress near crack surfaces, coordinate transformation and partitioning of integration domain are used. The coordinate transformation produces a transformation Jacobian, which cancels the singularity of the integrand. Using the developed program, simple three-dimensional crack problems are solved and elastic and elastic-plastic J integrals are obtained. The obtained J integrals are compared with the values obtained using a handbook solution. It is noted that J integrals obtained from the alternating method are close to the values from the handbook.

Examination and Improvement of Accuracy of Three-Dimensional Elastic Crack Solutions Obtained Using Finite Element Alternating Method (유한요소 교호법으로 구한 삼차원 균열 탄성해의 정확성 향상 및 검토)

  • Park, Jai-Hak;Nikishkov, G.P.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.5
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    • pp.629-635
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    • 2010
  • An SGBEM (symmetric Galerkin boundary element method)-FEM alternating method has been proposed by Nikishkov, Park and Atluri. This method can be used to obtain mixed-mode stress intensity factors for planar and nonplanar three-dimensional cracks having an arbitrary shape. For field applications, however, it is necessary to verify the accuracy and consistency of this method. Therefore, in this study, we investigate the effects of several factors on the accuracy of the stress intensity factors obtained using the abovementioned alternating method. The obtained stress intensity factors are compared with the known values provided in handbooks, especially in the case of internal and external circumferential semi-elliptical surface cracks. The results show that the SGBEM-FEM alternating method yields accurate stress intensity factors for three-dimensional cracks, including internal and external circumferential surface cracks and that the method can be used as a robust crack analysis tool for solving field problems.

Fatigue Crack Growth Simulation of Arbitrarily Shaped Three Dimensional Cracks Using Finite Element Alternating Method (유한요소 교호법을 이용한 임의 형상의 삼차원 균열의 피로균열 성장 해석)

  • Park, Jai-Hak;Kim, Tae-Soon
    • Journal of the Korean Society of Safety
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    • v.21 no.1 s.73
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    • pp.15-20
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    • 2006
  • The finite element alternating method is a convenient and efficient method to analyze three-dimensional cracks embedded in an infinite or a finite body because the method has the property that the uncracked body and cracks can be modeled independently. In this paper the method was applied for fatigue crack growth simulation. A surface crack in a cylinder was considered as an initial crack and the crack configurations and stress intensity factors during the crack growth were obtained. In this paper the finite element alternating method proposed by Nikishkov, Park and Atluri was used after modification. In the method, as the required solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear was used. And a crack was modeled as distribution of displacement discontinuities, and the governing equation was formulated as singularity-reduced integral equations.

Analysis of an Isotropic Infinite Plate with Many Collinear Multiple Cracks by the Alternating Method (다수의 직선 다중균열이 존재하는 등방성 무한판의 교호법을 이용한 해석)

  • Park, Jai-Hak
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3838-3846
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    • 1996
  • A method is proposed to obtain the stress intensity factors of multiple cracks lying on many straight llnes in an infinite isotropic plate. In this mehtod, analytical solutions for collinear multiple cracks subject to surface point forces are obrained and used as Green functions. For the multiple cracks lying onmany straight lines, the equivalent crack surface tractions are obtained by using the alternating method and the stress intensity factors are calculated. By using the proposed method several useful problems are solved and discussed.

Characteristics of surface fatigue crack in carbon steel, used for machinery structure, under threshold conditions (기계구조용 탄소강의 표면피로균열의 하한계 특성)

  • Lee, Jong-Hyung;Song, Deuk-Jung;Lee, Sang-Young;An, Se-Won
    • Journal of the Korean Society of Industry Convergence
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    • v.7 no.4
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    • pp.407-410
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    • 2004
  • There have been numberous structure-related accidents including structural destruction from past to the present. This experiment used a beachmark technique that does not exceed the maximum stress and reduce the range of amplitude(or alternating stress).Difference in stress on the actual section affects the progress of crack.

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Fatigue Strength Evaluation of the Aluminum Car body of Urban Transit Unit by Large Scale Dynamic Load Test (도시철도차량 알루미늄 차체의 동적 하중 시험에 의한 피로 강도 평가)

  • Seo, Sung-Il;Park, Choon-Soo;Shin, Byung-Cheon
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1051-1055
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    • 2003
  • Aluminum carbody for rolling stocks is light and perfectly recycled, but includes severe defects which are very dangerous to fatigue strength. Structural integrity assessment for the carbody by static load test has been performed up to date. In this study, to evaluate fatigue strength of the aluminum carbody of urban transit unit. a testing method to simulate dynamic loading condition was proposed and the fatigue strength of the carbody was evaluated. The dynamic load test results showed that the alternating stress ranges were different from the estimated ranges based on the static test results. Excessive stress ranges at the center are thought to come from the flexible motion of the carbody. published fatigue test data for aluminum components, but variation of alternating acceleration along the length due to flexibility of carbody yielded unexpected results. Because fatigue strength based on the static test results may be overestimated at the center, modification of testing method is necessary.

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Experimental and numerical analysis of fatigue behaviour for tubular K-joints

  • Shao, Yong-Bo;Cao, Zhen-Bin
    • Structural Engineering and Mechanics
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    • v.19 no.6
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    • pp.639-652
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    • 2005
  • In this paper, a full-scale K-joint specimen was tested to failure under cyclic combined axial and in-plane bending loads. In the fatigue test, the crack developments were monitored step by step using the alternating current potential drop (ACPD) technique. Using Paris' law, stress intensity factor, which is a fracture parameter to be frequently used by many designers to predict the integrity and residual life of tubular joints, can be obtained from experimental test results of the crack growth rate. Furthermore, a scheme of automatic mesh generation for a cracked K-joint is introduced, and numerical analysis of stress intensity factor for the K-joint specimen has then been carried out. In the finite element analysis, J-integral method is used to estimate the stress intensity factors along the crack front. The numerical stress intensity factor results have been validated through comparing them with the experimental results. The comparison shows that the proposed numerical model can produce reasonably accurate stress intensity factor values. The effects of different crack shapes on the stress intensity factors have also been investigated, and it has been found that semi-ellipse is suitable and accurate to be adopted in numerical analysis for the stress intensity factor. Therefore, the proposed model in this paper is reliable to be used for estimating the stress intensity factor values of cracked tubular K-joints for design purposes.

Effects of Night Alternating Temperature on Growth and Cold Stress at Nursing Stage in Tomato (토마토 육묘 시 변온이 생육과 저온 스트레스에 미치는 영향)

  • Kim, D.E.;Lee, W.Y.;Bae, K.S.;Shin, Y.A.;Kang, J.K.;Woo, Y.H.;Kang, D.H.
    • Journal of Practical Agriculture & Fisheries Research
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    • v.20 no.2
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    • pp.39-47
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    • 2018
  • This study was carried out to investigate the applicability of alternating temperature control during night time in a nursery seedling production. Three groups of samples were exposed to three different environmental conditions for 6 days from 18:00 to 09:00; one was constantly 15 ℃, another was alternating between 15 ℃ for 2 hours and 11 ℃ for 2 hours, and the other was alternating between 15 ℃ for 2 hours and 11 ℃ for 4 hours. Leaf temperature and stem temperature was measured in real time. The influence of cold stress was analyzed by flavonoid content and growth of tomato seedling. The temperature of leaves and stem became equal to the ambient temperature over time, furthermore, there was no significant difference among the treatments. In conclusion, it is considered that heating costs can be saved considerably, as the alternating temperature has fewer effects on cold stress reaction by tomato seedling growth.

Analysis of the Fatigue Crack Growth in Pipe Using Finite Element Alternating Method (배관 피로균열 성장 해석을 위한 유한요소 교호법의 적용)

  • Kim, Tae-Soon;Park, Sang-Yun;Park, Jai-Hak;Park, Chi-Yong
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.124-129
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    • 2004
  • Finite element alternating method have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrarily shaped three dimensional cracks, the finite element alternating method is extended. The cracks are modeled as a distribution of displacement discontinuities by the displacement discontinuity method and the symmetric Galerkin boundary element method. Applied the proposed method to three dimensional crack included in the elbow, the efficiency and applicability of the method were demonstrated.

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