• Title/Summary/Keyword: Crack path

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Shape Design Optimization of Crack Propagation Problems Using Meshfree Methods (무요소법을 이용한 균열진전 문제의 형상 최적설계)

  • Kim, Jae-Hyun;Ha, Seung-Hyun;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.337-343
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    • 2014
  • This paper presents a continuum-based shape design sensitivity analysis(DSA) method for crack propagation problems using a reproducing kernel method(RKM), which facilitates the remeshing problem required for finite element analysis(FEA) and provides the higher order shape functions by increasing the continuity of the kernel functions. A linear elasticity is considered to obtain the required stress field around the crack tip for the evaluation of J-integral. The sensitivity of displacement field and stress intensity factor(SIF) with respect to shape design variables are derived using a material derivative approach. For efficient computation of design sensitivity, an adjoint variable method is employed tather than the direct differentiation method. Through numerical examples, The mesh-free and the DSA methods show excellent agreement with finite difference results. The DSA results are further extended to a shape optimization of crack propagation problems to control the propagation path.

Dislocation analyses of semi-brittle fracture I

  • Chung, Soon-Kil;Lee, Byung-Ho
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.2
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    • pp.101-109
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    • 1981
  • 균일 인장하중하에 있는 고체 내부에 고립된 제 1형 탄소성 크랙의 반취성 파괴를 경사슬립밴드모델(inclined slip band model)로서 연속크랙전위(conticuum crack dislocation) 및 연속격자 전위(continum lattice dislocation)을 이용하여 이론적으로 연구하였다. 크랙전위 및 격자전위에 관한 힘평형을 나타애는 연립특이적분방정식의 해는크랙전위 및 격자전위에 관한 적정밀도함수를 가지고 특이함을 해소하는 조건을 부가하여 얻는다. 이특이항 해소조건의 타당성은 처음으로 소성영역의 크기를 그 판단기준으로 검토되었으며, 그결과 합당한 것으로 확인되었다. 또한 상기방법으로부터 산출된 COD는 소규모 성역을 넘어서도 선형적으로 .KAPPA.$^{2}$.EPSILON..sigma.$_{Y}$ 에 따라 변화함을 알게 된다. 상기모델에서 위축적분경로(Shrunk path) 상의 J 적분치를 J=.delta..sigma.$_{Y/}$sin2.theta.의 형태로 유도하였는데, 이것은 J 적분에 관한 Eshelby의 힘개념을 구체적으로 표현한다: J는 크랙전파방향으로 탄소성크랙정점에 작용하는 가상적인 힘이며, 1/2 J의 한 슬립편면상에서의 분력은 그 슬립정면사으이 보든 격자전위에 작용하는 전단력의 총화와 같다. 같다.

Modification of C/C Composite Bipolar Plate by Addition of Electro-Conductive Carbon Black

  • Ryu, Seung-Kon;Hwang, Taek-Sung;Lee, Seung-Goo;Lee, Sun-A;Kim, Chang-Soo
    • Carbon letters
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    • v.2 no.3_4
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    • pp.165-169
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    • 2001
  • Modification of C/C composite bipolar plate for improving electrical conductivity was carried out by addition of electroconductive carbon black (EC-CB). Carbon black was carefully mixed to methanol-containing phenolic resin, impregnated into 2D-carbon fabrics, hot pressed and then carbonized to obtain composite plate. Inclusion of electro-conductive carbon black enhanced the electrical conductivity of the C/C composites by increasing the conduction path. Addition of 10 vol% carbon black increased the electrical conductivity from 5.5/${\Omega}cm$ to 32/${\Omega}cm$ and reduced the crack formation by filling effect, resulting in the increase of flexural properties of composite plate. However, at carbon black content over 10 vol%, flexural properties decreased by delaminating role of excess carbon black at the interface in C/C composites.

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Calculation of Stress Intensity Factor in 2-D Using $J_k$-Integral for a Rectilinear Elastic Anisotropic Body (2차원 선형 탄성 이방성 재료에서 $J_k$-적분을 이용한 응력확대계수 계산)

  • An, Deuk-Man;Choi, Chang-Yeon
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.7
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    • pp.134-142
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    • 2001
  • The integrals $J_k$(k=1,2) in the rectilinear anisotropis body in 2-D were determined using Lekhnitskii formalism. The relationship between $J_k$ and stress intensity factors are implified by the important equation between elastic compliance. The numerical evaluation of stress intensity factor for the single edge crack in mixed mode is determined by superposing known exact solutions.

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Fracture Analysis of Welded Plates using the J-integral (J-적분을 이용한 용접구조물의 파괴해석)

  • 심용래
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.173-179
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    • 1996
  • Study of weldment fracture behavior includes thermal analysis, residual stress analysis, and fracture analysis. The J-integral loses its path-independency in a residual stress field. Therefore, it is necessary to develop a program to calculate the J-integral in a welded plate. In this study, theoretical formulation and program were developed for the evaluation of the J-integral at the crack tip of weldments. To verify equations and program, welded thin plate and thick plate were used to calculate residual stress and the J-integral.

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Fracture of rock affected by chemical erosion environment

  • Gao, W.;Ge, M.M.
    • Geomechanics and Engineering
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    • v.11 no.3
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    • pp.373-383
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    • 2016
  • As one natural material, the physical and mechanical properties of rock will be affected very largely by chemical erosion environment. Under chemical environment, the strength of rock will be reduced. Considering the effect of the chemical erosion, fracture factor of rock is reduced. The damage variable is applied to express the change of fracture stress. Therefore, the fracture criterion of rock under chemical environment is constructed. By one experiment of rock fracture under chemical erosion environment, the proposed fracture criterion is verified. The results show that, the fracture path by theory is agree with the testing one well.

Evaluation of Low Cycle Fatigue Damage of Gas Turbine Blades Used for a Long Time (장시간 사용된 가스터빈 블레이드의 저주기피로 손상도 평가)

  • Heo, In Kang;Kim, Jae Hoon
    • Journal of the Korean Society of Safety
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    • v.33 no.3
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    • pp.8-14
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    • 2018
  • Ni-base superalloy has excellent resistance to extreme environments such as high temperatures and high stresses and are used as materials for large gas turbines. In this paper, the specimens were taken from the blade that were used for a long time, and their life span was studied by microstructure analysis and avoidance of cursing. The microstructural analysis of the specimens was carried out using a OM and SEM to observe the coarsening, carbides on gamma prime. Low-cycle fatigue tests were performed on new material and airfoil of long time-used blade. The test was conducted under various deformation conditions and temperature conditions of $760^{\circ}C$ and $870^{\circ}C$. The low cycle fatigue test was carried out using the Coffin-Manson equation and the fatigue life was predicted. After the test, crack path and fracture surface were analyzed using SEM.

Mechanical Properties of Carbon/Carbon Composites Densified by HIP Technique

  • Manocha, L.M.;Warrier, Ashish;Manocha, S.;Banerji, S.;Sathiyamoorthy, D.
    • Carbon letters
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    • v.6 no.1
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    • pp.6-14
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    • 2005
  • The study of mechanical properties and fracture behaviour of carbon/carbon composites is significant to its application and development. These are dependent on microstructure and properties of reinforcing fibers and matrix, fiber/matrix interface and porosity/cracks present in the composites. In the present studies high-density carbon/carbon composites have been prepared using PAN and various pitch based carbon fibers as reinforcements and pitch as matrix with repeated densification cycles using high-pressure impregnation and carbonization technique. Scanning electron microscopy has been used to study the fracture behaviour of the highly dense composites and correlated with structure of the composites. The geometry of reinforcement and presence of unfilled voids/cracks was found to influence the path of crack propagation and thereby the strength of composites. The type of stresses (tensile or compressive) accumulated also plays an important role in fracture of composites.

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The Energy Release Rate for Cracks in a Rotating Continuum (균열을 내재한 회전체의 에너지방출률)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.330-337
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    • 1995
  • For a rotating body with cracks, the new energy release rate equation is presented. The derived equation is different from the other researcher's results. It is a path-independent integral which excluded the derivatives of displacements near the crack tip, thereby improving the numerical accuracy of the energy release rate computation. Moreover, as the equation was derived on basis of the energy principle and non-linear elasticity without assumptions, it can applied to the cracked body with arbitrary shape under elastic-plastic deformation. Several examples are treated to demonstrate the efficiency and accuracy of the proposed method compared to existing methods.

Fatigue Strength of the Load-Carrying Cruciform Fillet Welded Joints Using the Hot-Spot Stress (Hot-Spot 응력을 이용한 하중전달형 십자형 필렛 용접재의 피로강도 평가)

  • Park, Jong-Min;Choi, Won-Sik;Kwon, Soon-Hong;Noh, Byeong-Wook
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.6 no.1
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    • pp.20-26
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    • 2007
  • In this study, fatigue strength of load-carrying cruciform fillet welded joints were evaluated using a new method proposed by Yamada, for geometric or structural stress in welded joint, that is, one-millimeter stress below the surface in the direction corresponding to the expected crack path. Validity of the method is verified by analyzing fatigue test results for load-carrying cruciform welded specimens has different size of weld toe radius, leg length and plate thickness reported in literature. Structural stress concentration factor for 1mm below the surface was calculated by finite element analysis for each specimen respectively. When compared to the basic fatigue resistance curve offered by BS7608, the one-millimeter stress method shows conservative evaluation for load-carrying cruciform fillet welded joints.

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