• Title/Summary/Keyword: Complex Pseudo-Stress Function

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Stress analysis of creep material containing elliptical rigid inclusion by complex pseudo-stress function (복소 유사응력함수에 의한 타원 강체함유물을 내포하는 크립재료의 응력해석)

  • Lee, Kang-Yong;Kim, Jong-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.2
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    • pp.408-415
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    • 1998
  • The analysis model is the power law creep material containing an elliptical rigid inclusion subjected to the arbitrarily directional stress on infinite boudary. The stress analysis is performed using the conformal mapping function and complex pseudo-stress function. The stress distributions near an elliptical rigid inclusion are obtained with various ellipse shapes, strain hardening exponents and directions of applied stress.

복소 유사 응력 함수에 의한 타원 강체 함유물을 내포하는 글잎 재료의 응력 해석

  • 김종성;이강용
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.740-743
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    • 1995
  • The analysis model is the power law creep material containing an elliptical rigid inclusion subjected to the arbitrarily directional stress on infinite boundary. The stress analysis is performed using the conformal mapping function and complex pseudo-stress function. The stress distributions near an elliptical rigid inclusion are obtained with various ellipse shapes, strain hardening exponents and directions of applied stress.

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Crack Analysis of Creep Material Containing Rigid Inclusion with Line Crack Shape (직선 균열 강체 함유물을 내포하는 크?재료의 균열 해석)

  • 이강용;김종성
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.7
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    • pp.91-97
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    • 1998
  • The analysis model is the infinite body consisted of power law creep material containing a rigid inclusion with line crack shape subjected to the arbitrarily directional stress on an infinite boundary. The crack analysis is performed using the complex pseudo-stress function. The strain rate intensity factor is determined in the closed form as new fracture mechanics parmeter which represents the magnitudes of stress and strain rate near the tip in power law creep material.

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A Study on Energy Release Rate for Interface Cracks in Pseudo-isotropic Dissimilar Materials (유사등방성 이종재 접합계면 균열의 에너지 해방률에 관한 연구)

  • 이원욱;김진광;조상봉
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.7
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    • pp.193-200
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    • 2003
  • The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was obtained by the eigenfunction expansion method using the two-term William's type complex stress function. The complex stress function for pseudo-isotropic materials must be different from that for anisotropic materials. The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was analyzed numerically by RWCIM. The results obtained were verified by comparing the other worker's results and discussed.

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.

A Study on Stress Singularities for V-notched Cracks in Pseudo-isotropic and Anisotropic Dissimilar Materials (유사등방성과 이방성 이종재료 내의 V-노치 균열에 대한 응력특이성에 관한 연구)

  • Cho, Sang-Bong;Kim, Jin-Kwang
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.10
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    • pp.152-163
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    • 1999
  • The problem of eigenvalue and eigenvector for v-notched cracks in pseudo-isotropic and anisotropic dissimilar materials was obtained to discuss stress singularities from traction free boundary and perfect bonded interface conditions assuming like the form of complex stress function for v-notched cracks in an isotropic material. Eigenvalues were solved by a commercial numerical program, MATHEMATICA. The relation between wedged angle and material property for eigenvalue, ${\lambda}$ indicating stress singularities of v-notched cracks in pseudo-isotropic and anisotropic dissimilar materials was examined.

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An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials

  • Kim, Jin-kwang;Cho, Sang-Bong
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.2
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    • pp.33-44
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    • 2002
  • The problem of eigenvalues and eigenvectors is obtained from a v-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded conditions at interface. The complex stress function of the two-term William's type is used. The eigenvalues are solved by a commercial numerical program, MATHEMATICA. Stress singularities for v-notched cracks in pseudo-isotropic dissimilar materials are discussed. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of eigenvector coefficients associated with eigenvalues with egenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials (유사등방성 이종재료 내의 V-노치 균열에 대한 고유치와 고유벡터 해석)

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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    • pp.129-139
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    • 2000
  • The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

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