• 제목/요약/키워드: 등방성 이종재료

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등방성 이종재료 내의 V-노치 균열에 대한 대수 응력특이성에 관한 연구 (A Study on Logarithmic Stress Singularities for V-notched Cracks in Isotropic Dissimilar Materials)

  • 김우진;김진광;조상봉
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.747-750
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    • 1997
  • Using complex potentials and the concept of repeated roots for general solutions, logarithmic stress singularities and coefficient vectors for v-notched cracks in isotropic dissimilar materials are evaluated and demonstrated to have no influence on the logarithmic stress singularities.

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두 상이한 등방성 이종재료 정지계면균열의 선단 응력장과 변위장에 관한 연구 (A Study on the Near-Field Stresses and Displacement of a Stationary Interfacial Crack in Two Dissimilar Isotropic Bimaterials)

  • 신동철;황재석;남정환
    • 대한기계학회논문집A
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    • 제28권12호
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    • pp.1897-1905
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    • 2004
  • In many part of machines or structures that made of bimaterial bonded with two dissimilar materials, most failures occur at their interface. Therefore, the accurate analysis of fracture characteristics and the evaluation of mechanical strength for interfacial crack are essential when we design those structures. In this research, stress and displacement components in the vicinity of stationary interfacial crack tip in the two dissimilar isotropic bimaterials are established. Hereafter, the stress components established in this research can be applied to the photoelastic hybrid method which can be used to analyze the fracture behavior of the two dissimilar isotropic bimaterials.

정적 및 동적 하중을 받는 두 상이한 등방성 이종재료의 이종재료상수에 대한 연구 (A Study on the Bimaterial Constant of Two Dissimillar Isotropic Bimaterial Under Static and Dynamic Load)

  • 신동철;황재석
    • 대한기계학회논문집A
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    • 제28권11호
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    • pp.1776-1785
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    • 2004
  • In this research, the relationships between static bimaterial constant and dynamic oscillation index are studied. It was certified that static bimaterial constant has the same form equation as the dynamic oscillation index. Bimaterial constant and oscillation index are increased with the increment of Young's modulus ratio and approached to the some value. Isochromatic fringe patterns are slanted to the left side with increment of bimaterial constants and oscillation index. Though patterns of stress components in above the crack surface are similar to each other, their magnitudes are different a little. In the ahead of crack tip, there are big differences in the isochromatic fringe patterns and their magnitudes. The influence of bimaterial with Young's modulus ratio is bigger in the propagation crack than in the stationary crack.

이종재료의 진전 계면 균열에 대한 동적 광탄성 실험법 (Dynamic Photoelastic Experimental Method for Propagating Interfacial Crack of Bimaterials)

  • 신동철;황재석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.292-297
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    • 2000
  • In this research, the dynamic photoelastic experimental hybrid method for bimaterial is introduced. Dynamic biaxial loading device is developed, its strain rate is 31.637 s-1 and its maximum impact load is 20 ton. Manufactured methods for model of the dynamic photoelastic experiment for bimaterial are suggested. They are bonding method(bonding material: AW106, PC-1) and molding method. In the bonding method, residual stress is not occurred in the manufactured bimaterial. Crack is propagated along the interface or sometimes deviated from the interface. While in the molding method, residual stress is occurred in the manufactured bimaterial. Crack is always deviated from the interface and propagated in the epoxy region(softer materila). In order to propagate with constant velocity along the interface of bimaterial with arbitrary stiffer material, edge crack should be located along the interface of the acute angle side of the softer material in the bimaterial.

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

  • 김진광;조상봉
    • 한국정밀공학회지
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    • 제17권11호
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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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등방성/직교이방성 이종재료의 진전 계면균열에 대한 동적 광탄성 실험 하이브리드 법 개발 (Development of the Dynamic Photoelastic Hybrid Method for Propagating Interfacial Crack of Isotropic/Orthotropic Bi-materials)

  • 황재석;신동철;김태규
    • 대한기계학회논문집A
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    • 제25권7호
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    • pp.1055-1063
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    • 2001
  • When the interfacial crack of isotropic/orthotropic bi-materials is propagated with constant velocity along the interface, stress and displacement components are derived in this research. The dynamic photoelastic experimental hybrid method for the bimaterial is introduced. It is assured that stress components and dynamic photoelastic hybrid developed in this research are valid. Separating method of stress components is introduced from only dynamic photoelastic fringe patterns. Crack propagating velocity of interfacial crack is 69∼71% of Rayleigh wave velocity of epoxy resin. The near-field stress components of bonded interface of bimaterial are similar with those of pure isotopic material and two dissimilar isotropic bimaterials under static or dynamic loading, but very near-field stress components of bonded interface of bimaterial are different from those.

정적 광탄성 실험 하이브리드 법에 의한 두 상이한 등방성 이종재료의 계면균열전파 기준에 관한 연구 (A Study on the Interfacial Crack Propagation Criterion for Two Dissimilar Isotropic Bimaterial by the Static Photoelastic Experimental Hybrid Method)

  • 최콘스탄틴;황재석;신동철;남성수;남정환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1216-1221
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    • 2003
  • The specimen materials used in this research is bimaterial. The static photoelastic experiment was applied to them. And then the specimens used in photoelastic experiment were fractured under static load. The static photoelastic hybrid method was introduced and it's validity had been assured. The static photoelastic hybrid method was applied to the Minimum Strain Energy Density Criterion, the Maximum Tangential Stress Criterion and Mode Mixity. Crack propagation criterion by the static photoelastic hybrid method was introduced and it was applied to the above various failure theories. Comparing the experimental initial angle of crack propagation with the theoretical initial angle of crack propagation from the various failure criterions. And then the optimal crack propagation criterion was suggested and it's validity was assured.

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열하중을 받는 이종재 V-노치 균열의 응력강도계수 해석

  • 문창호;조상봉;김진광;노홍래
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 추계학술대회 논문요약집
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    • pp.240-240
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    • 2003
  • V-노치 균열에서 열하중이 작용하는 경우는 비제차형 경계조건의 문제가 되고, 이 조건에 대한 방정식의 일반해를 구하기 위해서 재차형 연립방정식에 대한 일반해(Homogeneous solution)와 비제차형 연립방정식에 대한 특수해(Particular solution)의 두 가지 해를 구할 수 있다. 이들 해는 V-노치 균열에 대한 고유치가 되고 이 고유치가 중복근을 가지게 되는 경우에는 로그항(1n[r])이 나타나게 되고 이 항에 의해서 응력을 무한대로 발산시키므로 이를 대수응력특이성이라 한다. 열하중이 작용할 때 대수응력특이성을 나타내는 로그항의 계수가 영(0)이 되어 대수응력특이성이 사라지게 되므로 V-노치 선단에서의 응력특이성은 고유치와 그에 대한 고유벡터에 의해 결정된다. 본 논문에서는 비정상상태 열하중이 가해지는 등방성 이종재료 내의 V-노치 균열문제에서 패기 각도와 이종재료의 기계적 성질에 의해 결정되는 응력특이성지수를 구하고 이에 대한 응력강도계수를 유한요소해석 프로그램인 ANSYS와 상반일 경로 적분법(RWCIM)을 이용하여 구하였다.

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유사등방성과 이방성 이종재 V-노치 균열의 고유벡터계수 해석 (An Analysis of Eigenvector Coefficient for V-notched Cracks in Pseudo-isotropic and Anisotropic Dissimilar Materials)

  • 김진광;조상봉
    • 한국정밀공학회지
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    • 제18권12호
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    • pp.88-94
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    • 2001
  • The V-notched crack problem in dissimilar materials can be formulated as an eigenvalue problem. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of the eigenvector coefficients associated with eigenvalues for V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials. The RWCIM algorithm is programed by the commercial numerical program, MATHEMATICA. The numerical results obtained are shown that the RWCIM is a useful method for determining the eigenvector coefficients of V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials.

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

  • 이원욱;김진광;조상봉
    • 한국정밀공학회지
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    • 제20권7호
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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.