Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Application of the Reciprocal Work Contour Integral Method to the Analysis of Eigenvector Cofficients for V-notched Cracks in Anistropic Dissimilar Materials

이방성 이종재 V-노치 균열의 고유벡터계수 해석에 대한 상반일 경로 적분법의 적용

  • Published : 2001.09.01
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Abstract

This paper examines that it is possible to apply RWCIM for determining eigenvector coefficients associated with eigenvalues for V-notched cracks in anisotropic dissimilar materials using the complex stress function. To verify the RWCIM algorithm, two tests will be shown. First, it is performed to ascertain whether predicted coefficients associated with eigenvectors are obtained exactly. Second, it makes an examination of the state of stresses for FEM and RWCIM according to a number of eigenvectors at a location far away from the v-notched crack tip.

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References

  1. Bogy, D. B., 1970, 'On the Problem of Edge-bonded Elastic Quarter-planes Loaded at the Boundary,' Int. J. Solids Structures, Vol. 6, pp. 1287-1313 https://doi.org/10.1016/0020-7683(70)90104-6
  2. Bogy, D. B., 1971, 'Two Edge-Bonded Elastic Wedges of Different Materials and Wedge Angles under Surface Tractions,' J. Appl. Mech. Vol. 38, pp. 377-386
  3. Hein, D. B. and Erdogn, F., 1971, 'Stress Singularities in a Two-material Wege,' Int. J. Fract. Mechanics, Vol. 7, pp. 317-330
  4. Carpenter, W. C. and Byers, C., 1987, 'A Path Independent Integral for Cpmputing Stress Intensities for V-notched Cracks in a Bi-material,' Int. J. Fract. Vol. 35, pp. 245-268 https://doi.org/10.1007/BF00276356
  5. Ting, T. C. T. and Chou, S. C., 1981, 'Edge Singularities in Anisotropic Composites,' Int. J. Solids Structures, Vol. 17, No. 11, pp. 1057-1068 https://doi.org/10.1016/0020-7683(81)90013-5
  6. Zwiers, R. I., Ting, T. C. T. and Spiker, R. L., 1982, 'On the Logarithmic Singularity of Free-Edge Stress in Laminated Composites under Uniform Extension,' J. Applied Mechanics, Vol. 49, pp. 561-569
  7. Ting, T. C. T., 1986, 'Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites,' Int. J. Solids Structures, Vol. 22, No. 9, pp. 965-983 https://doi.org/10.1016/0020-7683(86)90031-4
  8. 조상봉, 양장홍, 1998, '이방성 이종재료 내의 V-노치균열에 대한 응력특이성에 관한 연구,' 대한기계학회논문집 A권, 제22권 제7호, pp. 1307-1315
  9. 조상봉, 김진광, 1999, '유사등방성과 이방성이종재료 내의 V-노치 균열에 대한 응력특이성에 관한 연구,' 한국정밀학회, 제16권 제10호, pp. 152-163
  10. Labossiere, P. E. W. and Dunn, M. L., 1999, 'Stress Intensity at Interface Corners in Anisotropic Bimaterials,' Eng. Frac. Mech., Vol. 62, pp. 555-575