International Journal of Precision Engineering and Manufacturing

Korean Society for Precision Engineering (한국정밀공학회)
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A study on Stress Singularities for V-notched Cracks in Anisotropic and/or Pseudo-isotropic Dissimilar Materials

  • Published : 2002.04.01
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Abstract

V-notched crack problems can be formulated as eigenvalue problems. The problem ova v-notched crack in anisotropic and/or pseudo-isotropic dissimilar materials was formulated as an eigenvalue problem to discuss stress singularities. The eigenvalue problem was served by the commercial numerical program; MATHEMATICA. The specific data of eigenvalues possessing the stress singularity were obtained. Stress singularities fur v-notched cracks in anisotropic and/or pseudo-isotropic dissimilar materials were discussed according to the relation between wedge angle and material property. It was shown that there are three cases of eigenvalues possessing the stress singularity; one real, two real and one complex.

Keywords

References

  1. Bogy, D. B., 'On the Problem of Edge-bonded Elastic Quarter-planes Loaded at the Boundary,' Int. J. Solids Structures, Vol. 6, pp. 1287-1313, 1970 https://doi.org/10.1016/0020-7683(70)90104-6
  2. Bogy, D. B., 'Two Edge-Bonded Elastic Wedges of Different Materials and Wedge Angles under Surface Tractions,' J. Applied Mechanics, Vol. 38, pp.377-386, 1971 https://doi.org/10.1115/1.3408786
  3. Hein, V. L., and Erdogan, F., 'Stress Singularities in a Two-material Wedge,' Int. J. Fract. Mech.,Vol.7, pp. 317-330, 1971 https://doi.org/10.1007/BF00184307
  4. Carpenter, W. C., and Byers, C., 'A Path Independent Integral for Computing Stress Intensities for V-notched Cracks in a Bi-material,' Int. J. Fract., Vol. 35, pp. 245-268, 1987 https://doi.org/10.1007/BF00276356
  5. Ting, T. C. T., and Chou, S. C.,'Edge Singularities in Anisotropic Composites', Int. J. Solids Structures, Vol. 17, No. 11, pp. 1057-1068, 1981 https://doi.org/10.1016/0020-7683(81)90013-5
  6. Zwiers, R. I., Ting, T. C. T., and Spiker, R. L.,'On the Logarithmic Singularity of Free-edge Stress in Laminated Composites under Uniform Extension,' J. Applied Mechanics, Vol. 49, pp. 561-569, 1982 https://doi.org/10.1115/1.3162526
  7. Ting, T. C. T.,'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, 1986 https://doi.org/10.1016/0020-7683(86)90031-4
  8. Cho, S. B., and Yang, J. H., ' A Study on Stress Singularities for V-notched Cracks in Anisotropic Dissimilar Materials,' KSME Journal(A), Vol. 22, No.7, pp. 1307-1315, 1998
  9. Cho, S. B., and Yang, J. H., 'Stress Singularities for V-notched Cracks in Monoclinic Dissimilar Materials under the Antiplane Shear,' KSME Journal(A), Vol.23, No. 4, pp. 563-570, 1999
  10. Cho, S. B., and Carpenter, W. C., 'The Complex Potential Approach to Power-Logarithmic Stress Singularities for V-notched Cracks in a Bi-Materials,' KSME Int. J., Vol. 13, No. 1, pp. 19-25, 1999 https://doi.org/10.1007/BF02946119
  11. Lekhnitskii, S. G., 'Theory of Elasticity of an Anisotropic Elastic Body,' Holden-Day, Inc., 1963
  12. Dunn, M. L., Suwito, W., and Cunningham, S., 'Stress Intensities at Notch Singularities,' Engng Fracture Mech., Vol. 57, No. 4, pp. 417-430, 1997 https://doi.org/10.1016/S0013-7944(97)00019-2