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The effect of couple-stresses in an infinite plate having a circular hole

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Summary

The investigation of the stress-components in an infinite, plate of isotropic homogeneous material with a circular hole has been made by applying Cosserat's theory of couple-stresses. The plate is acted on by two equal concentrated forces at the diametrically opposite points of the inner boundary.

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References

  1. E andF. Cosserat,Theorie des corps déformables, (Paris, 1909).

  2. R. D. Mindlin,Influence of couple-stresses on stress concentrations, Experimental Mechanics3 (1963).

  3. G. R. Tiwari,Effect of couple-stress in a non-homogeneous semi-infinite elastic medium, Indian Journal of theoretical physics18, No. 3 (1970).

  4. P. K. De,Effect of Cosserat's couple-stress on the stress distribution in a semi-infinite medium with varying modulus of elasticity, Indian Journal of Theoretical Physics18, No. 2 (1970).

  5. I. N. Sneddon,Fourier Transforms, p-32 (1950).

  6. G. N. Watson,A Treatise on the Theory of Bessel Function (1966).

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Authors and Affiliations

  1. Department of Mathematics, R. K. Mission Residential College, Dist., P. O. Narendrapur, 24-Parganas, West Bengal, India

    N. Bhanja

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  1. N. Bhanja
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Bhanja, N. The effect of couple-stresses in an infinite plate having a circular hole. PAGEOPH 101, 38–42 (1972). https://doi.org/10.1007/BF00876772

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  • DOI: https://doi.org/10.1007/BF00876772

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