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Torsion of two bonded layers by a rigid disk

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Abstract

The problem considered in this paper describes the torsion of a homogeneous isotropic elastic layer (0≤z≤d 1) of finite thickness d 1, perfectly bonded to another elastic layer (-d 2≤z≤0) of finite thickness d 2. The problem is reduced to the solution of a Fredholm integral equation of the second kind. The solutions are given for some particular cases.

Sommario

In questo lavoro si considera il problema della torsione di uno strato elastico omogeneo ed isotropo (0≤z≤d 1) di spessore finito d 1, perfettamente incollato ad un altro strato elastico (-d 2≤z≤0) di spessore finito d 2. II problema é ricondotto alla soluzione di una equazione integrale di Freedholm del secondo ordine. Le soluzioni sono ottenute per alcuni casi particolari.

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References

  1. ReissnerE. and SagociH. F., ‘Forced torsional oscillations of an elastic half-space — I’, J. Appl. Phys., 15 (1944) 652–654.

    Google Scholar 

  2. SagociH. F., ‘Forced torsional oscillations of an elastic half-space, II’, J. Appl. Phys., 15 (1944) 655–662.

    Google Scholar 

  3. SneddonI. N., ‘A note on Reissner and Sagoci problem’, J. Appl. Phys., 18 (1947) 130–132.

    Google Scholar 

  4. SneddonI. N., ‘The Reisnner-Sagoci problem’, Proc. Glasgow Math. Assoc., 7 (1966) 136–144.

    Google Scholar 

  5. CollinsW. D., ‘The forced torsional oscillations of an elastic halfspace and on elastic stratum’, Proc. London Math. Soc., 12 (1962) 226–244.

    Google Scholar 

  6. Uflyahd, Y. S., Torsion of an Elastic Layer, Doklady Akad, Nauk SSSR, Vol. 129, 1959, pp. 997–999.

  7. GladwellG. M. L., ‘The torsional vibration of an elastic stratum’, Internat. J. Engng Sci., 7 (1969) 295–307.

    Google Scholar 

  8. JabaliH. H., ‘Torsional stiffness of a layer bonded to an elastic half space’, Internat. J. Solids and Structures, 11 (1975) 0000–1219.

    Google Scholar 

  9. DhaliwalR. S. and SinghB. M., ‘Torsion by a circular die of a nonhomogeneous elastic layer bonded to a nonhomogeneous halfspace’, Internal. J. Engng Sci., 16 (1978) 649–658.

    Google Scholar 

  10. ErguvenM. E., ‘Torsion by a circular die of a transversely isotropic elastic layer bonded to a transversely isotropic half-space’, Bull. Tech. Univ. Istanbul, 41(2) (1988) 231–242.

    Google Scholar 

  11. Abramowitz, M. and Steagun, I. A., Handbook of Mathematical Functions, Dover Publications, 1972.

  12. Gradshteyn, I. S. and Ryzhik, I. M., Table of Integral, Series and Products, AP, Inc., 1980.

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Erguven, M.E. Torsion of two bonded layers by a rigid disk. Meccanica 26, 117–123 (1991). https://doi.org/10.1007/BF00429877

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  • DOI: https://doi.org/10.1007/BF00429877

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