ANALYTICAL SOLUTION FOR A TRANSVERSELY ISOTROPIC HALF-SPACE DUE TO TORSION ON THE WALL OF A FINITE LENGTH CYLINDRICAL CAVITY

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MAHMOODIAN M.R.; ESKANDARI GHADI M.

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Journal: Ferdowsi Civil Engineering Year:2013 | Volume:24 | Issue:1 Page(s): 35-44

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Title

ANALYTICAL SOLUTION FOR A TRANSVERSELY ISOTROPIC HALF-SPACE DUE TO TORSION ON THE WALL OF A FINITE LENGTH CYLINDRICAL CAVITY

Author(s)

MAHMOODIAN M.R. | ESKANDARI GHADI M. | Issue Writer Certificate

Keywords

TORSIONQ2

TRANSVERSELY ISOTROPICQ2

HALF-SPACEQ2

CYLINDRICAL CAVITYQ2

FOURIER COSINE TRANSFORMQ2

INTEGRAL EQUATIONSQ3

Abstract

In this article, a TRANSVERSELY ISOTROPIC linear elastic HALF-SPACE with depth wise isotropy axis of material containing a CYLINDRICAL CAVITY of finite length is considered to be under the effect of an arbitrary TORSION force applied on the wall of the cavity. To this end, the equation of equilibrium has been written in a cylindrical coordinate system, by dividing the involved domain to two regions and considering the equation of equilibrium in each region and by means of Fourier cosine integral transforms, the non-zero displacement component is obtained in the transformed domain. With the aid of the inversion theorem ofthe Fourier cosine integral transform, the displacements are determined in the real domain. By writing boundary and continuity conditions, a governing generalized Cauchy singular integral equation is obtained. By solving the governing integral equation, the shear stress and the TORSIONal displacement are obtained for any point. The degenerated results for isotropic media are compared with existing results reported in the literature, where there exists an excellent agreement. The results of the paper may be used as the benchmark for the related research in the TRANSVERSELY ISOTROPIC media.

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References

3D ANALYSIS OF A TRANSVERSELY ISOTROPIC HALF-SPACE SUBJECTED TO TIME-HARMONIC SURFACE TANGENTIAL FORCE

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APA: Copy

MAHMOODIAN, M.R., & ESKANDARI GHADI, M.. (2013). ANALYTICAL SOLUTION FOR A TRANSVERSELY ISOTROPIC HALF-SPACE DUE TO TORSION ON THE WALL OF A FINITE LENGTH CYLINDRICAL CAVITY. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), 24(1), 35-44. SID. https://sid.ir/paper/195852/en

Vancouver: Copy

MAHMOODIAN M.R., ESKANDARI GHADI M.. ANALYTICAL SOLUTION FOR A TRANSVERSELY ISOTROPIC HALF-SPACE DUE TO TORSION ON THE WALL OF A FINITE LENGTH CYLINDRICAL CAVITY. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2013;24(1):35-44. Available from: https://sid.ir/paper/195852/en

IEEE: Copy

M.R. MAHMOODIAN, and M. ESKANDARI GHADI, “ANALYTICAL SOLUTION FOR A TRANSVERSELY ISOTROPIC HALF-SPACE DUE TO TORSION ON THE WALL OF A FINITE LENGTH CYLINDRICAL CAVITY,” JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), vol. 24, no. 1, pp. 35–44, 2013, [Online]. Available: https://sid.ir/paper/195852/en

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