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

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KHOJASTEH A.; RAHIMIAN M.; ESKANDARI GHADI M.

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Journal: Year:2006 | Volume:40 | Issue:5 (99) Page(s): 611-624

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Title

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

Author(s)

KHOJASTEH A. | RAHIMIAN M. | ESKANDARI GHADI M. | Issue Writer Certificate

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Abstract

In this paper an analytical solution is presented for displacements and stresses of a three dimensional linear Green elastic transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. The equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by Eskandari-Ghadi (2005) for electrodynamics problems. The Fourier expansion and Hankel transform in a cylindrical coordinate system with respect to angular and radial coordinates, respectively are employed to solve the boundary value problems for the potential functions. The development includes a set of transformed stress-potential and displacement potential relations that are useful in a variety of either static or dynamic problems. To verify the accuracy of the numerical evaluation of the present solutions, comparisons with existing solutions for an isotropic material are given. Different numerical results are also included to demonstrate the influence of the degree of the material anisotropy and the frequency of excitation on the response. The solutions for transversely isotropic material are also degenerated for the isotropic material response analytically and compared with existing analytical solutions. Solutions presented in this paper are important in development of boundary-integral-equations to analysis both dynamic anisotropic soil structure interaction problem and seismic waves scattering in anisotropic soils.

Cites

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

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APA: Copy

KHOJASTEH, A., RAHIMIAN, M., & ESKANDARI GHADI, M.. (2006). 3D ANALYSIS OF A TRANSVERSELY ISOTROPIC HALF-SPACE SUBJECTED TO TIME-HARMONIC SURFACE TANGENTIAL FORCE. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 40(5 (99)), 611-624. SID. https://sid.ir/paper/14315/en

Vancouver: Copy

KHOJASTEH A., RAHIMIAN M., ESKANDARI GHADI M.. 3D ANALYSIS OF A TRANSVERSELY ISOTROPIC HALF-SPACE SUBJECTED TO TIME-HARMONIC SURFACE TANGENTIAL FORCE. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2006;40(5 (99)):611-624. Available from: https://sid.ir/paper/14315/en

IEEE: Copy

A. KHOJASTEH, M. RAHIMIAN, and M. ESKANDARI GHADI, “3D ANALYSIS OF A TRANSVERSELY ISOTROPIC HALF-SPACE SUBJECTED TO TIME-HARMONIC SURFACE TANGENTIAL FORCE,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 40, no. 5 (99), pp. 611–624, 2006, [Online]. Available: https://sid.ir/paper/14315/en

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