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The Elastodynamic Interaction of a Rigid Circular Foundation Embedded in a Functionally Graded Transversely Isotropic Half-Space
The responses of foundations in a layered transversely isotropic medium under dynamic loadings have a wide application in geotechnical design of foundations and piles. The present work proposes a rigorous semi-analytical-numerical solution to a rigid circular disk problem representing the rigid foundation for a wide range of mechanical loadings. In this regard, a relaxed treatment of the mixed boundary-value problem yields to an analytically-derived system of coupled dual integral equations where can be later reduced to a pair of decoupled Fredholm integral equations through Fourier and Hankel transforms in polar directions. Furthermore, the transversely isotropic half-space ground is a functionally graded soil following an exponential trend in the elasticity constants. To ensure the accuracy of the proposed model and numerical evaluation of the singular integrals involved, the present work has been validated with reference solutions for different cases of zero foundation embedments, different degree of the material anisotropy, frequency of excitation and loading directions. Numerical results are also included for different cases of zero foundation embedments, different degree of the material anisotropy, frequency of excitation and loading directions. The results of this paper can be used for solving a wide range of linear elastodynamic problems in anisotropic mediums.
The Elastodynamic Interaction of a Rigid Circular Foundation Embedded in a Functionally Graded Transversely Isotropic Half-Space
The responses of foundations in a layered transversely isotropic medium under dynamic loadings have a wide application in geotechnical design of foundations and piles. The present work proposes a rigorous semi-analytical-numerical solution to a rigid circular disk problem representing the rigid foundation for a wide range of mechanical loadings. In this regard, a relaxed treatment of the mixed boundary-value problem yields to an analytically-derived system of coupled dual integral equations where can be later reduced to a pair of decoupled Fredholm integral equations through Fourier and Hankel transforms in polar directions. Furthermore, the transversely isotropic half-space ground is a functionally graded soil following an exponential trend in the elasticity constants. To ensure the accuracy of the proposed model and numerical evaluation of the singular integrals involved, the present work has been validated with reference solutions for different cases of zero foundation embedments, different degree of the material anisotropy, frequency of excitation and loading directions. Numerical results are also included for different cases of zero foundation embedments, different degree of the material anisotropy, frequency of excitation and loading directions. The results of this paper can be used for solving a wide range of linear elastodynamic problems in anisotropic mediums.
The Elastodynamic Interaction of a Rigid Circular Foundation Embedded in a Functionally Graded Transversely Isotropic Half-Space
Yaghmaie, Reza (author) / Asgari, Hamidreza (author)
Fourth Geo-China International Conference ; 2016 ; Shandong, China
Geo-China 2016 ; 57-64
2016-07-21
Conference paper
Electronic Resource
English
| British Library Conference Proceedings | 2016
| Taylor & Francis Verlag | 2022
Elastodynamic Potential Method for Transversely Isotropic Solid
| Online Contents | 2007