A method based on 3D stiffness matrices in Cartesian coordinates for computation of 2.5D elastodynamic Green's functions of layered half-spaces
A method based on 3D stiffness matrices in Cartesian coordinates for computation of 2.5D elastodynamic Green's functions of layered half-spaces
This article elaborates on an extension to the classical stiffness matrix method to obtain the Green's functions for two-and-a-half dimensional (2.5D) elastodynamic problems in homogeneous and horizontally layered half-spaces. Exact expressions for the three-dimensional (3D) stiffness matrix method for isotropic layered media in Cartesian coordinates are used to determine the stiffness matrices for a system of horizontal layers underlain by an elastic half–space. In the absence of interfaces, virtual interfaces are considered at the positions of external loads. The analytic continuation is used to find the displacements at any receiver point placed within a layer. The responses of a horizontally layered half-space subjected to a unit harmonic load obtained using the present method are compared with those calculated using a well-established methodology, achieving good agreement.
2.5D Green's functions, Homogeneous half-space, Layered half-space, Stiffness matrix method
154-158
Noori, Behshad
40ec722c-74a9-4b8e-9958-53bc0b3be782
Arcos, Robert
a392e7df-6629-4171-a87e-df9f8f8e2908
Clot, Arnau
6d93f215-ef4c-469d-8b9e-5598e5e7df34
Romeu, Jordi
559eb546-80c7-4331-9ee3-099b176578be
1 November 2018
Noori, Behshad
40ec722c-74a9-4b8e-9958-53bc0b3be782
Arcos, Robert
a392e7df-6629-4171-a87e-df9f8f8e2908
Clot, Arnau
6d93f215-ef4c-469d-8b9e-5598e5e7df34
Romeu, Jordi
559eb546-80c7-4331-9ee3-099b176578be
Noori, Behshad, Arcos, Robert, Clot, Arnau and Romeu, Jordi
(2018)
A method based on 3D stiffness matrices in Cartesian coordinates for computation of 2.5D elastodynamic Green's functions of layered half-spaces.
Soil Dynamics and Earthquake Engineering, 114, .
(doi:10.1016/j.soildyn.2018.07.031).
Abstract
This article elaborates on an extension to the classical stiffness matrix method to obtain the Green's functions for two-and-a-half dimensional (2.5D) elastodynamic problems in homogeneous and horizontally layered half-spaces. Exact expressions for the three-dimensional (3D) stiffness matrix method for isotropic layered media in Cartesian coordinates are used to determine the stiffness matrices for a system of horizontal layers underlain by an elastic half–space. In the absence of interfaces, virtual interfaces are considered at the positions of external loads. The analytic continuation is used to find the displacements at any receiver point placed within a layer. The responses of a horizontally layered half-space subjected to a unit harmonic load obtained using the present method are compared with those calculated using a well-established methodology, achieving good agreement.
Text
SOILDYN_2018_232
- Accepted Manuscript
More information
Accepted/In Press date: 22 July 2018
e-pub ahead of print date: 27 July 2018
Published date: 1 November 2018
Keywords:
2.5D Green's functions, Homogeneous half-space, Layered half-space, Stiffness matrix method
Identifiers
Local EPrints ID: 424791
URI: http://eprints.soton.ac.uk/id/eprint/424791
ISSN: 0267-7261
PURE UUID: e1a71792-894f-4b8c-87e7-4e942368002f
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Date deposited: 05 Oct 2018 11:46
Last modified: 18 Mar 2024 05:19
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Contributors
Author:
Behshad Noori
Author:
Robert Arcos
Author:
Arnau Clot
Author:
Jordi Romeu
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