Title

Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space

Author First name, Last name, Institution

Andrew T. Peplow, Zayed University

Document Type

Conference Proceeding

Source of Publication

Journal of Physics: Conference Series

Publication Date

11-5-2018

Abstract

© Published under licence by IOP Publishing Ltd. In the context of range-independent solid media, we propose a well-conditioned dynamic stiffness matrix for an elastic layer sitting over an elastic half-space. This formulation overcomes the well-known problem of numerical ill-conditioning when solving the system of equations for deep-layered strata. The methodology involves the exact solutions of transformed ordinary differential equations in the wavenumber domain, a projection method based on the transformed equations with respect to the depth coordinate. By re-arranging the transformed equations the solutions remain numerically well-conditioned for all layer depths. The inverse transforms are achieved with a numerical quadrature method and the results presented include actual displacement fields in the near-field of the load.

ISSN

1742-6588

Publisher

Institute of Physics Publishing

Volume

1106

Issue

1

Disciplines

Life Sciences

Keywords

Geometry; Hydroelasticity; Inverse problems; Inverse transforms; Numerical methods; Ordinary differential equations; Stiffness; Vibration analysis; Displacement field; Dynamic stiffness matrix; Elastic half space; Numerical ill-conditioning; Numerical-quadrature method; Projection method; System of equations; Wave number domain; Stiffness matrix

Scopus ID

85057158386

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

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