Taha Hussein Abd Allah Mohamed
Lecturer
Indirect boundary element formulation with dual reciprocity in elastodynamics
Engineering Analysis with Boundary Elements • 2022
Publication Information
Authors
Taha H.A. Naga, Elsayed M. Elsheikh, and Youssef F. Rashed
Keywords
Indirect boundary element method; Fundamental solution; Elasticity; Dual reciprocity method; Transient dynamic analysis
Journal
Engineering Analysis with Boundary Elements
Publisher
ELSEVIER
Volume
144
Issue
Not Available
Pages
301-310
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, a new indirect boundary element formulation for two-dimensional elastodynamic problems is
presented. The formulation makes use of a static fundamental solution. For accurate solution, the location of the
fictitious boundary is chosen to be the same as problem boundary. The relevant fundamental solution is integrated
over lines. The method is combined with the Dual Reciprocity Method (DRM), for handling the domain
integral concerning to the domain inertia terms. A suitable approximation (traditional function C-R is used) for
the inertia terms (or, domain accelerations), is used to transform the domain integral to the boundary. The
discretization is performed on the boundary, or a boundary-like geometry. The method is easy to code and
efficient as presented by the numerical examples.
presented. The formulation makes use of a static fundamental solution. For accurate solution, the location of the
fictitious boundary is chosen to be the same as problem boundary. The relevant fundamental solution is integrated
over lines. The method is combined with the Dual Reciprocity Method (DRM), for handling the domain
integral concerning to the domain inertia terms. A suitable approximation (traditional function C-R is used) for
the inertia terms (or, domain accelerations), is used to transform the domain integral to the boundary. The
discretization is performed on the boundary, or a boundary-like geometry. The method is easy to code and
efficient as presented by the numerical examples.