طه حسين عبد الله محمد ابو النجا
مدرس
Indirect boundary element formulation with dual reciprocity in elastodynamics
Engineering Analysis with Boundary Elements • 2022
معلومات البحث
المؤلفون
Taha H.A. Naga, Elsayed M. Elsheikh, and Youssef F. Rashed
الكلمات المفتاحية
Indirect boundary element method; Fundamental solution; Elasticity; Dual reciprocity method; Transient dynamic analysis
المجلة العلمية
Engineering Analysis with Boundary Elements
الناشر
ELSEVIER
المجلد
144
العدد
Not Available
الصفحات
301-310
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
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.
