Isogeometric boundary integral formulation for Reissner’splate problems
Engineering Computations • 2019
Publication Information
Authors
Abdelmoety; Ahmed K and Naga, Taha HA and Rashed; Youssef F
Keywords
NURBS; Isogeometric analysis; Boundary element method; Meshless methods;
Journal
Engineering Computations
Publisher
Emerald Publishing Limited
Volume
36
Issue
Not Available
Pages
85-101
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
Abstract
Purpose – This paper aims to develop a new isogeometric boundary element formulation based on nonuniform
rational basis splines (NURBS) curves for solving Reissner’s shear-deformable plates.
Design/methodology/approach – The generalized displacements and tractions along the problem
boundary are approximated as NURBS curves having the same rational B-spline basis functions used to
describe the geometrical boundary of the problem. The source points positions are determined over the
problem boundary by the well-known Greville abscissae definition. The singular integrals are accurately
evaluated using the singularity subtraction technique.
Findings – Numerical examples are solved to demonstrate the validity and the accuracy of the developed
formulation.
Originality/value – This formulation is considered to preserve the exact geometry of the problem and to
reduce or cancel mesh generation time by using NURBS curves employed in computer aided designs as a tool
for isogeometric analysis. The present formulation extends such curves to be implemented as a stress
analysis tool.
Purpose – This paper aims to develop a new isogeometric boundary element formulation based on nonuniform
rational basis splines (NURBS) curves for solving Reissner’s shear-deformable plates.
Design/methodology/approach – The generalized displacements and tractions along the problem
boundary are approximated as NURBS curves having the same rational B-spline basis functions used to
describe the geometrical boundary of the problem. The source points positions are determined over the
problem boundary by the well-known Greville abscissae definition. The singular integrals are accurately
evaluated using the singularity subtraction technique.
Findings – Numerical examples are solved to demonstrate the validity and the accuracy of the developed
formulation.
Originality/value – This formulation is considered to preserve the exact geometry of the problem and to
reduce or cancel mesh generation time by using NURBS curves employed in computer aided designs as a tool
for isogeometric analysis. The present formulation extends such curves to be implemented as a stress
analysis tool.
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