Isogeometric boundary integral formulation for Reissner's plate problems. Issue 1 (30th July 2019)

• Record Type: Journal Article
• Authors: Abdelmoety, Ahmed K.; Naga, Taha H.A.; Rashed, Youssef F.
• Is Part Of: Engineering computations. Volume 37:Issue 1(2020)
• Page Start: 21
• Page End: 53
• Publication Date: 2019-07-30
• Subjects: NURBS -- Isogeometric analysis -- Boundary element method -- Meshless methods -- Reissner plates -- Shear-deformable plates; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-11-2018-0507
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: This paper aims to develop a new isogeometric boundary element formulation based on non-uniform 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.