Reference : A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis
Simpson, R. N. [School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, United Kingdom]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Trevelyan, J. [School of Engineering and Computing Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom]
Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, United Kingdom]
Computer Methods in Applied Mechanics and Engineering
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[en] Boundary Element Method ; Isogeometric analysis ; NURBS ; Analytical solutions ; CAD softwares ; Elasto-static problem ; Engineering design ; Finite element implementation ; Non-uniform rational B-splines ; Research efforts ; Computer aided design ; Finite element method ; Interpolation ; Numerical methods ; Two dimensional ; Boundary element method
[en] The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation. © 2011 Elsevier B.V.
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