An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects

  • Authors:

  • R. N. Simpson;S. P. A. Bordas;H. Lian;J. Trevelyan

  • Affiliations:

  • School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, United Kingdom;School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, United Kingdom;School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, United Kingdom;School of Engineering and Computing Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom

  • Venue:
  • Computers and Structures
  • Year:
  • 2013

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Abstract

The concept of isogeometric analysis, whereby the parametric functions that are used to describe CAD geometry are also used to approximate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This paper advances the field further by outlining an isogeometric boundary element Method (IGABEM) that only requires a representation of the geometry of the domain for analysis, fitting neatly with the boundary representation provided completely by CAD. The method circumvents the requirement to generate a boundary mesh representing a significant step in reducing the gap between engineering design and analysis. The current paper focuses on implementation details of 2D IGABEM for elastostatic analysis with particular attention paid towards the differences over conventional boundary element implementations. Examples of Matlab(R) code are given whenever possible to aid understanding of the techniques used.