The penalty boundary method for combining meshes and solid models in finite element analysis

B.W. Clark (School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA)
D.C. Anderson (School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA)

Engineering Computations

ISSN: 0264-4401

Publication date: 1 June 2003

Abstract

The penalty boundary method (PBM) is a new method for performing finite element analysis using a regular overlapping mesh that does not have to coincide with the geometric boundaries. The PBM uses CAD solid geometry directly to generate element matrix equations and apply boundary conditions, removing the need for a separate representation of the geometry. The preliminary results show that the PBM can significantly reduce the time and manual intervention required to prepare finite element models and perform analyses. This paper presents the PBM approach for representing the problem domain on an overlapping mesh that results in a more traditional method for applying natural boundary conditions.

Keywords

Citation

Clark, B.W. and Anderson, D.C. (2003), "The penalty boundary method for combining meshes and solid models in finite element analysis", Engineering Computations, Vol. 20 No. 4, pp. 344-365. https://doi.org/10.1108/02644400310476298

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MCB UP Ltd

Copyright © 2003, MCB UP Limited

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