Direct evaluation of boundary stresses in the 3D BEM of elastostatics

In this paper, a method for the evaluation of boundary stresses directly from the BEM solution of elastostatic problems using the static boundary integral equation is presented. The technique is valid for corners and edges as well as smooth points on the boundary, and involves defining a new interpo...

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Bibliographic Details
Published in:Communications in numerical methods in engineering 1998-06, Vol.14 (6), p.505-517
Main Authors: Wilde, A. J., Aliabadi, M. H.
Format: Article
Language:English
Subjects:
Boundary-integral methods
Computational techniques
continuous elements
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
hypersingular integral equation
Mathematical methods in physics
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
stress analysis
Structural and continuum mechanics
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Summary:In this paper, a method for the evaluation of boundary stresses directly from the BEM solution of elastostatic problems using the static boundary integral equation is presented. The technique is valid for corners and edges as well as smooth points on the boundary, and involves defining a new interpolation function for continuous elements which incorporate certain continuity conditions arising from the hypersingular nature of the integrals involved. An integration technique based on the singularity subtraction method using series expansions is adopted for the hypersingular intergrals. Results are shown to be more accurate than those obtained with conventional techniques. © 1998 John Wiley & Sons, Ltd.
ISSN:1069-8299
1099-0887
DOI:10.1002/(SICI)1099-0887(199806)14:6<505::AID-CNM164>3.0.CO;2-S