The paper presents a new numerical method of the computation of stresses and displacements at internal points using boundary elements. The accuracy of the computation is reasonable even if the internal point is very close to the boundary. The numerical algorithm is developed for both the two-and thr
Direct evaluation of boundary stresses in the 3D BEM of elastostatics
โ Scribed by Wilde, A. J. ;Aliabadi, M. H.
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 195 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1069-8299
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โฆ Synopsis
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 deยฎning 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.
๐ SIMILAR VOLUMES
In this paper, a quadratic polynomial expression is used as the displacement shape function to develop the Boundary Contour Method. In this work, the divergence free property of the J integral is proved; the evaluation of the J integral is transformed, through an application of Stokes' theorem, into