Abstract
An accurate calculation of the displacements and stresses near the surface of the body is difficult by the regular boundary element method. The reason is that the fundamental solutions in the integral formula contain singular factors of 1/r and 1/r 2. As the distance r between the internal point and boundary element becomes small, the singular factor will negatively influence the numerical integration result. This effect is sometimes referred as the boundary-layer type of behavior and is always present in the numerical evaluation of the interior displacements and stresses near the boundary. A special treatment of this effect using an element subdivision or sub-element technique has been investigated. This technique requires a subdivision of the original boundary segment into a number of sub-element and then applies a small number of Gaussian integration points on each sub-element. Good accuracy has been obtained and several examples are illustrated.
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© 1991 Computational Mechanics Publications
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Shiue, FC.T. (1991). Application of Sub-Element Technique for Improving the Interior Displacement and Stress Calculations by Using the Boundary Element Method. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_80
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DOI: https://doi.org/10.1007/978-94-011-3696-9_80
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-696-6
Online ISBN: 978-94-011-3696-9
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