Summary
Serious problems arise when Gaussian quadrature is employed for the integrations required in the direct boundary element method (DBEM). You will run in a lot of trouble if you are going to compute domain points near the boundary. These problems can be overcome if you carry out the integration analytically. The technique is developped in this paper.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hartmann, F.: Introduction to Boundary Elements Springer 1989.
Hartmann, F.: The Mathematical Foundation of Structural Mechanics Springer 1985.
Hartmann, F.: ELASTOSTATICS in: Brebbia, C.A.: Progress in BOUNDARY ELEMENT METHODS, Pentech Press 1981.
Blum, H.: Numerical Treatment of Corner and Crack Singularities Saarbrücken, 1987.
Stern, M.: A general boundary integral formulation for the numerical solution of plate bending problems Int. J. Solids Structures 15 (1979) pp. 769–782.
Melzer, H.; Rannacher, R.: Spannungskonzentrationen in Eckpunkten der Kirchhoffschen Platte Bauingenieur 55 (1980) 181–184.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Knöpke, B. (1992). The analytical integration of boundary integrals for plate bending. In: Hackbusch, W. (eds) Numerical Techniques for Boundary Element Methods. Notes on Numerical Fluid Mechanics (NNFM), vol 33 7. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14005-4_10
Download citation
DOI: https://doi.org/10.1007/978-3-663-14005-4_10
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07633-7
Online ISBN: 978-3-663-14005-4
eBook Packages: Springer Book Archive