Computing principal‐value integrals in 3‐D BEM for time‐harmonic elastodynamics – A direct approach
- 1 March 1992
- journal article
- research article
- Published by Wiley in Communications in Applied Numerical Methods
- Vol. 8 (3) , 141-149
- https://doi.org/10.1002/cnm.1630080302
Abstract
Current methods to deal with Cauchy principal‐value (CPV) integrals in advanced boundary‐element implementations have been almost entirely based on indirect approaches (such as the rigid‐body motion in elastostatics). The present paper illustrates an alternative direct approach for the rigorous treatment and numerical evaluation of general CPV integrals in three‐dimensional problems. The method has general validity. It can be applied in any field of applied mechanics and with curved boundary elements of any order and type. As expected, the mesh pattern around the pole does not affect the numerical results.Keywords
This publication has 8 references indexed in Scilit:
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral EquationsJournal of Applied Mechanics, 1992
- Direct Evaluation of Hypersingular Integrals in 2D BEMPublished by Springer Nature ,1992
- The evaluation of cauchy principal value integrals in the boundary element method—a reviewMathematical and Computer Modelling, 1991
- A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element MethodJournal of Applied Mechanics, 1990
- Direct computation of Cauchy principal value integrals in advanced boundary elementsInternational Journal for Numerical Methods in Engineering, 1987
- Ecole Nationale des Ponts et ChausséesPublished by Springer Nature ,1987
- A boundary integral equation method for radiation and scattering of elastic waves in three dimensionsInternational Journal for Numerical Methods in Engineering, 1985
- The Somigliana identity on piecewise smooth surfacesJournal of Elasticity, 1981