A dual reciprocity formulation for elasticity problems with body forces using augmented thin plate splines
1996; Wiley; Volume: 12; Issue: 3 Linguagem: Inglês
10.1002/(sici)1099-0887(199603)12
ISSN1099-0887
Autores Tópico(s)Elasticity and Material Modeling
ResumoCommunications in Numerical Methods in EngineeringVolume 12, Issue 3 p. 209-220 Research Article A dual reciprocity formulation for elasticity problems with body forces using augmented thin plate splines T. R. Bridges, T. R. Bridges Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO40 7AA, U.K.Search for more papers by this authorL. C. Wrobel, L. C. Wrobel Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO40 7AA, U.K.Search for more papers by this author T. R. Bridges, T. R. Bridges Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO40 7AA, U.K.Search for more papers by this authorL. C. Wrobel, L. C. Wrobel Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO40 7AA, U.K.Search for more papers by this author First published: March 1996 https://doi.org/10.1002/(SICI)1099-0887(199603)12:3 3.0.CO;2-NCitations: 31AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract This paper presents a novel dual reciprocity formulation for elasticity problems with body forces in which the approximating functions are given in terms of augmented thin plate splines (ATPS). It is shown that the ATPS approximation is capable of correctly representing gravitational and centrifugal body forces, and provides superior accuracy for general load cases. References 1 D. Nardini and C. A. Brebbia, 'A new approach to free vibration analysis using boundary elements', in Boundary Element Methods in Engineering, Computational Mechanics Publications, Southampton and Springer–Verlag, Berlin, 1982. 10.1007/978-3-662-11273-1_22 Google Scholar 2 P. W. Partridge, C. A. Brebbia and L. C. Wrobel, The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton and Elsevier, London, 1992. Google Scholar 3 M. A. Golberg and C. S. Chen, 'The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations', Bound. Elem. Commun., 5, 57–61 (1994). Google Scholar 4 T. Yamada, L. C. Wrobel and H. Power, 'On the convergence of the dual reciprocity boundary element method', Eng. Anal., 13, 291–298 (1994). Web of Science®Google Scholar 5 M. J. D. Powell, ' The theory of radial basis function approximation in 1990', in Advances in Numerical Analysis Vol. II, Oxford Science Publications, Oxford, 1992. Google Scholar 6 J. Duchon, ' Spline minimizing rotation-invariant seminorms in Sobolev spaces', in Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics, Vol. 571, Springer–Verlag, Berlin, 1977. Google Scholar 7 M. Golberg, ' The method of fundamental solutions for Poisson's equation', in Betech IX, Computational Mechanics Publications, Southampton, 1994. Google Scholar 8 S. R. Karur and P. A. Ramachandran, 'Augmented thin plate spline approximation in DRM', Bound. Elem. Commun., 6, 55–58 (1995). Google Scholar 9 V. Botte and H. Power, 'An indirect boundary element approach for the nonlinear flow in a three-dimensional cavity', Int. j. numer. methods engng, submitted for publication. Google Scholar 10 Boundary Element Analysis System (BEASY), Computational Mechanics Ltd., Ashurst Lodge, Ashurst, Southampton, U.K. Google Scholar 11 S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill Book Company, Third Edition, pp. 80–83, 1982. Web of Science®Google Scholar 12 M. Golberg, 'The numerical evaluation of particular solutions in the BEM - A review', Bound. Elem. Commun., 6, 99–106 (1995). Google Scholar Citing Literature Volume12, Issue3March 1996Pages 209-220 ReferencesRelatedInformation
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