Abstract
Realistic engineering problems often demand nonlinear material behaviour to be taken into account. BEM can be readily applied to nonlinear,potential problems in homogenous bodies. The standard1 2 technique is the Kirchhoff’s transformation However, this approach cannot be directly employed in the case of bodies composed of some subregions each of different material properties. The paper deals with the extension of Kirchhoff’s transformation idea to inhomogenous bodies in the context of boundary element method.
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References
Bialecki R., Nowak A. (1981), Boundary value problems of heat conduction with nonlinear material and nonlinear boundary conditions, Applied Mathematical Modelling,vol 5,pp 417–421
Khader M.S., Hanna M.0 (1981), An iterative boundary numerical solution for general steady heat conduction problems.Transaction of ASME, Journal of Heat Transfer,vol 103,pp 26–31
Bialecki R.,Nahlik R. (198 7) Linear equations solver for large block matrices arising in BEM. in present Proceedings
Bjorck A., Dalquist G. (1974) Numerical Methods, Prentice Hall. New York
Zienkiewicz O.C. (197 7) The Finite Element Method,McGraw Hill,London
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© 1987 Springer-Verlag Berlin Heidelberg
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Bialecki, R. (1987). Nonlinear Equations Solver for Large Equations Sets Arising When Using BEM in Inhomogenous Regions of Nonlinear Material. In: Brebbia, C.A., Wendland, W.L., Kuhn, G. (eds) Mathematical and Computational Aspects. Boundary Elements IX, vol 9/1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21908-9_33
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DOI: https://doi.org/10.1007/978-3-662-21908-9_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-21910-2
Online ISBN: 978-3-662-21908-9
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