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The Signorini perturbation scheme in an abstract setting

Published online by Cambridge University Press:  14 November 2011

D. R. J. Chillingworth
D. R. J. Chillingworth
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO9 5NH, UK
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Synopsis

The Signorini perturbation scheme is a series expansion algorithm that locates solution branches for a class of symmetry-breaking bifurcation problems in nonlinear elastostatics. The relationship of the formal steps in the algorithm to geometric aspects of the problem is brought out in work of J. E. Marsden and Y.-H. Wan, where an abstract formulation is also considered. In this paper, the abstract algorithm and its geometry are explored further: the logical structure is clarified, and it is shown how the scheme adapts to the presence of additional symmetry constraints.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 3-4 , 1991 , pp. 373 - 395
Copyright
Copyright © Royal Society of Edinburgh 1991

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