Abstract
In this case study we analyze the Rivlin cube, a bifurcation problem introduced in Chapter XI. Our purpose there was to illustrate the phenomenon of spontaneous symmetry-breaking and to describe the kinds of results that can be obtained by a singularity-theoretic analysis. This case study has a different aim: to present complete calculations supporting the singularity theory analysis of a specific bifurcation problem. The Rivlin cube is an ideal example since the calculations are tractable. This case study has been written so as to be independent of Chapter XI.
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© 1988 Springer-Verlag New York, Inc.
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Golubitsky, M., Stewart, I., Schaeffer, D.G. (1988). The Traction Problem for Mooney—Rivlin Material. In: Singularities and Groups in Bifurcation Theory. Applied Mathematical Sciences, vol 69. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4574-2_7
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DOI: https://doi.org/10.1007/978-1-4612-4574-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8929-6
Online ISBN: 978-1-4612-4574-2
eBook Packages: Springer Book Archive