Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity - II. Sixth order systems

Authors:
D. M. Haughton
Affiliations:
Department of Mathematics, University of Glasgow, University Avenue, Glasgow G12 8QW, UK
Venue:
Journal of Computational Physics
Year:
2008

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Abstract

We show how the compound matrix method can be extended to give eigenfunctions as well as eigenvalues to bifurcation problems in non-linear elasticity. The non-trivial boundary conditions create some difficulties and we find that sixth order systems for elasticity problems will require a shooting method for two functions of two unknown parameters over and above the calculations required for comparable problems in fluids.