Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity - I. Fourth order systems

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

Citing 1
Cited 1

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

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Abstract

We show how the compound matrix method can be used to produce eigenfunctions as well as eigenvalues for bifurcation problems in non-linear elasticity. For typical problems in elasticity the boundary conditions require a different treatment to that required for typical problems in fluid mechanics. For elasticity problems we have to use an additional shooting method to ensure that the boundary conditions are satisfied.