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

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.