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

✍ Scribed by D.M. Haughton

• Book ID: 104021765
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 156 KB
• Volume: 227
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2008.01.003

✦ Synopsis

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.