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

Journal of Computational Physics

Volumn 227, Issue 9, 2008, Pages 4478-4485

  Haughton, D M ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

73C; 73G; 73H; Bifurcation; Compound matrices; Eigenfunctions; Non linear elasticity; Stability

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; ELASTICITY; FLUID MECHANICS; MATRIX ALGEBRA;

73C; 73G; 73H; BIFURCATION; BIFURCATION PROBLEM; COMPOUND MATRICES; EIGEN-VALUE; FOURTH-ORDER SYSTEM; MATRIX METHODS; NONLINEAR ELASTICITY;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 40849117954     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.01.003     Document Type: Article

References (7)

1. Ng B.S., and Reid W.H. An initial value method for eigenvalue problems using compound matrices. Journal of Computational Physics 30 (1979) 125-136
2. Ng B.S., and Reid W.H. A numerical method for linear two-point boundary-value problems using compound matrices. Journal of Computational Physics 33 (1979) 70-85
3. Straughan B., and Walker D.W. Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. Journal of Computational Physics 127 (1996) 128-141
4. Haughton D.M., and Ogden R.W. Bifurcation of inflated circular cylinders of elastic material under axial loading. II. Exact theory for thick-walled cylinders. Journal of the Mechanics and Physics of Solids 27 (1979) 489-512
5. Haughton D.M., and Orr A. On the e-version of compressible elastic cylinders. International Journal of Solids and Structures 34 (1997) 1893-1914
6. Dorfmann A., and Haughton D.M. Stability and bifurcation of compressed elastic cylindrical tubes. International Journal of Engineering Science 44 (2006) 1353-1365
7. Amar M.B., and Goriely A. Growth and instability in elastic tissues. Journal of the Mechanics and Physics of Solids 53 (2005) 2284-2319