Bifurcation analysis of elastic residually-stressed circular cylindrical tubes

• Published in: International journal of solids and structures Vol. 226-227; p. 111062
• Main Authors: Melnikov, Andrey, Ogden, Ray W., Dorfmann, Luis, Merodio, José
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.09.2021; Elsevier BV
• Subjects: Axial loads; Bifurcation theory; Boundary conditions; Elastic analysis; Elastic deformation; External pressure; Incremental elastic deformations; Nonlinear elasticity; Parameters; Residual stress; Residual stresses; Strain; Tube bifurcation; Tubes; Residual stresses; Nonlinear elasticity; Tube bifurcation; Incremental elastic deformations

The theory of superimposed incremental elastic deformations is applied to a deformed configuration of a residually-stressed circular cylindrical tube. The tube is subject to internal or external pressure and an axial load that maintain its circular cylindrical shape, and then bifurcations from this...