Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure

Yunfei Zhu (1) , Xiaoyu Luo (1) , Raymond W. Ogden (2)

1 University of Glasgow
2 Departments of Mathematics

In this paper, we consider bifurcation from a circular cylindrical deformed configuration of a thick-walled circular cylindrical tube of incompressible isotropic elastic material subject to combined axial loading and external pressure. In particular , we examine both axisymmetric and asymmetric modes of bifurcation. The analysis is based on the three-dimensional incremental equilibrium equations, which are derived and then solved numerically for a specific material model using the Adams–Moulton method. We assess the effects of wall thickness and the ratio of length to (external) radius on the bifur-cation behaviour.

Mots clés: Elastic tube; Finite deformation; Bifurcation; Elastic stability

Domaines: Mécanique [physics.med-ph]

Yunfei Zhu, Xiaoyu Luo, Raymond W. Ogden. Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. International Journal of Solids and Structures, 2008, 45 (11-12), pp.3410-3429. ⟨10.1016/j.ijsolstr.2008.02.005⟩. ⟨hal-01303325⟩