Stability Analysis of an Inflated, Axially Extended, Residually Stressed Circular Cylindrical Tube
Melnikov A. Merodio J.
2023Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2023#9Issue 3834 - 847 pp.
Residual stress may have an important influence on the mechanical response of residually stressed materials. This paper is concerned with the effects of residual stress on the stability of inflated, axially extended, residually stressed circular cylindrical tube. To this end, the theory of small incremental deformations superimposed on a large underlying finite deformation is used. Asymmetric and axisymmetric types of bifurcation are considered. It is found that for residual stress parameter ˆγ of the same sign the effect of the residual stress is different depending on the type of bifurcation. For example, for asymmetric bifurcations with mode number m = 1 and with positive ˆγ inclusion of residual stress makes the tube more stable, on the other hand, for axisymmetric bifurcations inclusion of residual stress, corresponding to positive residual stress parameter ˆγ, leads to increase of instabilities. In all cases, residual stress with positive and negative residual stress parameter ˆγ leads to a symmetric character of bifurcation curves
Incremental elastic deformations , Nonlinear elasticity , Residual stresses , Tube bifurcation
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Department of Mathematics, Nazarbayev University, Kabanbay Batyr Ave. 53, Astana, 010000, Kazakhstan
Departamento de Matemática Aplicada a las TIC, ETS de Ingeniería de Sistemas Informáticos, Universidad Politécnica de Madrid, Madrid, 28031, Spain
Department of Mathematics
Departamento de Matemática Aplicada a las TIC
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