publication . Article . Other literature type . 2018

Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field

Melnikov, Andrey; Ogden, Raymond W.;
Open Access
  • Published: 04 May 2018 Journal: Zeitschrift für angewandte Mathematik und Physik, volume 69 (issn: 0044-2275, eissn: 1420-9039, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
  • Country: India
This paper is concerned with the bifurcation analysis of a pressurized electroelastic circular cylindrical tube with closed ends and compliant electrodes on its curved boundaries. The theory of small incremental electroelastic deformations superimposed on a finitely deformed electroelastic tube is used to determine those underlying configurations for which the superimposed deformations do not maintain the perfect cylindrical shape of the tube. First, prismatic bifurcations are examined and solutions are obtained which show that for a neo-Hookean electroelastic material prismatic modes of bifurcation become possible under inflation. This result contrasts with tha...
free text keywords: General Physics and Astronomy, Applied Mathematics, General Mathematics, Internal pressure, Rotational symmetry, Cylinder, Mathematical analysis, Force field (chemistry), External pressure, Mathematics, Bifurcation, Electric field, Elasticity (economics)
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