ANALYSIS OF THE BENDING OF A NEO-HOOKEAN ELECTRO-ELASTIC SHELL OF ARBITRARY THICKNESS UNDER AN EXTERNALLY-APPLIED HYDROSTATIC PRESSURE

Omid Teymoori; Ali Hatami

doi:10.1590/1679-78256692

ANALYSIS OF THE BENDING OF A NEO-HOOKEAN ELECTRO-ELASTIC SHELL OF ARBITRARY THICKNESS UNDER AN EXTERNALLY-APPLIED HYDROSTATIC PRESSURE

Authors

Omid Teymoori Department of Mathematics, Statistics and Computer Sciences, University of Sistan and Baluchestan, Zahedan, Iran https://orcid.org/0000-0002-9496-2811
Ali Hatami Department of Mathematics, Statistics and Computer Sciences, University of Sistan and Baluchestan, Zahedan, Iran https://orcid.org/0000-0001-7546-6209

DOI:

https://doi.org/10.1590/1679-78256692

Abstract

‎ THE PRESENT STUDY ANALYZES THE BENDING OF A SIMPLE ELECTRO-ELASTIC CYLINDRICAL SHELL BY THE COMPOUND MATRIX METHOD‎. THE CROSS-SECTION OF THE CIRCULAR CYLINDRICAL SHELL IS A NON-CIRCULAR CURVED SHAPE‎, ‎WITH A FUNCTION OF AND THE MODE NUMBER‎, ‎WHERE AND ARE THE PRE-DEFORMATION INNER AND OUTER RADII OF THE CYLINDRICAL SHELL‎, ‎AND IS THE RATIO OF THE DEFORMED INNER RADIUS TO ‎. ‎IN THE FIRST STEP‎, ‎A NUMERICAL MODEL OF THE PROBLEM IS DEVELOPED TO OBTAIN SPECIFIC DIFFERENTIAL EQUATIONS‎. ‎THE MODELING YIELDS A SYSTEM OF TWO ORDINARY DIFFERENTIAL EQUATIONS WITH THREE BOUNDARY CONDITIONS OF THE SAME TYPE‎. ‎NEXT‎, ‎IT IS SHOWN THAT THE DEPENDENCE OF TO HAS A BOUNDARY LAYER STRUCTURE‎. ‎SIMPLE NUMERICAL OBSERVATIONS WERE MADE FOR BIFURCATION CONDITIONS‎. ‎THE ANALYSIS IS‎, ‎IN FACT‎, ‎BASED ON THE VARIATIONS OF THE INNER AND OUTER RADII AND ‎, ‎ASSUMING AND , ‎AND BASED ON THE BIFURCATION OF AND RATIOS WITH RESPECT TO RADIUS‎. ‎FOR THIS PURPOSE‎, ‎THE COMPOUND MATRIX METHOD IS USED TO SHOW THE VALIDITY OF THE ARGUMENTS‎.

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Published

2021-11-22

Issue

Vol. 19 No. 1 (2022)

Section

Articles

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