A COMPLETE SET OF EQUATIONS FOR PIEZO-MAGNETO-ELASTIC ANALYSIS OF A FUNCTIONALLY GRADED THICK SHELL OF REVOLUTION

Authors

  • MOHAMMAD AREFI ASSISTANT PROFESSOR OF MECHANICAL ENGINEERING, DEPARTMENT OF MECHANICAL ENGINEERING, UNIVERSITY OF KASHAN, KASHAN, IRAN, 87317-51167

Keywords:

ELASTIC ANALYSIS, VARIABLE, PRESSURE, CYLINDER, FIRST ORDER SHEAR DEFORMATION THEORY

Abstract

TENSOR ANALYSIS AND AN ORTHOGONAL CURVILINEAR COORDINATE SYSTEM HAVE BEEN USED TO DERIVE A COMPLETE SET OF EQUATIONS FOR PIEZO-MAGNETO-ELASTIC ANALYSIS OF A FUNCTIONALLY GRADED THICK SHELL OF REVOLUTION WITH VARIABLE THICKNESS AND CURVATURE. THE MENTIONED STRUCTURE CAN BE SUBJECTED TO ELECTRIC AND MAGNETIC FIELDS. IT WAS ASSUMED THAT MATERIAL PROPERTIES CHANGE FUNCTIONALLY THROUGHOUT THE THREE AXIS OF EMPLOYED COORDINATE SYSTEM. KINETIC AND POTENTIAL ENERGIES OF THE SYSTEM HAVE BEEN EVALUATED IN ORDER TO CONSTITUTE THE FUNCTIONAL OF THE SYSTEM. FINAL PARTIAL DIFFERENTIAL EQUATIONS OF THE SYSTEM HAVE BEEN DERIVED BY USING MINIMIZATION OF THE ENERGY FUNCTIONAL WITH RESPECT TO FIVE EMPLOYED FUNCTIONS OF THE SYSTEM. FOR VALIDATION, THE OBTAINED DIFFERENTIAL EQUATIONS HAVE BEEN REDUCED TO TWO PREVIOUSLY STUDIED PROBLEMS I.E. FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS AND FUNCTIONALLY GRADED PIEZO-MAGNETIC CYLINDERS

Downloads

Published

2014-08-06

Issue

Vol. 11 No. 11 (2014)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).