Reissner mixed variational theorem-based finite cylindrical layer methods for the static analysis of functionally graded piezoelectric circular hollow cylinders under electro-mechanical loads

Chih-Ping Wu, Chun Cheng

Research output: Contribution to journalArticle

Abstract

A unified formulation of Reissner's mixed variational theorem-based finite cylindrical layer methods is developed for the static analysis of simply-supported, multilayered functionally graded piezoelectric material (FGPM) circular hollow cylinders. The material properties of the cylinder are assumed to obey an exponent-law exponentially varying through the thickness coordinate of this. The trigonometric functions and Lagrange polynomials are used to interpolate the in-surface and thickness variations of the primary variables of each individual layer, respectively. The coupled electro-elastic effects on the static behaviors of multilayered FGPM cylinders are closely examined.

Original languageEnglish
Pages (from-to)668-673
Number of pages6
JournalMechanics of Advanced Materials and Structures
Volume24
Issue number8
DOIs
Publication statusPublished - 2017 Jun 11

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Piezoelectric Material
Functionally graded materials
Piezoelectric materials
Static analysis
Circular Cylinder
Static Analysis
Circular cylinders
Lagrange's polynomial
Circular function
Theorem
Material Properties
Materials properties
Interpolate
Exponent
Polynomials
Formulation

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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AB - A unified formulation of Reissner's mixed variational theorem-based finite cylindrical layer methods is developed for the static analysis of simply-supported, multilayered functionally graded piezoelectric material (FGPM) circular hollow cylinders. The material properties of the cylinder are assumed to obey an exponent-law exponentially varying through the thickness coordinate of this. The trigonometric functions and Lagrange polynomials are used to interpolate the in-surface and thickness variations of the primary variables of each individual layer, respectively. The coupled electro-elastic effects on the static behaviors of multilayered FGPM cylinders are closely examined.

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