A semianalytical finite element method for stress and deformation analyses of bi-directional functionally graded truncated conical shells

Chih-Ping Wu, Hao Yang Huang

Research output: Contribution to journalArticle

Abstract

On the basis of Reissner’s mixed variational theorem, the authors develop a semianalytical finite annular prism method (FAPM) for three-dimensional (3D) stress and deformation analyses of bi-directional functionally graded (FG) truncated conical shells with various boundary conditions subjected to either uniformly or sinusoidally distributed loads. The material properties of the FG-truncated conical shell are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the meridian–thickness surface, the effective material properties of which are estimated using the rule of mixtures. Implementation of the current FAPMs shows their solutions converge rapidly and that the convergent solutions are in excellent agreement with the 3D solutions available in the literature. Communicated by Eleonora Tubaldi.

Original languageEnglish
JournalMechanics Based Design of Structures and Machines
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

conical shells
Semi-analytical Method
Material Properties
Shell
finite element method
Finite Element Method
Finite element method
Effective Properties
Materials properties
Power-law Distribution
Prism
Volume Fraction
Prisms
Converge
Boundary conditions
Three-dimensional
prisms
Volume fraction
theorems
Theorem

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Mathematics(all)
  • Automotive Engineering
  • Aerospace Engineering
  • Condensed Matter Physics
  • Ocean Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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AB - On the basis of Reissner’s mixed variational theorem, the authors develop a semianalytical finite annular prism method (FAPM) for three-dimensional (3D) stress and deformation analyses of bi-directional functionally graded (FG) truncated conical shells with various boundary conditions subjected to either uniformly or sinusoidally distributed loads. The material properties of the FG-truncated conical shell are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the meridian–thickness surface, the effective material properties of which are estimated using the rule of mixtures. Implementation of the current FAPMs shows their solutions converge rapidly and that the convergent solutions are in excellent agreement with the 3D solutions available in the literature. Communicated by Eleonora Tubaldi.

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