### Abstract

A Reissner mixed variational theorem (RMVT)-based third-order shear deformation theory (TSDT) is developed for the static analysis of simply-supported, multilayered functionally graded material (FGM) plates under mechanical loads. The material properties of the FGM layers are assumed to obey either the exponent-law distributions through the thickness coordinate or the power-law distributions of the volume fractions of the constituents. In this theory, Reddy's third-order displacement model and the layerwise parabolic function distributions of transverse shear stresses are assumed in the kinematic and kinetic fields, respectively, a priori, where the effect of transverse normal stress is regarded as minor and thus ignored. The continuity conditions of both transverse shear stresses and elastic displacements at the interfaces between adjacent layers are then exactly satisfied in this RMVT-based TSDT. On the basis of RMVT, a set of Euler-Lagrange equations associated with the possible boundary conditions is derived. In conjunction with the method of variable separation and Fourier series expansion, this theory is successfully applied to the static analysis of simply-supported, multilayered FGM plates under mechanical loads. A parametric study of the effects of the material-property gradient index and the span-thickness ratio on the displacement and stress components induced in the plates is undertaken.

Original language | English |
---|---|

Pages (from-to) | 2591-2605 |

Number of pages | 15 |

Journal | Composite Structures |

Volume | 92 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2010 Sep 1 |

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### All Science Journal Classification (ASJC) codes

- Ceramics and Composites
- Civil and Structural Engineering

### Cite this

*Composite Structures*,

*92*(10), 2591-2605. https://doi.org/10.1016/j.compstruct.2010.01.022

}

*Composite Structures*, vol. 92, no. 10, pp. 2591-2605. https://doi.org/10.1016/j.compstruct.2010.01.022

**An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates.** / Wu, Chih-Ping; Li, Hao Yuan.

Research output: Contribution to journal › Article

TY - JOUR

T1 - An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates

AU - Wu, Chih-Ping

AU - Li, Hao Yuan

PY - 2010/9/1

Y1 - 2010/9/1

N2 - A Reissner mixed variational theorem (RMVT)-based third-order shear deformation theory (TSDT) is developed for the static analysis of simply-supported, multilayered functionally graded material (FGM) plates under mechanical loads. The material properties of the FGM layers are assumed to obey either the exponent-law distributions through the thickness coordinate or the power-law distributions of the volume fractions of the constituents. In this theory, Reddy's third-order displacement model and the layerwise parabolic function distributions of transverse shear stresses are assumed in the kinematic and kinetic fields, respectively, a priori, where the effect of transverse normal stress is regarded as minor and thus ignored. The continuity conditions of both transverse shear stresses and elastic displacements at the interfaces between adjacent layers are then exactly satisfied in this RMVT-based TSDT. On the basis of RMVT, a set of Euler-Lagrange equations associated with the possible boundary conditions is derived. In conjunction with the method of variable separation and Fourier series expansion, this theory is successfully applied to the static analysis of simply-supported, multilayered FGM plates under mechanical loads. A parametric study of the effects of the material-property gradient index and the span-thickness ratio on the displacement and stress components induced in the plates is undertaken.

AB - A Reissner mixed variational theorem (RMVT)-based third-order shear deformation theory (TSDT) is developed for the static analysis of simply-supported, multilayered functionally graded material (FGM) plates under mechanical loads. The material properties of the FGM layers are assumed to obey either the exponent-law distributions through the thickness coordinate or the power-law distributions of the volume fractions of the constituents. In this theory, Reddy's third-order displacement model and the layerwise parabolic function distributions of transverse shear stresses are assumed in the kinematic and kinetic fields, respectively, a priori, where the effect of transverse normal stress is regarded as minor and thus ignored. The continuity conditions of both transverse shear stresses and elastic displacements at the interfaces between adjacent layers are then exactly satisfied in this RMVT-based TSDT. On the basis of RMVT, a set of Euler-Lagrange equations associated with the possible boundary conditions is derived. In conjunction with the method of variable separation and Fourier series expansion, this theory is successfully applied to the static analysis of simply-supported, multilayered FGM plates under mechanical loads. A parametric study of the effects of the material-property gradient index and the span-thickness ratio on the displacement and stress components induced in the plates is undertaken.

UR - http://www.scopus.com/inward/record.url?scp=77952429408&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952429408&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2010.01.022

DO - 10.1016/j.compstruct.2010.01.022

M3 - Article

VL - 92

SP - 2591

EP - 2605

JO - Composite Structures

JF - Composite Structures

SN - 0263-8223

IS - 10

ER -