Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position

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• 作者：Hichem Bellifa ; Kouider Halim Benrahou…
• 关键词：Functionally graded plate ; First shear deformation theory ; Neutral surface position
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：38
• 期：1
• 页码：265-275
• 全文大小：940 KB
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• 作者单位：Hichem Bellifa (1)
  Kouider Halim Benrahou (1)
  L. Hadji (1) (2)
  Mohammed Sid Ahmed Houari (3) (4)
  Abdelouahed Tounsi (1) (3) (4)
  
  1. Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
  2. Université Ibn Khaldoun, Zaaroura, BP 78, 14000, Tiaret, Algeria
  3. Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Faculté de Technologie, Département de génie civil, Université de Sidi Bel Abbes, Sidi Bel Abbes, Algérie
  4. Algerian National Thematic Agency of Research in Science and Technology (ATRST), Sidi Bel Abbes, Algeria
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

A new first-order shear deformation theory is developed for bending and dynamic behaviors of functionally graded plates. Moreover, the number of unknowns of this theory is the least one comparing with the traditional first-order and the other higher order shear deformation theories. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. To examine accuracy of the present formulation, several comparison studies are investigated. It can be concluded that the proposed theory is accurate and simple in solving the static bending and free vibration behaviors of functionally graded plates. Keywords Functionally graded plate First shear deformation theory Neutral surface position