Innovative Efficient Element for Analysis of FGM Plates Using FEM

Document Type : Research Papers

Authors

1 M.Sc., Researcher, School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran.

2 Professor, School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran.

3 M.Sc., Researcher, School of Civil Engineering, Clarkson, Potsdam, USA.

4 M.Sc., Researcher, School of Civil Engineering, Polytechnic University of Catalonia (UPC), Barcelona, Spain.

Abstract

In order to obtain accurate results from displacement-based Finite Element Method (FEM), it is crucial to introduce accurate shape functions that interpolate the displacement field within an element. This paper attempts to provide such a new component by using Finite Element method using Basic Displacement Function (BDFs) for the free vibration analysis of plates with in-plane Functionally Graded Material (FGM). The first step is to introduce displacement functions and compute them using the energy method. Later, new shape functions are developed based on stiffness and force methods used to model the mechanical behavior of the element, wherein the shape functions benefit from the generality and accuracy of the stiffness and force methods. Last, the plate is analyzed using Finite Element method to derive the structural matrices from new shape functions. Several numerical examples demonstrate the accuracy and efficiency of the method, and a special material graded index named Ns is introduced.

Keywords

References

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Civil Engineering Infrastructures Journal
Volume 56, Issue 1
June 2023
Pages 205-219

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History

  • Receive Date: 29 January 2021
  • Revise Date: 04 December 2021
  • Accept Date: 04 December 2021

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