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Three-dimensional analysis of functionally graded plate based on the Haar wavelet method

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Abstract

A three-dimensional analysis of a simply-supported functionally graded rectangular plate with an arbitrary distribution of material properties is made using a simple and effective method based on the Haar wavelet. With good features in treating singularities, Haar series solution converges rapidly for arbitrary distributions, especially for the case where the material properties change rapidly in some regions. Through numerical examples the influences of the ratio of material constants on the top and bottom surfaces and different material gradient distributions on the structural response of the plate to mechanical stimuli are studied.

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied mechanics, Tongji University, Shanghai, 200092, China

    Chun Zhang & Zheng Zhong

  2. School of Civil Engineering and Architecture, Nanchang University, Nanchang, 330031, China

    Chun Zhang

Authors
  1. Chun Zhang
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  2. Zheng Zhong
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Additional information

Project supported by the National Natural Sciences Foundation of China (No. 10432030).

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Zhang, C., Zhong, Z. Three-dimensional analysis of functionally graded plate based on the Haar wavelet method. Acta Mech. Solida Sin. 20, 95–102 (2007). https://doi.org/10.1007/s10338-007-0711-3

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  • DOI: https://doi.org/10.1007/s10338-007-0711-3

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