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<p>Functionally graded materials (FGM) have gained significant attention in recent years due to their enhanced mechanical and thermal characteristics compared to their homogeneous counterparts. Several plate theories have been developed to understand the behaviour and analyse the performance of functionally graded plates. However, effective implementation of these theories has been a challenge for researchers. In this paper, a simplified shear deformation model is proposed for bending vibrational and buckling analysis of FG plates. Equations of motion are derived from Lagrange principal and analytical solutions for simply supported rectangular plates are obtained using the Navier Stocks approach. A comparative study has been made with existing equivalent 2D plate theories. The comparison shows that the proposed theory can achieve the results with the same accuracy as existing plate theories even the number of variables are reduced. Also, as all the variables possess the same continuity requirement, it can be expected that this model will be highly suitable and computational cost effective for computer-based numerical methods.</p>

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A novel three-unknown shear deformation model for static, vibrational and buckling analysis of functionally graded plates

  • 期刊论文

  • 发表日期：

    2026年8月5日

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  • Shashank Saurabh,
  • A. K. Sinha

摘要

Functionally graded materials (FGM) have gained significant attention in recent years due to their enhanced mechanical and thermal characteristics compared to their homogeneous counterparts. Several plate theories have been developed to understand the behaviour and analyse the performance of functionally graded plates. However, effective implementation of these theories has been a challenge for researchers. In this paper, a simplified shear deformation model is proposed for bending vibrational and buckling analysis of FG plates. Equations of motion are derived from Lagrange principal and analytical solutions for simply supported rectangular plates are obtained using the Navier Stocks approach. A comparative study has been made with existing equivalent 2D plate theories. The comparison shows that the proposed theory can achieve the results with the same accuracy as existing plate theories even the number of variables are reduced. Also, as all the variables possess the same continuity requirement, it can be expected that this model will be highly suitable and computational cost effective for computer-based numerical methods.