Static Analysis of Skew Functionally Graded Plate Using Novel Shear Deformation Theory
Jitendra Singh1, Ajay Kumar1, Małgorzata Szafraniec2
1National Institute of Technology Patna, Patna 800005, India.
Materials (Basel, Switzerland)
|July 9, 2022
Summary
This study analyzes functionally graded material (FGM) plates using a hybrid higher-order shear deformation theory. The research provides insights into how material composition and geometry affect plate stresses and displacements under various loads.
Area of Science:
- Solid Mechanics
- Materials Science
- Computational Engineering
Background:
- Functionally Graded Materials (FGMs) exhibit a gradual variation in material properties, offering advantages over traditional composites.
- Higher-order shear deformation theories are crucial for accurately analyzing the behavior of thin and moderately thick plates.
- Understanding the static response of FGMs is essential for designing advanced structural components.
Purpose of the Study:
- To investigate the static response of functionally graded material (FGM) plates.
- To develop and validate a computational model based on a hybrid higher-order shear deformation theory.
- To analyze the influence of various parameters on the mechanical behavior of FGM plates.
Main Methods:
- Hybrid higher-order shear deformation theory incorporating hyperbolic and polynomial shape functions.
- Mori-Tanaka homogenization scheme and rule of mixtures for determining mechanical properties.
- Development of a C0-continuous finite element (FE) model with nine-node isoparametric elements.
Main Results:
- The developed FE model accurately predicts the static response of FGM plates, showing coherence with existing literature.
- The study analyzed the effects of sinusoidal and uniformly distributed loading.
- Parametric studies revealed the influence of aspect ratio, side-to-thickness ratio, thickness, and volume fraction index on stresses and displacements.
Conclusions:
- The proposed hybrid higher-order shear deformation theory and FE model effectively capture the static behavior of FGM plates.
- The findings highlight the importance of considering material gradient and geometric parameters for optimal FGM plate design.
- The developed in-house MATLAB code provides a valuable tool for future research in FGM analysis.
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