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Analysis of the Functionally Step-Variable Graded Plate Under In-Plane Compression.

Leszek Czechowski1, Zbigniew Kołakowski1

  • 1Department of Strength of Materials, Lodz University of Technology, 90-924 Lodz, Poland.

Materials (Basel, Switzerland)
|December 11, 2019
PubMed
Summary
This summary is machine-generated.

This study analyzes the buckling behavior of ceramic and functionally graded material (FGM) plates. Findings reveal how material composition and layering affect structural stability under load.

Keywords:
asymptotic Koiter’s theorybucklingceramicsfinite element methodfunctionally graded materials

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Structural Analysis

Background:

  • Functionally Graded Materials (FGMs) offer tunable properties by varying composition across thickness.
  • Understanding the pre- and post-buckling behavior of layered ceramic and FGM plates is crucial for structural design.
  • Existing theoretical models often assume continuous property variation, differing from real-world layered structures.

Purpose of the Study:

  • To investigate the buckling and post-buckling response of square plates made from FGMs and pure ceramics.
  • To analyze the impact of ceramic content and the number of layers in step-variable FGMs on plate stability.
  • To compare critical forces and post-critical equilibrium paths for various material distributions and boundary conditions.

Main Methods:

  • Utilized the finite element method (FEM) for numerical analysis.
  • Applied asymptotic nonlinear Koiter's theory to capture post-buckling phenomena.
  • Investigated plates with a finite number of layers exhibiting step-variable mechanical properties.

Main Results:

  • Quantified the influence of ceramic content on the buckling load and post-critical behavior.
  • Determined the effect of the number of finite layers in FGMs on the structural response.
  • Presented comparisons of critical forces and equilibrium paths across different configurations.

Conclusions:

  • The study provides insights into the complex buckling and post-buckling mechanics of layered ceramic and FGM plates.
  • Results highlight the significant role of material gradation and layering strategy in determining structural integrity.
  • The findings are valuable for designing advanced composite structures with tailored mechanical properties.