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Analysis of Stress Concentration in Functionally Graded Plates with Linearly Increasing Young's Modulus
Hassan Mohamed Abdelalim Abdalla1, Daniele Casagrande1, Francesco De Bona1
1Polytechnic Department of Engineering and Architecture, University of Udine, Via delle Scienze 206, 33100 Udine, Italy.
Materials (Basel, Switzerland)
|November 14, 2023
Summary
This study analyzes stress and strain in functionally graded plates with circular holes under tension. A linear variation in Young
Area of Science:
- Solid Mechanics
- Materials Science
- Plate Theory
Background:
- Functionally graded materials (FGMs) offer tunable properties.
- Circular holes in plates can concentrate stress.
- Understanding material behavior under load is crucial for structural integrity.
Purpose of the Study:
- To analytically investigate strain and stress fields in functionally graded plates with circular holes.
- To consider a linear variation of Young's modulus along the radial direction.
- To compare results with other Young's modulus distributions.
Main Methods:
- Analytical treatment of plane stress elasticity equations.
- Numerical analysis of displacement, strain, and stress fields.
- Parametric study based on stiffness ratios.
Main Results:
- Detailed strain and stress distributions around the circular hole were obtained.
- The influence of linear Young's modulus variation on elastic fields was quantified.
- Comparison with non-linear and uniform Young's modulus distributions was performed.
Conclusions:
- Linear inhomogeneity provides a simplified manufacturing route for FGMs.
- The study addresses a gap in the literature regarding linearly varying stiffness.
- Results offer insights into the mechanical behavior of FGMs with specific material gradients.
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