Bending Analysis of Different Types of Non-Homogenous Viscoelastic Sandwich Plates

The bending analysis of homogenous and non-homogenous sandwich plates is investigated using classical thin plate theory. Two types of homogenous and non-homogenous sandwich plates are considered. The case of the first type is made of viscoelastic material while the faces have elastic properties and vice versa for the second type. Young’s modulus is assumed to be a function of the thickness while Poisson’s ratio is assumed to be a constant. The method of effective moduli and Illyushin’s approximation method are used to solve the governing equations for bending of simply supported viscoelastic sandwich plates. Numerical computations were carried out and the results show how the stresses change with time: Comparison between the behavior of stresses with various parameters for homogenous and non-homogenous viscoelastic sandwich plates are presented.

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Publication Details

Journal
Journal of Applied Mathematics and Physics
Published
2025-01-01
DOI
https://doi.org/10.4236/jamp.2025.133041
Citations
1
Primary Topic
Composite Structure Analysis and Optimization
Type
article
Field-Weighted Citation Impact
0.86
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article

Bending Analysis of Different Types of Non-Homogenous Viscoelastic Sandwich Plates

H. F. El-Mekawy, Ashraf M. Zenkour, M.A. Hilal
1 citations
Journal of Applied Mathematics and Physics
Composite Structure Analysis and Optimization
0.86
article

Bending Analysis of Different Types of Non-Homogenous Viscoelastic Sandwich Plates

H. F. El-Mekawy, Ashraf M. Zenkour, M.A. Hilal
article en
1 citations

Abstract

The bending analysis of homogenous and non-homogenous sandwich plates is investigated using classical thin plate theory. Two types of homogenous and non-homogenous sandwich plates are considered. The case of the first type is made of viscoelastic material while the faces have elastic properties and vice versa for the second type. Young’s modulus is assumed to be a function of the thickness while Poisson’s ratio is assumed to be a constant. The method of effective moduli and Illyushin’s approximation method are used to solve the governing equations for bending of simply supported viscoelastic sandwich plates. Numerical computations were carried out and the results show how the stresses change with time: Comparison between the behavior of stresses with various parameters for homogenous and non-homogenous viscoelastic sandwich plates are presented.

Journal of Applied Mathematics and PhysicsVol. 13(03)
Climate action
Openalex Percentile: Top 33%
Composite Structure Analysis and Optimization
0.86
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