Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

507-516


DOI

Article

Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load

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Authors

Cheng Chen Affiliation:
School of Civil Engineering and Architecture, Hunan Institute of Technology, Hengyang, 421000, China
and Hamdy Mohamed Affiliation:
College of Engineering, Applied Science University, Bahrain


Abstract

With the help of fractional differential equations, this article studies the failure morphology, fatigue strength, and fatigue life of corroded reinforced concrete beams under fatigue loading. Studies have shown that the mid-span deflection of low-corrosion reinforced concrete beams is smaller than that of uncorroded reinforced concrete beams. The corrosion-fatigue coupling effect accelerates the fatigue crack growth rate of steel bars. This reduces the fatigue modulus of concrete and causes the stiffness of the beam to degrade. The research results provide a theoretical basis for the fatigue performance evaluation of corroded reinforced concrete beams.


Keywords

Reinforced concrete, Fractional differential equation, Corrosion, Restoring force model, Fatigue load, 74A10


Citation

Chen, C. & Mohamed, H. (2022). Optimal solution of the fractional differential equation to solve the bending performance test of corroded reinforced concrete beams under prestressed fatigue load. Applied Mathematics and Nonlinear Sciences, 7(2), 507–516. https://doi.org/10.2478/amns.2022.2.0035
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