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CFD Settings and Verification and Validation for the Performance Prediction of a Generic Standalone Flettner Rotor and Rigid Wing.
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Numerical Analysis of the Interaction of Monochromatic Waves With a Semi-Enclosed, Rectangular, Surface-Piercing Cavity
Get PDFStability in the Sense of Hyers-Ulam of Proportional Fractional Stochastic Integral Equations
Get PDFThis work investigates the existence, uniqueness, and stability in the sense of Hyers-Ulam for a class of proportional fractional Itô-Doob stochastic integral equations (PFIDSIE). To establish these properties, we employ the Banach fixed point theorem (BFPT) in combination with several fundamental mathematical inequalities that provide insight into the structure of PFIDSIEs. The approach is structured to demonstrate not only the theoretical foundation of the existence and uniqueness of solutions but also the stability of these solutions in the Hyers-Ulam sense, which ensures that approximate solutions remain close to the exact solution under small perturbations. The results contribute to the broader field of fractional stochastic differential equations, particularly in situations where fractional dynamics and stochastic processes intersect. Furthermore, the findings are illustrated through three examples, showcasing the applicability and utility of the developed theory in practical settings.OPEN ACCESS Received: 29/01/2025 Accepted: 14/03/2025 Published: 20/04/202
Evaluation of conventional behavior of bitumen containing PET plastic and HMA pavement response utilizing 3D-Move analysis software
No full textA well-developed road network provides good services for road consumers. Most roads in the world are flexible types of pavement. Bitumen has viscous-elastic properties and is very sensitive to temperature; it plays a vital role in producing hot mix asphalt and influences the performance of HMA pavement. Flexible pavements are linked to extreme temperatures, causing rutting and fatigue cracking. Pavement distress shortens service life and increases maintenance costs. This research focused on improving pavement resistance to distress by modifying the conventional properties of bitumen using alternative materials such as shredded PET plastic. In this study, two stages were applied. The first stage was collecting samples, and the second stage determined the conventional properties of bitumen by adding 3%, 6%, and 9% of shredded PET plastic to the bitumen. Penetration, ductility, and softening point tests were performed to analyze the conventional behavior of bitumen. Finally, top-down and bottom-up cracks are used to evaluate rutting damage, with 3D-Move analysis software that accounts for moving vehicles under various loads and speeds. From the conventional bitumen test, at 3% PET plastic added to the bitumen has no significant effect on the penetration grade, Ductility, and softening point. However, when 6% and 9% PET by weight of bitumen mixed, the penetration grade, ductility, and softening result become 49.3mm, 45.5mm, 97mm, 85mm, and 57mm and 62oC, respectively compared with the penetration grade, ductility, and softening point value of unmodified bitumen (66.5mm, 142cm, and 48.9oC). Besides, the 3D-Move Analysis software results show that asphalt binders with higher PET plastic content best resist the rutting damage, top-down, and bottom cracks
Buckling of circular cylindrical shells under in-plane and/or pressure loads
No full textThis work presents a semi-analytical approach to calculate rapidly but accurately the buckling onset of metallic and composite circular cylindrical shells with various boundary conditions under in-plane and/or pressure loads by the Rayleigh-Ritz method. Results are compared with analytical solutions and detailed finite element models reported in the literature. The proposed approach allows a quick buckling analysis of circular cylindrical shells, which makes it an ideal candidate to be used as part of an optimization scheme and/or to reduce potentially the number of detailed finite element models employed in the early design phases
