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Structural Engineering and Mechanics Volume 71, Number 1, July10 2019 , pages 89-98 DOI: https://doi.org/10.12989/sem.2019.71.1.089 |
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Effects of porosity models on static behavior of size dependent functionally graded beam |
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Mostafa A. Hamed, Ayman M. Sadoun and Mohamed A. Eltaher
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| Abstract | ||
| In this study, the mechanical bending behaviors of functionally graded porous nanobeams are investigated. Four types of porosity which are, the classical power porosity function, the symmetric with mid-plane cosine function, bottom surface distribution and top surface distribution are proposed in analysis of nanobeam for the first time. A comparison between four types of porosity are illustrated. The effect of nano-scale is described by the differential nonlocal continuum theory of Eringen by adding the length scale into the constitutive equations as a material parameter comprising information about nanoscopic forces and its interactions. The graded material is designated by a power function through the thickness of nanobeam. The beam is simply-supported and is assumed to be thin, and hence, the kinematic assumptions of Euler-Bernoulli beam theory are held. The mathematical model is solved numerically using the finite element method. Numerical results show effects of porosity type, material graduation, and nanoscale parameters on the static deflection of nanobeam. | ||
| Key Words | ||
| porosity models; static bending; functionally graded beam; nonlocal elasticity; finite element method | ||
| Address | ||
| Mostafa A. Hamed, Ayman M. Sadoun and Mohamed A. Eltaher:Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia Ayman M. Sadoun and Mohamed A.: Mechanical Design & Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt | ||