A compressive study for porous FG curved nanobeam under various boundary conditions via a nonlocal strain gradient theory
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Kafrelsheikh University, 33516, Kafrelsheikh, Egypt
3 Department of Mathematics and Statistics, High Institute of Management and Information Technology, Nile for Science and Technology, 33514, Kafrelsheikh, Egypt
Accepted: 16 February 2021
Published online: 22 February 2021
This paper is concerned with the analysis of deflection, stresses, buckling and vibration analysis for a porous functionally graded (FG) curved nanobeam with different boundary conditions using a nonlocal strain gradient theory. The curved nanobeam is made of porous FG material. This property varies according to a power-law function over the thickness. The stresses can be calculated on the basis of the nonlocal strain gradient elasticity model which contains both the nonlocal stress and strain gradients stress field. The Hamilton’s principle is adopted in order to develop differential equation and boundary condition. Numerical results with various cases of boundary conditions are carried out with a view to discuss the influences of porosity factor, nonlocal, length-scale parameters and gradient index on the deflection, stresses, buckling and vibration of porous FG curved nanobeam.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021