Abstract
In this paper, we focus on the bending behavior of isotropic doubly-curved nanoshells based on a high-order shear deformation theory, whose shape functions are selected as an accurate combination of exponential and trigonometric functions instead of the classical polynomial functions. The small-scale effect of the nanostructure is modeled according to the differential law consequent, but is not equivalent to the strain-driven nonlocal integral theory of elasticity equipped with Helmholtz’s averaging kernel. The governing equations of the problem are obtained from the Hamilton’s principle, whereas the Navier’s series are proposed for a closed form solution of the structural problem involving simply-supported nanostructures. The work provides a unified framework for the bending study of both thin and thick symmetric doubly-curved shallow and deep nanoshells, while investigating spherical and cylindrical panels subjected to a point or a sinusoidal loading condition. The effect of several parameters, such as the nonlocal parameter, as well as the mechanical and geometrical properties, is investigated on the bending deflection of isotropic doubly-curved shallow and deep nanoshells. The numerical results from our investigation could be considered as valid benchmarks in the literature for possible further analyses of doubly-curved applications in nanotechnology.
Highlights
Doubly-curved shells are three-dimensional structures, commonly used in many engineering applications, such as aerospace structures, airplane vehicles, or big constructions such as stadium cupolas
Based on the available literature, several theories have been developed to handle the mechanical behavior of complex shell structures, namely, the 3D elasticity [1,2,3], the Equivalent Single Layer (ESL) theories [4,5,6,7], and the Layer Wise (LW) [8,9,10,11] theories
This is explored for isotropic doubly-curved nanoshells, where we propose a novel nonlocal shear deformation theory, based on a combination of exponential and trigonometric functions
Summary
Doubly-curved shells are three-dimensional structures, commonly used in many engineering applications, such as aerospace structures, airplane vehicles, or big constructions such as stadium cupolas. Proposed a novel HSDT to investigate the static and dynamic response of laminated composite and sandwich plates and shells with different geometries They considered the transverse shear strain field throughout the thickness, along with the tangential stress-free boundary conditions on the shell surface. Based on the available literature, limited attention has been paid to the nonlocal mechanical behavior of symmetric doubly-curved deep nanoshells This is explored for isotropic doubly-curved nanoshells, where we propose a novel nonlocal shear deformation theory, based on a combination of exponential and trigonometric functions. The main conclusive remarks are discussed in the last section, which could be of great interest for scientists and designers for many practical applications
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
