Abstract
In this study, the stability of cylindrical shells that composed of ceramic, FGM, and metal layers subjected to axial load and resting on Winkler-Pasternak foundations is investigated. Material properties of FGM layer are varied continuously in thickness direction according to a simple power distribution in terms of the ceramic and metal volume fractions. The modified Donnell type stability and compatibility equations on the Pasternak foundation are obtained. Applying Galerkin’s method analytic solutions are obtained for the critical axial load of three-layered cylindrical shells containing an FGM layer with and without elastic foundation. The detailed parametric studies are carried out to study the influences of thickness variations of the FGM layer, radius-to-thickness ratio, material composition and material profile index, Winkler and Pasternak foundations on the critical axial load of three-layered cylindrical shells. Comparing results with those in the literature validates the present analysis.
Highlights
Graded materials (FGM) are characterized by a gradual change in properties within the specimen as a function of the position coordinates
When the above assumptions are taken into consideration, the modified Donnell type stability and compatibility equations of composite cylindrical shells that composed of ceramic, Functionally graded materials (FGM), and metal layers, subjected axial compressive load and resting on the Pasternak foundation are given, respectively by
Z k1 dz a Equation (15) is the basic differential equations for the vibration and stability of generic composite cylindrical shells containing an FGM layer resting on a Pasternak foundation
Summary
Graded materials (FGM) are characterized by a gradual change in properties within the specimen as a function of the position coordinates. The literature on the investigation of vibration and stability problems of composite structures that composed of ceramic, FGM, and metal layers is scarce. Sofiyev et al [13] and Sofiyev [14] studied vibration and stability of three-layered truncated conical and cylindrical shells containing an FGM layer subjected to an axial compressive load, respectively. For some cases, these shells are embedded in an elastic medium. The stability problem of composite cylindrical shells that composed of ceramic-FGM-metal layers embedded in an elastic medium, subjected to an axial compressive load. It is very important to develop an accurate, reliable analysis towards the understanding of the stability characteristics of the layered FGM structures with the effect of an elastic medium
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
