Abstract
The present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al2O3) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically based on a higher-order shear deformation plate theory, while proposing a Navier-type approximation to solve the governing equations for simply-supported plates with different porosity distributions in the thickness direction. The reliability of the proposed theory is checked successfully by comparing the present results with predictions available from literature based on further first-order or higher-order theories. A large parametric study is performed systematically to evaluate the effect of different mechanical properties, such as the material indexes, porosity volume fractions, porosity distributions, and length-to-thickness ratios, on the free vibration response of FG plates, as useful for the design purposes of most engineered materials and composite applications.
Highlights
Among novel materials, functionally graded materials (FGMs) have received special attention in many engineering applications, e.g., thermal coatings and electrical devices [1,2,3,4,5,6], energy transformation [7,8], biomedical engineering [9,10], optics [11,12], etc., due to their favorable mechanical properties
In Ref. [14], the authors analyzed the free vibration response of FG plates based on a third-order shear deformation plate theory combined with a global collocation solution method
The present work aims at studying the free vibration of SS porous FG plates made of Aluminum (Al) and Alumina (Al2 O3 ), based on a novel HSDT theory, whose material properties are supposed to vary continuously throughout the thickness according to a “power-law” properly modified to include the porosity sensitivity
Summary
Functionally graded materials (FGMs) have received special attention in many engineering applications, e.g., thermal coatings and electrical devices [1,2,3,4,5,6], energy transformation [7,8], biomedical engineering [9,10], optics [11,12], etc., due to their favorable mechanical properties. Based on results from literature, the importance of accounting for porosities in the design of FGM structures subjected to static [41,42,43,44] or dynamic loads [45,46] is evident even in a nonlocal sense [47] In such a context, the present work aims at studying the free vibration of SS porous FG plates made of Aluminum (Al) and Alumina (Al2 O3 ), based on a novel HSDT theory, whose material properties are supposed to vary continuously throughout the thickness according to a “power-law” properly modified to include the porosity sensitivity. The elastic moduli E, G, the Poisson’s ratio υ and the elastic coefficients Qij vary throughout the thickness, according to Equation (1)
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.
