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Abstract
This work concerns the analysis of a thin-walled box made of ceramic and step-variable functionally graded material (FGM) subjected to compression. The components of the box taken into account were pure alumina and aluminium-alumina graded material. The problem was solved on the basis of a finite element method and Koiter’s asymptotic theory using a semi-analytical method (SAM). It analysed both the buckling state and the post-buckling state of the box. In addition, three conditions were considered: The presence of alumina outside or inside of the box and a mixed case. The obtained results were presented and discussed.
Highlights
Since the concept of functionally graded material (FGM) was first presented in 1984 by Japanese researcher Niino, he and others dealt with the investigation of FGMs in the following years [1,2,3].Nowadays, these types of materials are still treated as modern materials that, through varying different properties throughout their thickness, can carry loads in hard conditions, especially in high-temperature environment
Trabelsi et al [8] investigated the response of FGM shell structures due to a thermal load by the use of a first-order shear deformation theory (FOSDT)
Before starting with the analysis of the results, one should return to Reference [15], where compliance with Koiter’s theory enabled the phenomenon of the influence of the imperfection sign on local post-critical equilibrium paths of plates made of functionally graded material to be explained
Summary
Since the concept of functionally graded material (FGM) was first presented in 1984 by Japanese researcher Niino, he and others dealt with the investigation of FGMs in the following years [1,2,3]. Trabelsi et al [8] investigated the response of FGM shell structures (plates and cylindrical shells separately) due to a thermal load by the use of a first-order shear deformation theory (FOSDT). The authors solved the problem by using a nonlinear finite element method and a first-order shear plate theory. Yang and Shen [17] analysed an FGM plate under thermo-mechanical loads regarding various boundary conditions They used Reddy’s higher-order shear deformation plate theory (HOSDPT). Owing to the fact that on the basis of literature, a similar analysis of step-variable gradation material in connection with ceramic on such a box has not been conducted before, the results of the present study seem to be very interesting especially as they separately consider two methods of calculation
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