Buckling and post-buckling responses of smart doubly curved composite shallow shells embedded in SMA fiber under hygro-thermal loading

Abstract

In this research, the post-buckling behaviors of doubly curved composite shells in hygro-thermal environment are investigated by employing multiple scales perturbation method. Three-phase composites shells with polymer/Carbon nanotube/fiber and polymer/Graphene platelet/fiber (PGF) and Shape Memory Alloy (SMA)/matrix according to Halpin-Tsai model are taken into consideration. The displacement-strain of laminated doubly curved shells via third-order shear deformation theory (TSDT) and using von-Kármán nonlinear shell theory is obtained. The governing equations of shallow shell are derived by implementing Hamilton's principle. For investigating correctness and accuracy, this paper is validated with other previous researches. Finally, different parameters such as volume fraction of SMA, temperature rise, various distribution patterns, aspect and curvature ratios are considered in this article. It is found that these parameters have significant effect on the thermal buckling loading.