LAUSR

Abstract In the present article, the dynamic instability of shells subjected to periodic in-plane and external pressure loadings in thermal environment is considered. The considered shells are made of laminated composite of carbon fibers and the reinforced polymeric matrix by randomly oriented carbon-nanotubes (CNTs) which is functionally distributed in each layer. Consequently, the considered material is made of three phases of fiber/polymer/CNT. The extended governing equilibrium and compatibility equations are solved by a coupled formulation which combines the isogeometric analysis (IGA) and finite element method (FEM) in two orthogonal direction of the parametric space . Since the proposed coupled IGA-FE method is developed in form of the finite strip (FS) elements, it is named isogeometric B-spline finite strip method (IG-SFSM). In order to perform the parametric studies , the effects of various geometrical and mechanical properties, boundary conditions and temperatures are considered. The obtained results show that IG-SFSM is an applicable method for dynamic instability assessment of the shells which can reduce the computational efforts comparing to the other prevalent methods such as FEM and element-free family, and also reduce the restrictions and shortcomings of the standard IGA methods.