Abstract
AbstractNonlinear stability of nanocomposite spherical and cylindrical panels reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to uniform external pressure in thermal environments is investigated in this paper. CNTs are embedded into matrix phase through uniform distribution (UD) or functionally graded (FG) distribution, and effective properties of CNT-reinforced composite are estimated through an extended rule of mixture. Governing equations are based on classical shell theory taking geometrical nonlinearity, initial geometrical imperfection and panel-foundation interaction into consideration. Approximate solutions of deflection and stress functions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain nonlinear load-deflection relation. Numerical examples show the effects of volume fraction and distribution type of CNTs, in-plane condition of edges, curvature of panel, thermal environments, elastic foundations and imperfection size on the nonlinear response and snap-through instability of the curved panels. The present study reveals that efficiency of CNT distribution type depends on curvature of panel and in-plane behavior of boundary edges, and bifurcation type buckling response of pressure-loaded panels may occur at elevated temperature.
Highlights
Works of material scientists [1,2,3,4] shown that carbon nanotubes (CNTs) possess unprecedentedly extraordinary mechanical, electrical and thermal properties which no previous material has displayed
The present study reveals that e ciency of CNT distribution type depends on curvature of panel and in-plane behavior of boundary edges, and bifurcation type buckling response of pressureloaded panels may occur at elevated temperature
Motivated by previous works [55,56,57,58,59] and questions relating to type of buckling response of carbon nanotube reinforced composite (CNTRC) doubly curved panels under thermomechanical load, the present paper uses an analytical approach and Galerkin method to investigate the nonlinear stability of CNTRC doubly curved panels resting on elastic foundations and subjected to uniform external pressure in thermal environments
Summary
Works of material scientists [1,2,3,4] shown that carbon nanotubes (CNTs) possess unprecedentedly extraordinary mechanical, electrical and thermal properties which no previous material has displayed. Motivated by previous works [55,56,57,58,59] and questions relating to type of buckling response of CNTRC doubly curved panels under thermomechanical load, the present paper uses an analytical approach and Galerkin method to investigate the nonlinear stability of CNTRC doubly curved panels resting on elastic foundations and subjected to uniform external pressure in thermal environments. Both bifurcation point pressure and initial postbuckling strength (in small region of de ection) of the panels are basically decreased as the imperfection size μ is increased from − . Pressure-de ection curves are immediately dropped after bifurcation type buckling for small values of curvature, whereas pressure-de ection curves are increased in initial region of postbuckling de ection for larger values of curvature
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