Modeling and solution of the buckling problem of axially loaded laminated nanocomposite truncated conical shells in thermal environments
Mahmure Avey
Analytical Information Resources Center of UNEC-Azerbaijan State Economics University, Baku, Azerbaijan
Application and Research Center, Istanbul Ticaret University, Istanbul, Turkey
Search for more papers by this authorNigar Aslanova
Department of Mathematics of Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Search for more papers by this authorCorresponding Author
Abdullah Sofiyev
Department of Mathematics, Istanbul Ticaret University, Istanbul, Turkey
Scientific Research Department, Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Scientific Research Center, Odlar Yurdu University, Baku, Azerbaijan
Correspondence
Abdullah Sofiyev, Department of Mathematics, Istanbul Ticaret University, Istanbul, 34445, Turkey.
Email: [email protected]
Search for more papers by this authorMahmure Avey
Analytical Information Resources Center of UNEC-Azerbaijan State Economics University, Baku, Azerbaijan
Application and Research Center, Istanbul Ticaret University, Istanbul, Turkey
Search for more papers by this authorNigar Aslanova
Department of Mathematics of Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Search for more papers by this authorCorresponding Author
Abdullah Sofiyev
Department of Mathematics, Istanbul Ticaret University, Istanbul, Turkey
Scientific Research Department, Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Scientific Research Center, Odlar Yurdu University, Baku, Azerbaijan
Correspondence
Abdullah Sofiyev, Department of Mathematics, Istanbul Ticaret University, Istanbul, 34445, Turkey.
Email: [email protected]
Search for more papers by this authorAbstract
In this study, the modeling and solution of buckling problem of axially loaded laminated truncated conical shells (LTCSs) consisting of functionally graded (FG) nanocomposite plies (NCPs) in thermal environments are investigated in the framework extended shear deformation theory (ST). The effective material properties and thermal expansion coefficients of each NCPs are computed using extended rule-of mixture (ROM) method and molecular dynamics (MD) simulation techniques. Basic relations and equations for LTCSs consisting of NCPs in thermal environments are derived and solved to find the expression for the dimensionless critical axial load (DCAL). The numerical results of the theoretical approach are compared with reliable results found in the literature obtained using a different methodology. Finally, the effects of thermal environments, NCP models, shear stresses and lay-up on the DCAL of LCTSs are studied.
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