Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature

• 作者: H.V.TUNG L.T.N.TRANG
• 来源期刊: 应用数学和力学（英文版）
• 年，卷（期）: 2021,（9）
• 页码范围: 1327-1348
• 页数: 22页
• 分类号: O242
• 语种: 英文

摘要

The nonlinear stability of sandwich cylindrical shells comprising porous func-tionally graded material (FGM) and carbon nanotube reinforced composite (CNTRC)layers subjected to uniform temperature rise is investigated.Two sandwich models cor-responding to CNTRC and FGM face sheets are proposed.Carbon nanotubes (CNTs) in the CNTRC layer are embedded into a matrix according to functionally graded distribu-tions.The effects of porosity in the FGM and the temperature dependence of properties of all constituent materials are considered.The effective properties of the porous FGM and CNTRC are determined by using the modified and extended versions of a linear mixture rule,respectively.The basic equations governing the stability problem of thin sandwich cylindrical shells are established within the framework of the Donnell shell the-ory including the von Kármán-Donnell nonlinearity.These equations are solved by using the multi-term analytical solutions and the Galerkin method for simply supported shells.The critical buckling temperatures and postbuckling paths are determined through an it-eration procedure.The study reveals that the sandwich shell model with a CNTRC core layer and relatively thin porous FGM face sheets can have the best capacity of thermal load carrying.In addition,unlike the cases of mechanical loads,porosities have beneficial effects on the nonlinear stability of sandwich shells under the thermal load.It is sug-gested that an appropriate combination of advantages of FGM and CNTRC can result in optimal efficiency for advanced sandwich structures.