A Mathematical Approach to the Buckling Problem of Axially Loaded Laminated Nanocomposite Cylindrical Shells in Various Environments

AVEY A., Avey M., Aslanova N. M.

Mathematical and Computational Applications, cilt.30, sa.1, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/mca30010010
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, INSPEC, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: axial buckling load, cross-ply cylindrical shells, FG nanocomposite orthotropic material, stability, thermal environment, two-parameter elastic foundation
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this study, the solution of the buckling problem of axially loaded laminated cylindrical shells consisting of functionally graded (FG) nanocomposites in elastic and thermal environments is presented within extended first-order shear deformation theory (FOST) for the first time. The effective material properties and thermal expansion coefficients of nanocomposites in the layers are computed using the extended rule of mixture method and molecular dynamics simulation techniques. The governing relations and equations for laminated cylindrical shells consisting of FG nanocomposites on the two-parameter elastic foundation and in thermal environments are mathematically modeled and solved to find the expression for the axial buckling load. The numerical results of the current analytical approach agree well with the existing literature results obtained using a different methodology. Finally, some new results and interpretations are provided by investigating the influences of different parameters such as elastic foundations, thermal environments, FG nanocomposite models, shear stress, and stacking sequences on the axial buckling load.