Buckling Analysis of Thin-Walled Beams by Two-Phase Local–Nonlocal Integral Model
Iranian Journal of Science and Technology - Transactions of Mechanical Engineering, vol.47, no.2, pp.765-777, 2023 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 47 Issue: 2
- Publication Date: 2023
- Doi Number: 10.1007/s40997-022-00546-5
- Journal Name: Iranian Journal of Science and Technology - Transactions of Mechanical Engineering
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, INSPEC, Metadex
- Page Numbers: pp.765-777
- Keywords: Buckling, Micro, Nano, Nonlocal, Thin-walled, Two-phase
- Akdeniz University Affiliated: Yes
Abstract
© 2022, The Author(s), under exclusive licence to Shiraz University.A mathematical model is developed based on the thin-walled beam theory for buckling analysis of beams showing nonlocal properties. Constitutive equations of the thin-walled beams are defined by using two-phase local–nonlocal integral formulation. The developed model accounts for flexural–torsional coupling and warping effects as well as nonlocal elasticity. Governing equations of the nonlocal thin-walled beams which may have arbitrary open or closed cross-sections are derived by using the principle of minimum potential energy. Both local and nonlocal parts of the model are solved by a displacement-based finite element method, and formulation is given in detail. The effects of nonlocal parameters on the critical buckling force and buckling modes of nonlocal thin-walled beams are investigated for both open and closed cross-sections.