Stress-Driven Nonlocal Modeling and Arc-Length Simulation of Post-Buckling Behavior of Functionally Graded Shallow Nano-Arches Under Partial Loading
International Journal of Structural Stability and Dynamics, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s0219455427502774
- Dergi Adı: International Journal of Structural Stability and Dynamics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: arc-length method, functionally graded materials, GDQM, post-buckling, Shallow nano-arch, stress-driven nonlocal elasticity
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
This study examines the nonlinear buckling response of functionally graded shallow circular nano-arches within the framework of the stress-driven nonlocal elasticity theory and Euler–Bernoulli beam kinematics. Geometric nonlinearity is incorporated through von Kármán strain-displacement relations, and the governing equations are discretized using the Generalized Differential Quadrature Method (GDQM). A possible equilibrium path, including the post-buckling regime, is traced via the arc-length method to capture potential instability phenomena. A parametric investigation is conducted to explore the influence of boundary conditions, geometric characteristics, nonlocal material length scale, gradation profile, and the extent of a partially applied transverse load on the buckling behavior. The results reveal that shallow nano-arches may exhibit multiple instability patterns, snap-back, and looping — depending on the combined effects of small-scale parameters, material gradation, loading characteristics and Boundary Conditions (BCs). To the authors’ knowledge, this is the first study to analyze the post-buckling behavior of functionally graded shallow nano-arches subjected to non-uniform partial loading using the stress-driven nonlocal elasticity model in conjunction with an arc-length solution strategy.