Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

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Atıf İçin Kopyala

Tekin Atacan A., Yükseler R. F.

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2023 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2023
• Doi Numarası: 10.1177/09544062231209146
• Dergi Adı: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
• Anahtar Kelimeler: Functionally graded material, geometric nonlinear analysis, modified slenderness ratio, shallow arch, snap-buckling
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Snap-through analysis of thin, functionally graded (FG), fixed, circular shallow arches subjected to uniformly distributed vertical load is examined in this paper. The modulus of elasticity varies gradually along with the normal to the axis of the arch in alliance with the power law form. The solution of the geometrically nonlinear problem is carried out by using a numerical scheme accounting for the moderately large deflections theory based on small strain and moderate rotation in the von Kármán sense. The combined effect of the parameters that is, the power law index, the ratio of the modulus of elasticity and the modified slenderness ratio on the support reactions, the snap-buckling and post-buckling behaviors of the fixed circular shallow arches are examined. It is found that the lowest buckling load is considerably affected by the variation of these parameters. In addition, the effects of the material distribution on internal forces, deformed configurations and rotation angle are presented at various stages of the deformation.