Buckling and post-buckling of parabolic arches with local damage

Uğurcan Eroglu*, Giuseppe Ruta, Achille Paolone, Ekrem Tüfekci

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)


Most studies on cracked one-dimensional structural elements deal with their statics and free dynamics, while their stability is only given marginal consideration, especially arches. This chapter investigates buckling and post-buckling of parabolic arches with crack-like damages. The environment acts on the arch by: a vector force field, power dual of the incremental displacement of the axis; and a skew-symmetric tensor couple field, power dual of the incremental rotation of the cross-sections. The chapter presents two perturbation expansions of the finite governing equations for arches modeled as curved beams, in order to investigate their non-trivial fundamental path and their post-buckling path. Kinematics is finite, balance is in the actual configuration and only constitutive equations are supposed linear elastic. Future investigations will be about the quality of the post-buckling path and on linear vibration about non-trivial pre-stressed states, in order to detect the effect of local damages for monitoring purposes.

Original languageEnglish
Title of host publicationModern Trends in Structural and Solid Mechanics 1
Subtitle of host publicationStatics and Stability
Number of pages23
ISBN (Electronic)9781119831891
ISBN (Print)9781786307149
Publication statusPublished - 11 Jun 2021

Bibliographical note

Publisher Copyright:
© ISTE Ltd 2021.


  • Buckling modes
  • Crack-like damages
  • Linear vibration
  • Parabolic arches
  • Post-buckling


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