Abstract
The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for ‘small’ displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 673-689 |
| Number of pages | 17 |
| Journal | Archive of Applied Mechanics |
| Volume | 90 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Apr 2020 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Funding
U. Eroglu was Visiting Researcher at the Dipartimento d’ingegneria strutturale e geotecnica, University ‘La Sapienza’, the support of which is gratefully acknowledged. G. Ruta acknowledges the financial support of institutional grants of ‘La Sapienza’ and of PRIN 2015TTJN95 “Identification and monitoring of complex structural systems” from Italian Ministry of University and Research. U. Eroglu and E. Tufekci acknowledge the support of the Scientific and Technological Council of Turkey (TUBITAK) with Grant Project No. 213M608.
| Funders | Funder number |
|---|---|
| Ministero dell’Istruzione, dell’Università e della Ricerca | |
| Türkiye Bilimsel ve Teknolojik Araştirma Kurumu | 213M608 |
Keywords
- Closed-form solutions
- Damage
- Exact solutions
- Fracture mechanics
- Parabolic arch