Semianalytical Lower-Bound Limit Analysis of Domes and Vaults
The calculation of the collapse load of spherical domes is addressed using a semianalytical approach under the hypothesis of small displacements and perfect plasticity. The procedure is based on the numerical approximation of the self-stress that represents the projection of the balance equilibrium...
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| Format: | Article |
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MDPI AG
2022-09-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/18/9155 |
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| author | Renato Zona Luca Esposito Simone Palladino Elena Totaro Vincenzo Minutolo |
| author_facet | Renato Zona Luca Esposito Simone Palladino Elena Totaro Vincenzo Minutolo |
| author_sort | Renato Zona |
| collection | DOAJ |
| description | The calculation of the collapse load of spherical domes is addressed using a semianalytical approach under the hypothesis of small displacements and perfect plasticity. The procedure is based on the numerical approximation of the self-stress that represents the projection of the balance equilibrium null space on a finite dimensional manifold. The so-obtained self-equilibrated stress span is superimposed onto a finite-element linear elastic solution to the prescribed loads yielding to the statically admissible set accordingly to Melan’s theorem. The compatibility of the stress with the constitutive law of the material was enforced using a linearized limit domain in terms of generalized stress, namely, axial force and bending moment along the local spherical curvilinear coordinates. The procedure was tested with reference to numerical and experimental data from the literature, confirming the accuracy of the proposed method. A comparison with the literature confirms that the buckling load was much greater than the two plastic collapse loads calculated through the proposed procedure and reported in the quoted literature. |
| first_indexed | 2024-03-10T00:49:26Z |
| format | Article |
| id | doaj.art-e0352507b20141d88c9c12480c97d0b1 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T00:49:26Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-e0352507b20141d88c9c12480c97d0b12023-11-23T14:53:53ZengMDPI AGApplied Sciences2076-34172022-09-011218915510.3390/app12189155Semianalytical Lower-Bound Limit Analysis of Domes and VaultsRenato Zona0Luca Esposito1Simone Palladino2Elena Totaro3Vincenzo Minutolo4Department of Engineering, University of Campania “L. Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “L. Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “L. Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “L. Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “L. Vanvitelli”, 81031 Aversa, ItalyThe calculation of the collapse load of spherical domes is addressed using a semianalytical approach under the hypothesis of small displacements and perfect plasticity. The procedure is based on the numerical approximation of the self-stress that represents the projection of the balance equilibrium null space on a finite dimensional manifold. The so-obtained self-equilibrated stress span is superimposed onto a finite-element linear elastic solution to the prescribed loads yielding to the statically admissible set accordingly to Melan’s theorem. The compatibility of the stress with the constitutive law of the material was enforced using a linearized limit domain in terms of generalized stress, namely, axial force and bending moment along the local spherical curvilinear coordinates. The procedure was tested with reference to numerical and experimental data from the literature, confirming the accuracy of the proposed method. A comparison with the literature confirms that the buckling load was much greater than the two plastic collapse loads calculated through the proposed procedure and reported in the quoted literature.https://www.mdpi.com/2076-3417/12/18/9155limit analysis of domesconcrete capsexperiment comparisonnot tensile-resistant materialsfinite element |
| spellingShingle | Renato Zona Luca Esposito Simone Palladino Elena Totaro Vincenzo Minutolo Semianalytical Lower-Bound Limit Analysis of Domes and Vaults Applied Sciences limit analysis of domes concrete caps experiment comparison not tensile-resistant materials finite element |
| title | Semianalytical Lower-Bound Limit Analysis of Domes and Vaults |
| title_full | Semianalytical Lower-Bound Limit Analysis of Domes and Vaults |
| title_fullStr | Semianalytical Lower-Bound Limit Analysis of Domes and Vaults |
| title_full_unstemmed | Semianalytical Lower-Bound Limit Analysis of Domes and Vaults |
| title_short | Semianalytical Lower-Bound Limit Analysis of Domes and Vaults |
| title_sort | semianalytical lower bound limit analysis of domes and vaults |
| topic | limit analysis of domes concrete caps experiment comparison not tensile-resistant materials finite element |
| url | https://www.mdpi.com/2076-3417/12/18/9155 |
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