The role of different sliding resistances in limit analysis of hemispherical masonry domes
A limit analysis method for masonry domes composed of interlocking blocks with non-isotropic sliding resistance is under development. This paper reports the first two steps of that work. It first introduces a revision to an existing limit analysis approach using the membrane theory to find the minim...
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Gruppo Italiano Frattura
2020-01-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2547 |
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| author | Elham Mousavian Claudia Casapulla |
| author_facet | Elham Mousavian Claudia Casapulla |
| author_sort | Elham Mousavian |
| collection | DOAJ |
| description | A limit analysis method for masonry domes composed of interlocking blocks with non-isotropic sliding resistance is under development. This paper reports the first two steps of that work. It first introduces a revision to an existing limit analysis approach using the membrane theory to find the minimum thickness of a hemispherical dome under its own weight and composed of conventional blocks with finite isotropic friction. The coordinates of an initial axisymmetric membrane surface are the optimization variables. During the optimization, the membrane satisfies the equilibrium conditions and meets the sliding constraints where intersects the block interfaces. The results of the revised procedure are compared to those obtained by other approaches finding the thinnest dome. A heuristic method using convex contact model is then introduced to find the sliding resistance of the corrugated interlocking interfaces. Sliding of such interfaces is constrained by the Coulomb’s friction law and by the shear resistance of the locks keeping the blocks together along two orthogonal directions. The role of these two different sliding resistances is discussed and the heuristic method is applied to the revised limit analysis method. |
| format | Article |
| id | doaj-art-24c96bb59de145fa82969132aa04742b |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-24c96bb59de145fa82969132aa04742b2025-01-03T00:39:30ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932020-01-01145133635510.3221/IGF-ESIS.51.252547The role of different sliding resistances in limit analysis of hemispherical masonry domesElham MousavianClaudia CasapullaA limit analysis method for masonry domes composed of interlocking blocks with non-isotropic sliding resistance is under development. This paper reports the first two steps of that work. It first introduces a revision to an existing limit analysis approach using the membrane theory to find the minimum thickness of a hemispherical dome under its own weight and composed of conventional blocks with finite isotropic friction. The coordinates of an initial axisymmetric membrane surface are the optimization variables. During the optimization, the membrane satisfies the equilibrium conditions and meets the sliding constraints where intersects the block interfaces. The results of the revised procedure are compared to those obtained by other approaches finding the thinnest dome. A heuristic method using convex contact model is then introduced to find the sliding resistance of the corrugated interlocking interfaces. Sliding of such interfaces is constrained by the Coulomb’s friction law and by the shear resistance of the locks keeping the blocks together along two orthogonal directions. The role of these two different sliding resistances is discussed and the heuristic method is applied to the revised limit analysis method.https://www.fracturae.com/index.php/fis/article/view/2547computer aided conceptual designstructurally informed designlimit analysisinterlocking blocksnon-isotropic sliding resistancesnetwork of forces |
| spellingShingle | Elham Mousavian Claudia Casapulla The role of different sliding resistances in limit analysis of hemispherical masonry domes Fracture and Structural Integrity computer aided conceptual design structurally informed design limit analysis interlocking blocks non-isotropic sliding resistances network of forces |
| title | The role of different sliding resistances in limit analysis of hemispherical masonry domes |
| title_full | The role of different sliding resistances in limit analysis of hemispherical masonry domes |
| title_fullStr | The role of different sliding resistances in limit analysis of hemispherical masonry domes |
| title_full_unstemmed | The role of different sliding resistances in limit analysis of hemispherical masonry domes |
| title_short | The role of different sliding resistances in limit analysis of hemispherical masonry domes |
| title_sort | role of different sliding resistances in limit analysis of hemispherical masonry domes |
| topic | computer aided conceptual design structurally informed design limit analysis interlocking blocks non-isotropic sliding resistances network of forces |
| url | https://www.fracturae.com/index.php/fis/article/view/2547 |
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