Cracking patterns of brittle hemispherical domes: an experimental study

Crack formation in hemispherical domes is a distinguished problem in structural mechanics. The safety of cracked domes has a long track record; the evolution of the cracking pattern received less attention. Here, we report displacement-controlled loading tests of brittle hemispherical dome specimens...

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Main Authors: Siwen Cao, Andr�s A. Sipos
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2022-01-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/3267/3419
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author Siwen Cao
Andr�s A. Sipos
author_facet Siwen Cao
Andr�s A. Sipos
author_sort Siwen Cao
collection DOAJ
description Crack formation in hemispherical domes is a distinguished problem in structural mechanics. The safety of cracked domes has a long track record; the evolution of the cracking pattern received less attention. Here, we report displacement-controlled loading tests of brittle hemispherical dome specimens, including the evolution of the meridional cracking pattern. The 27 investigated specimens, 20 cm in diameter, were prepared in 3D printed molds, and their material is one of the three mixtures of gypsum and cement. We find that neither the (limited) tensile strength nor the exact value of the thickness significantly affects the statistical description of the cracking pattern, i.e., the cracking phenomenon is robust. The maximal number of the meridional cracks never exceeds seven before the fragments� disintegration (collapse). We find that the size distribution of the fragments exhibits a lognormal distribution. The evolution is reflected in the load-displacement diagrams recorded in the test, too, as significant drops in the force are accompanied by an emergence of one or more new cracks, reflecting the brittle nature of the phenomenon. A simple, stochastic fragmentation model, in which a segment is fragmented at either in the middle or at the fourth point, fairly recovers the observed size distribution.
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spelling doaj-art-57cbab5df9a44edc8a24e86393f58d1f2025-01-03T00:39:56ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932022-01-01165926531010.3221/IGF-ESIS.59.2010.3221/IGF-ESIS.59.20Cracking patterns of brittle hemispherical domes: an experimental studySiwen CaoAndr�s A. SiposCrack formation in hemispherical domes is a distinguished problem in structural mechanics. The safety of cracked domes has a long track record; the evolution of the cracking pattern received less attention. Here, we report displacement-controlled loading tests of brittle hemispherical dome specimens, including the evolution of the meridional cracking pattern. The 27 investigated specimens, 20 cm in diameter, were prepared in 3D printed molds, and their material is one of the three mixtures of gypsum and cement. We find that neither the (limited) tensile strength nor the exact value of the thickness significantly affects the statistical description of the cracking pattern, i.e., the cracking phenomenon is robust. The maximal number of the meridional cracks never exceeds seven before the fragments� disintegration (collapse). We find that the size distribution of the fragments exhibits a lognormal distribution. The evolution is reflected in the load-displacement diagrams recorded in the test, too, as significant drops in the force are accompanied by an emergence of one or more new cracks, reflecting the brittle nature of the phenomenon. A simple, stochastic fragmentation model, in which a segment is fragmented at either in the middle or at the fourth point, fairly recovers the observed size distribution.https://www.fracturae.com/index.php/fis/article/view/3267/3419cracking patternbrittle materialhemispherical domeevolutionexperimental study
spellingShingle Siwen Cao
Andr�s A. Sipos
Cracking patterns of brittle hemispherical domes: an experimental study
Fracture and Structural Integrity
cracking pattern
brittle material
hemispherical dome
evolution
experimental study
title Cracking patterns of brittle hemispherical domes: an experimental study
title_full Cracking patterns of brittle hemispherical domes: an experimental study
title_fullStr Cracking patterns of brittle hemispherical domes: an experimental study
title_full_unstemmed Cracking patterns of brittle hemispherical domes: an experimental study
title_short Cracking patterns of brittle hemispherical domes: an experimental study
title_sort cracking patterns of brittle hemispherical domes an experimental study
topic cracking pattern
brittle material
hemispherical dome
evolution
experimental study
url https://www.fracturae.com/index.php/fis/article/view/3267/3419
work_keys_str_mv AT siwencao crackingpatternsofbrittlehemisphericaldomesanexperimentalstudy
AT andrsasipos crackingpatternsofbrittlehemisphericaldomesanexperimentalstudy