Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.

A physical model, based on energy balances, is proposed to describe the fractures in solid structures such as stelae, tiles, glass, and others. We applied the model to investigate the transition of the Rosetta Stone from the original state to the final state with three major fractures. We consider a...

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Main Authors: Marcelo Calcina-Nogales, Boris Atenas, Juan Cesar Flores
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-01-01
Series:PLoS ONE
Online Access:https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0292486&type=printable
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author Marcelo Calcina-Nogales
Boris Atenas
Juan Cesar Flores
author_facet Marcelo Calcina-Nogales
Boris Atenas
Juan Cesar Flores
author_sort Marcelo Calcina-Nogales
collection DOAJ
description A physical model, based on energy balances, is proposed to describe the fractures in solid structures such as stelae, tiles, glass, and others. We applied the model to investigate the transition of the Rosetta Stone from the original state to the final state with three major fractures. We consider a statistical corner-breaking model with cutting rules. We obtain a probability distribution as a function of the area and the number of vertices. Our generic results are consistent with the current state of the Rosetta Stone and, additionally, predictions related to a fourth fracture are declared. The loss of information on such heritage pieces is considered through entropy production. The explicit quantification of this concept in information theory stays examined.
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spelling doaj.art-ecc9338f592347008bb10d38ede2bc1c2023-11-09T05:32:12ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-011811e029248610.1371/journal.pone.0292486Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.Marcelo Calcina-NogalesBoris AtenasJuan Cesar FloresA physical model, based on energy balances, is proposed to describe the fractures in solid structures such as stelae, tiles, glass, and others. We applied the model to investigate the transition of the Rosetta Stone from the original state to the final state with three major fractures. We consider a statistical corner-breaking model with cutting rules. We obtain a probability distribution as a function of the area and the number of vertices. Our generic results are consistent with the current state of the Rosetta Stone and, additionally, predictions related to a fourth fracture are declared. The loss of information on such heritage pieces is considered through entropy production. The explicit quantification of this concept in information theory stays examined.https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0292486&type=printable
spellingShingle Marcelo Calcina-Nogales
Boris Atenas
Juan Cesar Flores
Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
PLoS ONE
title Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
title_full Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
title_fullStr Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
title_full_unstemmed Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
title_short Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone's legacy.
title_sort griffith theory of physical fractures statistical procedures and entropy production rosetta stone s legacy
url https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0292486&type=printable
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AT juancesarflores griffiththeoryofphysicalfracturesstatisticalproceduresandentropyproductionrosettastoneslegacy