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

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  • Marcelo Calcina-Nogales
  • Boris Atenas
  • Juan Cesar Flores

Abstract

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.

Suggested Citation

  • Marcelo Calcina-Nogales & Boris Atenas & Juan Cesar Flores, 2023. "Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone’s legacy," PLOS ONE, Public Library of Science, vol. 18(11), pages 1-12, November.
    • Handle: RePEc:plo:pone00:0292486
    DOI: 10.1371/journal.pone.0292486
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    1. repec:plo:pone00:0088657 is not listed on IDEAS
    2. Erica Chenoweth & Andrew Hocking & Zoe Marks, 2022. "A dynamic model of nonviolent resistance strategy," PLOS ONE, Public Library of Science, vol. 17(7), pages 1-19, July.
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