An evolution model for polygonal tessellations as models for crack networks and other natural patterns

DOI10.1007/s10955-023-03146-yarXiv2301.09503MaRDI QIDQ6172054

Krisztina Regős, Gábor Domokos, Péter Bálint

Publication date: 16 August 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09503

zbMATH Keywords

mean field theorynormal tilingdiscrete/continuous time modelgeological crack network modellinear/nonlinear modelmicro-event probability

Mathematics Subject Classification ID

Fracture and damage (74R99) Geophysical solid mechanics (74L05) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Cites Work

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• A two-vertex theorem for normal tilings
• Stochastic and Integral Geometry
• Plato’s cube and the natural geometry of fragmentation
• On Some Average Properties of Convex Mosaics

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