Quasistatic rheology of soft cellular systems using Cellular Potts Model

Soft cellular systems, such as foams or biological tissues, exhibit highly complex rheological properties, even in the quasistatic regime, that numerical modeling can help to apprehend. We present a numerical implementation of quasistatic strain within the widely used cellular Potts model. The accur...

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Bibliographic Details
Published inarXiv.org
Main Authors Villemot, François, Durand, Marc
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.04.2021
Subjects
Cellular structure
Foams
Model accuracy
Physics - Soft Condensed Matter
Rheological properties
Rheology
Stress-strain relationships
Tissues
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Summary:Soft cellular systems, such as foams or biological tissues, exhibit highly complex rheological properties, even in the quasistatic regime, that numerical modeling can help to apprehend. We present a numerical implementation of quasistatic strain within the widely used cellular Potts model. The accuracy of the method is tested by simulating the quasistatic strain 2D dry foams, both ordered and disordered. The implementation of quasistatic strain in CPM allows the investigation of sophisticated interplays between stress-strain relationship and structural changes that take place in cellular systems.
ISSN:2331-8422
DOI:10.48550/arxiv.2104.09845