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Quasistatic rheology of soft cellular systems using the cellular Potts model
François Villemot1, Marc Durand1
1Université de Paris, CNRS, UMR 7057, Matière et Systèmes Complexes (MSC), F-75006 Paris, France.
Abstract:
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 (CPM). The accuracy of the method is tested by simulating the quasistatic strain of two-dimensional 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.
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