Quasistatic rheology of soft cellular systems using Cellular Potts Model

TL;DR

This paper introduces a numerical method to simulate quasistatic rheology in soft cellular systems like foams and tissues using the Cellular Potts Model, enabling detailed analysis of stress-strain behavior and structural evolution.

Contribution

It presents a novel implementation of quasistatic strain in the Cellular Potts Model, allowing for advanced simulations of complex cellular rheology.

Findings

Validated the method with 2D foam simulations

Captured stress-strain relationships in ordered and disordered systems

Enabled analysis of structural changes during deformation

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. 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.