Time-discontinuous-plasticity

This repository contains the code used to simulate the time-discontinuous plasticity model introduced in the article "A time-discontinuous elasto-plasticity formalism to simulate instantaneous plastic flow bursts". The model, implemented in FEniCSX, introduces a plastic threshold parameter, $\Delta p_{\min}$, which captures the spatial and temporal localization of plastic flow in elastoplastic materials.

Contents

• time_discontinuous_plasticity_fenicsx.py: Contains the source code for the time-discontinuous plasticity model in FEniCSX
• Flat_specimen_refined_01.msh: Contains the geometry used in the reference simulation
• averaged_data: Folder where simulation statistics of stress and plastic strain are save. They are obtained by volume integration over the gauge length.

Requirements

Before running the simulations, ensure that you have the following dependencies installed:

• Python 3.10.10
• NumPy: 1.24.3
• SciPy: 1.11.4
• ufl: 2023.1.1.post0
• FEniCSX 0.6.0 for time_discontinuous_plasticity_fenicsx_V0_6_0.py OR FEniCSX 0.7.3 for time_discontinuous_plasticity_fenicsx_V0_7_3.py

Installation instructions for can be found at the FEniCSX Documentation

Videos and data sets

Videos and data sets of the simulation obtained from the time-discontinuous-plasticity simulation can be found in the Zenodo repository titled `Time-discontinuous plasticity, data and videos’ at doi.org/10.5281/zenodo.13823869.