MATLAB Script for the Closed-Form Analysis of Springback due to Inelastic Bending of Beams Based on Eigenstrain Theory

This repository contains MATLAB scripts developed for the analytical modeling of chemo-mechanical stress and residual eigenstrain formation in lithium-ion battery electrodes during lithiation and delithiation. The scripts implement a one-dimensional diffusion–mechanics framework that couples Fick's lithium transport with an elastic–perfectly plastic constitutive model, enabling the prediction of lithium concentration profiles, stress evolution, and plastic strain distribution throughout the electrode thickness. The framework also includes a fracture-aware capping scheme that simulates microcrack-induced stress relaxation by proportionally reducing plastic eigenstrain in overstressed regions. Users can modify key parameters such as electrode thickness, lithium diffusivity, yield strength, and Vegard’s coefficient to perform parametric studies or extend the analysis to other electrode materials. All plots and results presented in the associated manuscript are fully reproducible using the provided MATLAB code. This resource supports further research on chemo-mechanical degradation mechanisms, residual stress modeling, and eigenstrain-based analysis of battery electrode integrity.