Computational investigation of plastic deformation in face-centered cubic materials

TL;DR

This paper presents a mathematical model and software tool for simulating plastic deformation in FCC materials, validated against experimental stress-strain data, enhancing understanding of deformation mechanisms.

Contribution

A new ODE-based mathematical model and software tool for simulating FCC plastic deformation under various conditions.

Findings

Model accurately predicts stress-strain behavior

Software efficiently solves stiff ODE systems

Simulation results agree with experimental data

Abstract

A mathematical model of plastic deformation in face-centered cubic (FCC) materials based on a balance model taking into account fundamental properties of deformation defects of a crystal lattice was developed. This model is based on a system of ordinary differential equations (ODE) accounting for various mechanisms of generation and annihilation of deformation defects for different external conditions. In-house developed software, SPFCC (Slip Plasticity of Face-Centered Cubic), was employed to solve the system of ordinary differential equations. The implemented code solves efficiently the stiff ODE system and provides a user-friendly interface for investigation of various features of plastic deformation in FCC materials. Simulation of plastic deformation in the FCC metals was performed for the case of constant strain rate. The modelling results were validated by comparing experimental data and simulation results (stress-strain curves) and good agreement was obtained.