Interpolation of Microscale Stress and Strain Fields Based on Mechanical Models

TL;DR

This paper presents a new mechanical modeling procedure to accurately recover microscale stress and strain fields in particle systems, demonstrating excellent numerical agreement and potential for multiscale applications.

Contribution

A novel method for estimating microscale stress and strain fields using mechanical models, compatible with quasicontinuum stress concepts and applicable to complex loading scenarios.

Findings

High accuracy in simple loading conditions

Consistency with quasicontinuum stress fields

Effective in complex loading scenarios like defects and indentation

Abstract

In this short contribution we introduce a new procedure to recover the stress and strain fields for particle systems by mechanical models. Numerical tests for simple loading conditions have shown an excellent match between the estimated values and the reference values. The estimated stress field is also consistent with the so called Quasicontinuum stress field, which suggests its potential application for scale bridging techniques. The estimated stress fields for complicated loading conditions such as defect and indentation are also demonstrated