Localization Study of a Non-Local Energetic Damage Model

TL;DR

This paper analyzes a non-local damage model both analytically and numerically, demonstrating its effectiveness and absence of pathological features in a simple localization test.

Contribution

It provides the first detailed analysis of a rate-independent non-local damage model, validating its behavior through bifurcation analysis.

Findings

Model is free of pathological features in localization test

Analytical and numerical solutions are consistent

Supports the model's reliability for damage localization studies

Abstract

The contribution presents an analysis of a rate-independent non-local damage model, recently proposed by (Mielke and Roubicek, 2006). An analytical as well as numerical solution of a simple one-dimensional bifurcation problem is performed, demonstrating that, for the elementary localization test, the model is free of pathological features.