A Multiscale Fracture Model using Peridynamic Enrichment of Finite Elements within an Adaptive Partition of Unity: Experimental Validation

TL;DR

This paper presents a multiscale fracture modeling approach combining peridynamics and partition of unity methods, validated against experimental data, demonstrating accurate crack growth simulation with adaptive local subdomains.

Contribution

It introduces a coupled PD/PUM simulation framework with adaptive local subdomains for fracture modeling, validated through experimental comparison.

Findings

Good agreement between simulation and experimental crack paths.

Adaptive local subdomains effectively capture crack growth.

The method improves multiscale fracture prediction accuracy.

Abstract

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Within the PUM global-local enrichment scheme [1, 2] different physical models can exist to capture multiscale behavior. For instance, we consider classical linear elasticity globally and local zones where fractures occur. The elastic fields of the undamaged media provide appropriate boundary data for local PD simulations on a subdomain containing the crack tip to grow the crack path. Once the updated crack path is found, the elastic field in the body and surrounding the crack is updated using PUM basis with appropriate enrichment near the crack. The subdomain for the PD simulation is chosen to include the current crack tip as well as nearby features that will influence crack growth. This paper is part II of this series and validates the combined PD/PUM simulator against the experimental results presented in [3]. The presented results show that we can attain good agreement between experimental and simulation data with a local PD subdomain that is moving with the crack tip and adaptively chosen size.