A micropolar peridynamics model with non-unified horizon for damage of solids with different non-local effects

TL;DR

This paper introduces a micropolar peridynamics model with non-unified horizon (NHPD) that enhances flexibility in simulating damage in solids with varying non-local effects, using a finite element approach and a new failure criterion.

Contribution

It proposes a novel NHPD model with point-dependent horizons and a domain correction strategy, enabling damage simulation with adjustable non-local effects and improved failure prediction.

Findings

NHPD shows weak mesh dependency.

The new failure criterion effectively predicts damage.

Damage results are consistent across different non-local effects.

Abstract

Most peridynamics models adopt regular point distribution and unified horizon, limiting their flexibility and engineering applications. In this work, a micropolar peridynamics approach with non-unified horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework, using element-based discretization. By modifying the dual horizon approach into the pre-processing part, point dependent horizon and non-unified beam-like bonds are built. By implementing a domain correction strategy, the equivalence of strain energy density is assured. Then, a novel energy density-based failure criterion is presented which directly bridges the critical stretch to the mechanical strength. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion. Moreover, it is proven that damage of solid with different non-local effects can lead to similar results by only adjusting the mechanical strength.